Which of the following expenses is not a fixed cost?

a. equipment leases
b. packaging costs
c. insurance
d. salary

Answers

Answer 1

Answer:

b.

packaging costs

Step-by-step explanation:

Answer 2

Packaging costs are not fixed costs.

Option B is the correct answer.

What is fixed cost?

Fixed costs are expenses that do not vary with changes in the volume of goods or services produced.

They are typically time-related and can be considered "fixed" in the short term.

We have,

(a) Equipment leases are usually fixed costs because they involve a set monthly or annual payment regardless of how much the equipment is used.

(c) Insurance can also be considered a fixed cost because the premium is usually paid regularly, such as monthly or annually, and does not change based on the number of claims made.

(d) Salaries are typically considered fixed costs because they are paid regularly and do not change based on the amount of work done or sales made.

However,

(b) packaging costs are typically variable costs because they are directly related to the number of products produced.

The more products produced, the more packaging materials are needed, resulting in higher packaging costs.

Thus,

Packaging costs are not fixed costs.

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Related Questions

What is the greatest common factor of 8x and 40y?

5
5xy
320
320xy

Answers

Answer:

8.

Step-by-step explanation:

It's none of those. It is 8, because 8 is a factor of 40 ( and of 8 of course).

Answer:

none of the above.

Step-by-step explanation:

when we talk about greatest common factor of  8 x  and 40 y

8 x = 2× 2× 2 × x........................................(1)

40 y = 2 × 2 × 2 × 5 × y..............................(2)

when we see both equation (1) and (2 )

then we can clearly see

that the greatest common are 2 × 2 × 2

so, the greatest common will be 2 × 2 × 2 = 8

hence , the correct answer will be none of the above.

Christine has monthly loan payments of $1,857. Her loan is for $300,000 @ 6.3% interest. How much of her first payment goes towards interest?

Answers

Answer:

The interest paid is $1575.

Step-by-step explanation:

Given is:

Monthly loan payment = $1857

Loan amount = $300000

Rate = 6.3% annual

So, monthly rate will be = [tex]6.3/12/100=0.00525[/tex]

Hence, we will calculate the interest for month.

[tex]0.00525\times300000=1575[/tex] dollars

So, interest paid = $1575.

Principle paid = [tex]1857-1575=282[/tex] dollars

What refers to the quantity of goods and services that consumers are willing to buy at a given price?

Answers

Answer:

  "demand"

Step-by-step explanation:

Vocabulary question.

  "Demand" refers to the quantity of goods and services that consumers are willing to buy at a given price.

The following table shows the amount of water leaking from an inflatable pool as a function of time:

x (time in minutes) f(x)
0 35
1 30
2 25
3 20
4 15

Find and interpret the meaning of the x‐intercept in this scenario.
A.) (7, 0); the time it takes to empty the water in the pool
B.) (5, 0); the time it takes to empty the water in the pool
C.) (5, 0); the time it takes to fill up the water in the pool
D.) (7, 0); the time it takes to fill up the water in the pool

Answers

Answer:

A).  (7, 0) The time it takes to empty the water in the  pool.

Step-by-step explanation:

If we extend the values we see that they are

x f(x)

5 10

5 5

7 0

So at time 7 minutes the pool is empty.

Answer:

(7, 0); the time it takes to empty the water in the pool

Step-by-step explanation:

The following table shows the amount of water leaking from an inflatable pool as a function of time:

x (time in minutes)    f(x)

0                            35

1                            30

2                            25

3                            20

4                             15

f(x) represents the amount of water in the pool. x intercept is the point where f(x) is 0 .At x intercept the amount of water in the pool is 0.

WE need to find out the point where f(x) becomes 0

F(x) is decreasing by 5. LEts extend the table till we get f(x) becomes 0

Decrease f(x) by 5

x (time in minutes)    f(x)

3                            20

4                             15

5                                  15-5=10

6                                  10-5=5

7                                   5-5=0

When x=7, f(x)=0. (7,0) is the x intercept.

(7, 0); the time it takes to empty the water in the pool

The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample statistics from one experiment include 520 peas with 140 of them having yellow pods. Find the value of the test statistic.

Answers

Answer:

Test statistic = z = 1.01264

Step-by-step explanation:

p = 0.25

q = 1 - p = 0.75

n = 520

x = 140

[tex]psample = \frac{x}{n} = \frac{140}{520} = 0.26923[/tex]

[tex]z = \frac{psample - p}{\sqrt{\frac{p*q}{n} } } =\frac{0.26923 - 0.25}{\sqrt{\frac{0.25 * 0.75 }{520} } } = \frac{0.01923}{\sqrt{\frac{0.1875}{520} } } = \frac{0.01923}{\ 0.01899} = 1.01264[/tex]

A shipping company must design a closed rectangular shipping crate with a square base. The volume is 3072ft3. The material for the top and sides costs $4 per square foot and the material for the bottom costs $2 per square foot. Find the dimensions of the crate that will minimize the total cost of material.

Answers

The dimensions that minimize the total cost of material for the shipping crate are:

- Length: 24 feet

- Width: 24 feet

- Height: 8 feet

To solve this problem, we can start by writing down the volume formula for a rectangular box with a square base:

Volume = Length × Width × Height

Given that the volume is 3072 ft³, we have:

3072 = L × W × H

We also know that the material for the top and sides costs $4 per square foot and the material for the bottom costs $2 per square foot. Let's denote the areas of the top, bottom, and sides as A_top, A_bottom, and A_sides, respectively.

A_top = L × W

A_bottom = L × W

A_sides = 2 × (L × H + W × H)

The total cost, C, can be expressed as:

C = 4 × (A_top + A_bottom) + 2 × A_sides

C = 4 × (L × W + L × W) + 2 × 2 × (L × H + W × H)

C = 8LW + 4LH + 4WH

We can substitute the volume equation into the cost equation to eliminate one variable. Let's express L in terms of W and H from the volume equation:

L = 3072 ÷ (W × H)

Now substitute L into the cost equation:

C = 8(3072 ÷ (WH))W + 4(3072 ÷ (WH))H + 4WH

C = 24576 ÷ H + 12288 ÷ W + 4WH

To minimize C, we take the derivative with respect to W and H, set them equal to zero, and solve for W and H:

∂C/∂W = -12288/W² + 4H = 0

∂C/∂H = -24576/H² + 4W = 0

Solving these equations gives us W = 24 and H = 8, which leads to L = 3072 ÷ (24 × 8) = 16.

So, the dimensions that minimize the total cost of material are Length: 24 feet, Width: 24 feet, and Height: 8 feet.

Complete Question:
A shipping company must design a closed rectangular shipping crate with a square base. The volume is 3072ft3. The material for the top and sides costs $4 per square foot and the material for the bottom costs $2 per square foot. Find the dimensions of the crate that will minimize the total cost of material.

How many cubic units is a box that is 3 units high

Answers

Answer:

18 cubic units

Step-by-step explanation:

There are 18 cubic units in a box that is 3 units high.

3 x 3 = 6

6 x 2 = 18

Explain the steps in calculating the mean absolute deviation of a set of data.

{Full explanation, NO spam answers, please! NO plagiarism, please!}

Thank you!

Answers

Explanation:

Step 1: find the mean of the data

Step 2: subtract the mean from every data value

Step 3: find the absolute values of the differences from Step 2

Step 4: find the mean of the absolute values from Step 3. This is the MAD.

_____

The mean and absolute value have their usual definitions.

The mean is the sum of a set of numbers, divided by the number of numbers in the set.

The absolute value is the numerical value of a number with its sign changed to positive, if it isn't already. For example, |-1| = 1 and |1| = 1. The vertical bars signify the absolute value of their contents.

Step-by-step explanation:

The only exception to that is that when you have a negative outside of the absolute value symbol, you will get a negative answer.

Ex: -|3| = -3

I am joyous to assist you anytime.

A figure formed by two rays that have the same endpoint

Answers

Answer:

That is known as a Vertex

Final answer:

A figure formed by two rays that share a common endpoint is known as an angle. The common endpoint is known as the vertex, while the rays are considered the sides of the angle.

Explanation:

In mathematics, a figure formed by two rays that share a common endpoint is known as an angle. The common endpoint is referred to as the vertex and the rays are referred to as the sides of the angle.

Rays in the context of angles means a straight line that starts from a point (vertex) and extends indefinitely in a particular direction. For example, in a page of a book when it is half open, the two visible pages represent the rays, and where the pages meet (the spine) represents the vertex.

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Suppose that the growth rate of children looks like a straight line if the height of a child is observed at the ages of 24​ months, 28​ months, 32​ months, and 36 months. If you use the regression obtained from these ages and predict the height of the child at 21​ years, you might find that the predicted height is 20 feet. What is wrong with the prediction and the process​ used?

Answers

Answer:

  The supposition is incorrect.

Step-by-step explanation:

The growth rate of a child is not constant, so height versus time does not look like a straight line. Nothing is wrong with the prediction made using the false assumption. You can conclude anything you like when you start with a false premise.

Jorge has a credit card debt of $7,600.97. Jorge’s credit card has an APR of 23.99% and asks that Jorge makes a minimum payment of 3.5% of his balance. For Jorge’s current balance, what is the minimum payment he must make to the credit card company each month?

a.
$266.03

b.
$228.03

c.
$2,280.29

d.
$2,660.34


If Jorge (from #6) pays the minimum payment each month how many months will it take Jorge to pay off his balance, assuming he doesn’t make any more charges to his credit card? Assume the card compounds monthly. You may want to use the TVM solver

a.
About 43 months

b.
About 23 months

c.
About 29 months

d.
About 30 months

Answers

Answer:

  a.  $266.03   a.  About 43 months

Step-by-step explanation:

1.  The calculation for the minimum payment is ...

  0.035 × $7600.97 = $266.03

__

2. The answer choices assume that Jorge makes a payment of $266.03 each month. After the first month, the minimum payment due is less than that amount. If Jorge only pays the minimum payment each month the balance will decrease by about 1.5% each month, and it will take about 31 years before the minimum payment is below $1.

The TVM Solver says it will be about 43 months for the card to be paid off if Jorge pays $266.03 each month.

In a survey of women in a certain country​ (ages 20minus​29), the mean height was 64.3 inches with a standard deviation of 2.77 inches. Answer the following question about the specified normal distribution. ​(a) What height represents the 95th ​percentile

Answers

Answer: 68.86 inches

Step-by-step explanation:

Given : In a survey of women in a certain country having

Mean : [tex]\mu=64.3\text{ inches}[/tex]

Standard deviation : [tex]\sigma=2.77\text{ inches}[/tex]

The z-value corresponds to 0.095 is 1.645.  [Using standard normal distribution table]

The height that represents the 95th percentile is given by :-

[tex]H=z\times\sigma+\mu\\\\=1.6449\times2.77+64.3=68.856373\approx68.86\text{ inches}[/tex]

Hence, the height represents the 95th ​percentile = 68.86 inches.

Answer:

95th ​percentile = 68.86 inches.

Step-by-step explanation:

Just took quiz :)

Is my answer I chose correct? I don't know how to determine if it doubled, tripled, or quadrupled...

Between 1965 and 1967, US troop strength

A) more than doubled.
B) more than tripled.
C) more than quadrupled.

Answers

Answer:

More than doubled

Step-by-step explanation:

The troop "strength" is basically just troop number. It went from about 200,000 to about 500,000.

US troop strength is more than doubled. The correct option is A.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

From the given data we can see that the troop "strength" is basically just troop number. It went from about 200,000 to about 500,000.

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Suppose θ is an angle in the standard position whose terminal side is in Quadrant IV and cot θ= -6/7 . Find the exact values of the five remaining trigonometric functions of θ. Show your work

Answers

Answer:

[tex]tan(\theta)=-\frac{7}{6}[/tex]

[tex]sec(\theta)=\frac{\sqrt{85} }{6}[/tex]

[tex]cos(\theta)=\frac{6\sqrt{85} }{85}[/tex]

[tex]sin(\theta)=-\frac{7\sqrt{85}}{85}[/tex]

[tex]cosec(\theta)=-\frac{\sqrt{85}}{7}[/tex]

Step-by-step explanation:

[tex]cot (\theta) = -\frac{6}{7}[/tex]

a) Since,

[tex]tan(\theta) = \frac{1}{cot(\theta)}[/tex]

[tex]tan(\theta) = \frac{1}{-\frac{6}{7} }=-\frac{7}{6}[/tex]

b) Also, according to the Pythagorean identity:

[tex]sec^{2}(\theta)=1+tan^{2}(\theta)[/tex]

Using the value of tan([tex]\theta[/tex]), we get:

[tex]sec^{2}(\theta)=1+(-\frac{7}{6} )^{2}\\\\ sec^{2}(\theta)=\frac{85}{36}\\\\ sec(\theta)=\pm \sqrt{\frac{85}{36} } \\\\ sec(\theta)=\pm \frac{\sqrt{85} }{6}[/tex]

Since, secant is positive in 4th quadrant, we will only consider the positive value. i.e.

[tex]sec(\theta)=\frac{\sqrt{85} }{6}[/tex]

c) Since,

[tex]cos(\theta)=\frac{1}{sec(\theta)}[/tex]

Using the value of secant, we get:

[tex]cos(\theta)=\frac{1}{\frac{\sqrt{85} }{6} } =\frac{6\sqrt{85} }{85}[/tex]

d) According to Pythagorean identity:

[tex]sin^{2}(\theta)=1-cos^{2}(\theta)\\sin(\theta)=\pm \sqrt{1-cos^{2}(\theta)}[/tex]

Since, sine is negative in fourth quadrant, we will consider the negative value. Using the value of cosine, we get:

[tex]sin(\theta)=-\sqrt{1-(\frac{6\sqrt{85} }{85})^{2}}=-\frac{7\sqrt{85}}{85}[/tex]

e) Since,

[tex]cosec(\theta)=\frac{1}{sin(\theta)}[/tex]

Using the value of sine, we get:

[tex]cosec(\theta)=\frac{1}{-\frac{7\sqrt{85} }{85}}=-\frac{\sqrt{85}}{7}[/tex]

7^2 x 7^8/ 7^4 = 7^a/ 7^4 =7^b

Answers

Answer:

The value of a is 10 and the value of b is 6

Step-by-step explanation:

* Lets revise how to solve the problem

- Remember in the number with exponent

-  a^n × a^m = a^(n + m)

- a^n ÷ a^m = a^(n - m)

Lets solve the problem

∵ [tex]\frac{7^{2}.7x^{8}}{7x^{4}}[/tex]

- Lets use the rule above

∵ [tex]7^{2}.7^{8}=7^{2+8}=7^{10}[/tex]

∴ [tex]\frac{7^{2}.7^{8}}{x^{4}}=\frac{7^{10}}{7^{4}}[/tex]

∵ [tex]\frac{7^{10}}{7^{4}}=\frac{7^{a}}{7^{4}}[/tex]

∴ a = 10

∵ [tex]\frac{7^{10}}{7^{4}}=7^{10-4}=7^{6}[/tex]

∵ [tex]7^{6}=7^{b}[/tex]

∴ b = 6

* The value of a is 10 and the value of b is 6

Answer: 10 and 6 for the next one its 2, 3, and 8

Step-by-step explanation: i hope this helps :)

There is $7 entrance fee and it costs $1.25 for every minute your on a trampoline.Your total was $43.25, write an equation to determine the number of minutes you were on the trampoline

Answers

Answer:

  7 +1.25m = 43.25

Step-by-step explanation:

Let m represent the number of minutes on the trampoline. Then the charge (in dollars) for minutes you're on it is 1.25m. The entrance fee is added to that to give the total charges:

  7 + 1.25m = 43.25

Find the value for sin θ given the point (-3, 4) on the terminal side. Leave your answer in fraction form.

Answers

Answer:

  sin θ = 4/5

Step-by-step explanation:

The Pythagorean theorem tells you the distance (h) from the origin to the terminal point:

  h² = (-3)² +(4)² = 25

  h = 5 . . . . . . . . take the square root

The mnemonic SOH CAH TOA reminds you ...

  Sin = Opposite/Hypotenuse

For angles other than 1st-quadrant angles, it can sometimes be difficult to identify the relevant sides of the relevant triangle. If the angle were a 1st-quadrant angle, it would be clear that the side opposite the angle is the y-coordinate of the point on the terminal side. That remains the case for all angles. The hypotenuse is always the positive distance from the origin to the terminal point.

So, you have

  sin θ = opposite/hypotenuse = 4/5

In the figure below, segments AC and AB are tangent to circle E. If AC is equal to 10 cm, then segment AB is equal to 20 cm.

Answers

If tangents are drawn from the same spot, then they will be equal.

Since tangents AB and AC both start from point A, and go to the same circle, then:

AC = AB.

That means the statement:

'If AC is equal to 10cm, then segment AB is equal to 20cm'

is false

(if a AC  = 10cm, then AB would =  20cm as well)

_____________________________________

Answer:

False

Answer:

The given statement is false.

Step-by-step explanation:

We have been given a statement. We are supposed to determine whether our given statement is true or not.

Segments AC and AB are tangent to circle E. If AC is equal to 10 cm, then segment AB is equal to 20 cm.

We know that tangents of circle from same external point are congruent.

We can see that both tangents AB and AC are drawn from same point A, so AB will be equal to AC.

Since [tex]AB=20[/tex] and [tex]AC=10[/tex], therefore, our given statement is false.

I've experiencing for a while but this is Finding missing angles. Please help me!!​

Answers

Answer:

x=15

Step-by-step explanation:

165+x=180

x=180-165

x=15

Answer:

15° = x

Step-by-step explanation:

By the Supplementary Angles Theorem, you add m<x by 165, and set that equal to 180°, or π. Of course you have to do the inverse of addition in order to get this, so deduct 165 from 180 to end up with 15.

sin4xcos2x =

1/2sin6x + 1/2sin2x
1/2sin6x - 1/2sin2x
1/2cos2x + 1/2cos6x
1/2cos2x - 1/2cos6x

Answers

Answer:

  1/2sin(6x) + 1/2sin(2x)

Step-by-step explanation:

You can look up the formulas for the product identities for sine and cosine, or you can guess and check using a graphing calculator. I did the calculator solution first (see the first attachment), then looked up the identities so I can tell you what they are (see the second attachment).

__

These identities are based on the sum and difference angle identities:

  sin(α+β) +sin(α-β) = (sin(α)cos(β) +sin(β)cos(α)) + (sin(α)cos(β) -sin(β)cos(α))

  = 2sin(α)cos(β)

Dividing by 2 gives the identity of interest in this problem:

  sin(4x)cos(2x) = (1/2)(sin(4x +2x) +sin(4x -2x))

  sin(4x)cos(2x) = (1/2)(sin(6x) +sin(2x))

Answer:   1/2sin(6x) + 1/2sin(2x)

Step-by-step explanation:

took the test and got a 100

I need help with these other quadratic story problems.

Answers

Answer:

1. 2.12 seconds

2. 10 feet

Step-by-step explanation:

1. "Pekka tosses a ball out of a window that is 40 feet in the air.  Its initial velocity is 15 feet per second.  The path of the ball is represented by:

h = -16t² + 15t + 40

How long does it take for the ball to hit the ground (in seconds) rounded to the nearest hundredth?"

When the ball hits the ground, its height is 0:

0 = -16t² + 15t + 40

0 = 16t² − 15t − 40

Solve with quadratic formula:

t = [ -b ± √(b² − 4ac) ] / 2a

t = [ 15 ± √(225 + 2560) ] / 32

t ≈ 2.12 or -1.18

t must be positive, so t = 2.12 seconds.

2. "Tricia bounces a ball in front of her feet.  The path of the ball from the time it hits the ground until it lands on the floor is represented by:

f(x) = -2(x − 3)² + 10

Assuming that Tricia's feet are located at the origin (0, 0), what is the maximum height of the ball (in feet)?"

The function is a parabola.  The vertex of this parabola is at (3, 10).  So the maximum height is 10 feet.

please help!

Which rigid transformation(s) can map FGH onto VWX?


reflection, then rotation

reflection, then translation

rotation, then translation

rotation, then dilation

Answers

Answer:

reflection, then translationrotation, then translation

Step-by-step explanation:

When the points designating each triangle are considered in order, they are seen to be in clockwise order. Segment FG is oriented to the west, while corresponding segment VW is oriented to the east. This means the figure could have been rotated 180° or reflected across a point. Either way, some translation may be necessary to align the figures as shown.

Possible transformations include ...

reflection across a point, then translation (depending on the location of the point)rotation 180° about a point, then translation (depending on the location of the point)

___

If one of the triangles is reflected across the midpoint of GW, it will coincide with the other triangle. Hence only one reflection across a chosen point is required. Of course, reflection across a point is identical to rotation 180° about that point. For any other point of reflection or rotation, translation will be involved.

Answer:

rotation, then translation

Step-by-step explanation:

rotation, then translation

Lisa owns a "Random Candy" vending machine, which is a machine that picks a candy out of an assortment in a random fashion. Lisa controls the probability of picking each candy. The machine has too much of the candy "Coffee Toffee," so Lisa wants to program it so that the probability of getting "Coffee Toffee" twice in a row is greater than \dfrac{4}{3} 3 4 ​ start fraction, 4, divided by, 3, end fraction times the probability of getting a different candy in one try. Write an inequality that models the situation. Use ppp to represent the probability of getting "Coffee Toffee" in one try.

Answers

Answer:

  p² > 4/3(1 -p)

Step-by-step explanation:

Assuming candy selections are independent from one to the next, the probability of getting Coffee Toffee twice in a row will be p². The probability of getting some other selection than Coffee Toffee will be 1-p.

Lisa wants ...

  p² > (4/3)(1 -p)

_____

This has solution p > 2/3.

Answer:

Step-by-step explanation:

Based on sample results, a 90% confidence interval for the mean servings of fruit per day consumed by grade school children is (0.21, 2.45). What is the margin of error?

Answers

Answer: 1.12

Step-by-step explanation:

The confidence interval for the mean [tex]\mu[/tex] and margin of error E is given by :-

[tex](\mu-E,\ \mu+E)[/tex]                                             --------------(1)

The given confidence interval : (0.21, 2.45)              -------------(2)

From (1) and (2), we  have

[tex]\mu-E=0.21-------(3)\\\\\mu+E=2.45--------(4)[/tex]

Subtract equation (3) from (4), we get

[tex]2E=2.45-0.21\\\\\Rightarrow\ 2E=2.24\\\\\Rightarrow\ E=\dfrac{2.24}{2}=1.12[/tex]

Hence, the margin of error is 1.12 .

Final answer:

The margin of error can be calculated as half the width of the confidence interval.

Explanation:

The margin of error can be calculated by finding half the width of the confidence interval. In this case, the confidence interval is (0.21, 2.45), so the width is 2.45 - 0.21 = 2.24. Therefore, the margin of error is half of this width, which is 2.24/2 =

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What is the chromatic number for the map?

Answers

Answer:

The smallest number of colors needed to color the vertices of so that no two adjacent vertices share the same color.

the smallest value of possible to obtain a k-coloring.

Final answer:

The chromatic number for a map is the minimum number of colors needed to color the regions of the map such that no two adjacent regions have the same color.

Explanation:

The chromatic number for a map is the minimum number of colors needed to color the regions of the map such that no two adjacent regions have the same color.

The chromatic number can vary depending on the specific map and its regions. To determine the chromatic number, one approach is to use a graph-theoretic representation of the map, where each region corresponds to a vertex and adjacent regions are connected by edges. Then, a graph coloring algorithm can be used to find the minimum number of colors needed to properly color the regions of the map.

7. A 2600-pound truck is stopped at a red light on a hill with an incline of 25°. Ignoring the force of friction, what force is required to keep the truck from rolling down the hill? (Show work)

Answers

Answer:

about 75 percent of its force

Step-by-step explanation:

Please help with the attached question. Thanks

Answers

Answer:

Choice A) [tex]F(x) = 3\sqrt{x + 1}[/tex].

Step-by-step explanation:

What are the changes that would bring [tex]G(x)[/tex] to [tex]F(x)[/tex]?

Translate [tex]G(x)[/tex] to the left by [tex]1[/tex] unit, andStretch [tex]G(x)[/tex] vertically (by a factor greater than [tex]1[/tex].)

[tex]G(x) = \sqrt{x}[/tex]. The choices of [tex]F(x)[/tex] listed here are related to [tex]G(x)[/tex]:

Choice A) [tex]F(x) = 3\;G(x+1)[/tex];Choice B) [tex]F(x) = 3\;G(x-1)[/tex];Choice C) [tex]F(x) = -3\;G(x+1)[/tex];Choice D) [tex]F(x) = -3\;G(x-1)[/tex].

The expression in the braces (for example [tex]x[/tex] as in [tex]G(x)[/tex]) is the independent variable.

To shift a function on a cartesian plane to the left by [tex]a[/tex] units, add [tex]a[/tex] to its independent variable. Think about how [tex](x-a)[/tex], which is to the left of [tex]x[/tex], will yield the same function value.

Conversely, to shift a function on a cartesian plane to the right by [tex]a[/tex] units, subtract [tex]a[/tex] from its independent variable.

For example, [tex]G(x+1)[/tex] is [tex]1[/tex] unit to the left of [tex]G(x)[/tex]. Conversely, [tex]G(x-1)[/tex] is [tex]1[/tex] unit to the right of [tex]G(x)[/tex]. The new function is to the left of [tex]G(x)[/tex]. Meaning that [tex]F(x)[/tex] should should add [tex]1[/tex] to (rather than subtract [tex]1[/tex] from) the independent variable of [tex]G(x)[/tex]. That rules out choice B) and D).

Multiplying a function by a number that is greater than one will stretch its graph vertically. Multiplying a function by a number that is between zero and one will compress its graph vertically.Multiplying a function by a number that is between [tex]-1[/tex] and zero will flip its graph about the [tex]x[/tex]-axis. Doing so will also compress the graph vertically.Multiplying a function by a number that is less than [tex]-1[/tex] will flip its graph about the [tex]x[/tex]-axis. Doing so will also stretch the graph vertically.

The graph of [tex]G(x)[/tex] is stretched vertically. However, similarly to the graph of this graph [tex]G(x)[/tex], the graph of [tex]F(x)[/tex] increases as [tex]x[/tex] increases. In other words, the graph of [tex]G(x)[/tex] isn't flipped about the [tex]x[/tex]-axis. [tex]G(x)[/tex] should have been multiplied by a number that is greater than one. That rules out choice C) and D).

Overall, only choice A) meets the requirements.

Since the plot in the question also came with a couple of gridlines, see if the points [tex](x, y)[/tex]'s that are on the graph of [tex]F(x)[/tex] fit into the expression [tex]y = F(x) = 3\sqrt{x - 1}[/tex].

Answer:

f(x) =3 sqrt(x+1)

Step-by-step explanation:

We notice two things about the graph, it has a shift to the left and is steeper

First the shift to the left

f(x) = g(x + C)  

C > 0 moves it left

C < 0 moves it right

g(x) is 0 at x=0   f(x) is 0 at  x=-1

We are moving it 1 unit to the left

This means our "c" is 1

f(x) = sqrt( x+1)

Now we need to deal with the graph getting steeper

f(x) = Cg(x)  

C > 1 stretches it in the y-direction

0 < C < 1 compresses it

Since it is getting taller, "c" must be greater than 1

Remember the - sign means it is a reflection across the x axis, which we do not have

f(x) =3 sqrt(x+1)

Find the measures of supplementary angles 1 and 2, if:
m∠1:m∠2=5:4

Answers

Answer:

<1 = 100

<2 = 80

Step-by-step explanation:

Angle 1 and angle 2 are supplementary

Supplementary angles add to 180 degrees

<1 + <2 = 180

The angles are in a ratio of 5 to 4

Multiply by x to get the measure of each angle

<1 = 5x  <2 = 4x

5x+4x = 180

Combine like terms

9x = 180

Divide by 9

9x/9 =180/9

x =20

<1 = 5x = 5*20 = 100

<2 = 4x = 4*20 = 80

Answer:

he's right

Step-by-step explanation:

or she i dont discriminate

I need to mix brown paint using red, blue, and, yellow in the ratio of 2:1:3. If I need to mix 18 fluid ounces of paint, hwo much yellow paint will I need?

Answers

hihi! so the ratio 2:1:3 can be rewritten as 2/6 (red) 1/6 (blue) and 3/6 (yellow).

this is because you have 2 floz of red, 1 floz of blue, and 3 floz of yellow, which adds up to 6 floz of paint total in your ratio.

since you have 18 fl. oz. of paint, you multiply the ratio 3/6 by 18 to get 9 fl. oz. of yellow paint.

hope this helps!

There would be of 9 ounces yellow paint needed.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The total quantity of fluid of paint= 18 ounces,

And the ratio of red, blue and yellow paint = 2:1:3

Let the multiplying factor in ratio is x,

So, total paint will be 6x,

According to given condition,

6x = 18 ounces,

x = 3 ounces

Since yellow paint is 3x,

So 3x = 9 ounces

9 ounces yellow paint is required,

To know more about Ratio on:

https://brainly.com/question/23724140

#SPJ5

What is the quadratic function that is created with roots -10 and -4 and a vertex at (-7, -9)?

Answers

Answer:

In vertex form it's [tex]y=(x+7)^2-9[/tex]

In standard form it's [tex]y=x^2+14x+40[/tex]

Step-by-step explanation:

We can use the vertex form to solve for a in

[tex]y=a(x-h)^2+k[/tex]

"a" is the number out front that dictates the steepness, or lack thereof, in a parabola.  That means that we need h and k (which we have in the vertex) and we need x and y (which we have in the form of one of the zeros).  Filling in using a vertex of (-7, -9) and a coordinate point (-7, 0):

[tex]0=a(-4-(-7))^2-9[/tex] simplifies a bit to

[tex]0=a(-4+7)^2-9[/tex] simplifies a bit more to

[tex]0=a(3)^2-9[/tex] and

[tex]0=a(9)-9[/tex] so

[tex]0=9a-9[/tex],

[tex]9=9a[/tex] and finally,

a = 1

Phew!  So there is the a value.  Now we can simply fill in the formula completely, using the vertex as our guide:

[tex]y=(x+7)^2-9[/tex]

In standard ofrm that is

[tex]y=x^2+14x+40[/tex]

We can check ourselves for accuracy by factoring that standard polynomial using whatever method of factoring you like for quadratics and get that the roots are in fact x = -10, -4

The only reason we needed the zeros is to use one of them as the x and y to solve for a.  

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