Find [tex]f^-1 ( x ) when f ( x ) = \frac{3x}{x-2}[/tex]

The answer would be B because the depth of the water would change depending upon the amount of rainfall, and this would create different depths which would be displayed throughout the scatter plot.

Answer:

Scatter plots quiz answers

A ( see picture below)

C The amount of money raised increases as the number of tickets sold increases.

B  the depth of the water in a pond and the amount of rainfall

Step-by-step explanation: Took the test got 100%

**This picture below is suppose to be for the first question **

2^8 = 256. I hope I satisfied your query!

A(,-2,4)=b= -2

B,(5,2)= b=17

False

Here is a counterexample:

Let x = 3. Then

  [tex]\sqrt{3x} = \sqrt{3\cdot 3} = \sqrt{9} = 3[/tex]

but [tex]x\sqrt{3} = 3 \cdot \sqrt{3} \ne 3[/tex]

So these expressions are not equivalent

The statement is false the expression √3x is equivalent to the expression x√3.

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

let us check by an example put the value of x = 3

[tex]\sqrt{3x} \ \ \ =\ \ \ x \sqrt3[/tex]

[tex]\sqrt{3\times 3}\ \ \ \ = \ \ \ \ 3 \sqrt3[/tex]

[tex]\sqrt9 \ \ \ \ \neq \ \ \ \ \ 3\sqrt3[/tex]

Here we can see that the two values are not equal.

Therefore the statement is false the expression √3x is equivalent to the expression x√3.

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under a rotation about the origin of 180°

a point (x, y ) → (- x, - y )

hence D is correct, both the x and y coordinates of the points on ΔA'B'C' have opposite signs from the corresponding points on ΔABC

Answer:

Its D

Step-by-step explanation:

Both coordinates  have opposite signs.

Answer:    [tex]g(f(a))=1.07a+50[/tex]

Step-by-step explanation:

The given functions are:   [tex]f(a)=1.07a[/tex] and [tex]g(b)= b+50[/tex]

[tex]g(f(a))[/tex] means [tex]f(a)[/tex] is the input of the function [tex]g[/tex].

Thus,  [tex]g(f(a))= g(1.07a)[/tex]

Now replacing  [tex]b[/tex] as [tex]1.07a[/tex]  into the given function of  [tex]g(b)[/tex], we will get......

[tex]g(1.07a)= 1.07a+50[/tex]

So, [tex]g(f(a))=1.07a+50[/tex]

The quadrilaterals are two congruent isosceles trap ezoids and a kite.

[tex](2+4i)^3=8+48i-96-64i=-88-16i[/tex]

note that (a + b)³ = a³ + 3a²b + 3ab² + b³

(2 + 4i)³ ← with a = 2 and b = 4i noting that i² = (√-1)² = -1

= 2³ + (3 × 4 × 4i ) + ( 3 × 2 × 16i² ) + ( 4i )³

= 8 + 48i  - 96 - 64i

= - 88 - 16i

The statements that are true are:

The following information should be considered;

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Answer: B & C

Step-by-step explanation:

on edge

3/5 = 6/10 = 6×(1/10)

The piece will be divided into 6 sections of 1/10 yard each.

Answer:

3/5 = 6/10 = 6×(1/10)

The piece will be divided into 6 sections of 1/10 yard each.

Step-by-step explanation:

Put the numbers where the corresponding variables are, then do the arithmetic.

... 20·3 + 25·4 -10 = 60 +100 -10 = 150

My answer was: y=0.5x+16.5

We need to find the triangle bounded by the y-axis the line [tex]f(x)=9-\frac{6}{7}x[/tex] and the line perpendicular to it that passes through the origin.

This triangle is illustrated in the First Figure bellow. The triangle has been dotted with black dots. So, let's identify each part of this graph:

        Therefore, this line is the blue one and is written as:

         [tex]f(x)=\frac{7}{6}x[/tex]

To find [tex]y(t)[/tex] we need to find the slope and y-intercept. So, taking two points:

[tex]P_{1}(15,150) \ and \ P_{2}(25,450) \\ \\m=\frac{450-150}{25-15}=30[/tex]

So:

[tex]Using \ P_{1}(15,150) \\\\y=30t+b\\\\150=30(15)+b \therefore b=-300 \\\\\boxed{y(t)=30t-300}[/tex]

The y-intercept is [tex]b=-300[/tex] and has been calculated above. This value represents the profit in thousands of dollars in 1980, that is, there is no any profit or there is a lost of $300.000.

The x-intercept can be found when y=0 (year 1980), that is:

[tex]y(t)=30t-300 \\\\0=30t-300 \therefore t=10[/tex]

This value shows that there is no any profit for the company at the year that represents t=10 (year 1990), because at this point the company starts earning money.

The slope of this function is [tex]m=30[/tex]

This value tells you that the profit increases $30.000 each year.

Hello,

Please, see the attached files.

Thanks.

Answer:

D) 306

Hope this helps :-)

The median is "B) 82". The word "median" means middle so you have to find the number in the middle. If you cross out the corner numbers and keep doing that until you have one number left, you get the answer.

Answer:

Step-by-step explanation:

A

it's x = 2 my dude it's really easy but glad u asked help

Answer:

1. D

2. A

Step-by-step explanation:

To determine the type of line, find the slope.

1. Find the difference in y values over the difference in x values. Calculate the slope using the formula:

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{6-2}{4-6}=\frac{4}{-2}=-2[/tex]

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{1--1}{1-5}=\frac{2}{-4}=\frac{-1}{2}[/tex]

These are reciprocals of each but not the negative or opposite signs of each other. This is none.

2. Find the difference in y values over the difference in x values. Calculate the slope using the formula:

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{6-0}{4-7}=\frac{6}{-3}=-2[/tex]

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{3-1}{5-1}=\frac{2}{4}=\frac{1}{2}[/tex]

These are reciprocals of each and the negative or opposite signs of each other. These are perpendicular.

The attachment shows the requested evaluations.

-a^n ≠ (-a)^n . . . . except when n is an odd integer

In the smaller triangle, the corresponding side is 3 times the base length. Since these triangles are similar, the same ratio holds.

... n = 3×5

... n = 15

Similar triangles have proportional corresponding sides and congruent corresponding angles.

For similar triangles we write

ΔGHI ~ ΔJKL

In these similarity expressions, the order of the vertices is meaningful.  Here it tells us that G and J are corresponding vertices, as are H and K, as well as I and L.   So ∠G≅∠J, ∠H≅∠K and ∠I≅∠L.

Answer: c

The answer is c (i did this question before)

hope this helps!

She ran the last 100 meters in 2:15 -1:25 = 0:50, so her average speed was

... (100 m)/(50 s) = 2.0 m/s

x = - 1

given [tex]\sqrt{(1-3x)}[/tex] = x + 3

square both sides

1 - 3x = (x + 3 )² ( expand right side using FOIL )

1 - 3x = x² + 6x + 9 ( subtract 1 - 3x from both sides )

0 = x² + 9x + 8

0 = ( x + 1)(x + 8)

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = -1

x + 8 = 0 ⇒ x = - 8

As a check

substitute these values into the equation and if both sides are equal then they are the solutions

x = - 1 : [tex]\sqrt{1+3 }[/tex] = 2 and - 1 + 3 = 2 ← true

x = - 8 : [tex]\sqrt{1+24}[/tex] = 5 and - 8 + 3 = -5 ← false

thus the only solution is x = - 1

Answer:

Step-by-step explanation:

Recall the definition for conditional probability.

We have P(A/D) = P(A and D)/P(D)

P(AD) = 2/17

P(A) = 8/17 and P(D) = 10/17

From the definition of conditional probability,

P(A/D) = P(AD)/P(D) = 2/17 divided by 10/17 = 1/5

But P(D/A) = P(AD)/P(A) = 2/17 divided by 8/17 = 1/4

Hence the two are not equal.

This is because there is a difference in the denominators

P(A|D) and P(D|A) from the table are not equal because the total number of A and D are not equal

From the table, we have the following parameters:

P(A|D) and P(D|A) are both conditional probabilities, and they are calculated using:

[tex]P(A|D) = \frac{n(A\ and\ D)}{n(D)}[/tex]

[tex]P(D|A) = \frac{n(A\ and\ D)}{n(A)}[/tex]

So, we have:

[tex]P(A|D) = \frac{2}{10}[/tex]

[tex]P(A|D) = 0.2[/tex]

[tex]P(D|A) = \frac{2}{8}[/tex]

[tex]P(D|A) = 0.25[/tex]

From the above computations, we have:

[tex]P(D|A) \ne P(A|D)[/tex]

This is so, because:

The total number of A and D are not equal

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Answer:

the unit cost per item

Step-by-step explanation:

The description of the graph tells you what the slope means. The slope is the (change in) y-value (cost) per (change in) x-value (item), thus is cost per item.

The slope of the line from the origin to a point is the average cost for that number of items. The slope of a tangent line at a point on the curve is the marginal cost for that number of items.

When the curve is linear and goes through the origin, the slope is the same everywhere and is the cost per item. (It is also the average cost and the marginal cost, where that is of interest.)

The slope of the graph, which represents the rate of change between the number of identical items purchased and the total cost, means the unit cost per item.

In the given context of a graph where the x-axis represents the number of identical items purchased and the y-axis represents the total cost in dollars, the slope of the graph represents the unit cost per item. This is because the slope of a line is a measure that describes the rate of change between the independent and dependent variables. It tells us how the dependent variable (in this case, total cost, represented by 'y') changes for every one-unit increase in the independent variable (in this case, number of items purchased, represented by 'x'), on average.  

Therefore, when you buy more items (increase in 'x'), the total cost ('y') increases. Hence, the rate at which 'y' is increasing per unit 'x' is actually the cost per item. This concept is fundamental in understanding how variations in quantity purchased impact the total cost, applicable in contexts from shopping to major business transactions.

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B! 650 x 36 +400 = 23,800!

Answer:

$23800.

Step-by-step explanation:

Monthly payment of loan of a car = $650

His loan is for 36 months

So, Total payment of 36 months = [tex]36 \times 650[/tex]

                                                       = [tex]23400[/tex]

He paid the down payment of amount $400

So, Total cost of the car = [tex]23400+400[/tex]

                                       = [tex]23800[/tex]

Hence the total cost of the car for Jared is $23800.

So, Option B is correct.

(c)

given the inequality | P | > a then the solution is always of the form

P < - a or P > a

for | P | > 3 , then

P < - 3 or P > 3

[tex]\frac{11}{24}[/tex]

combine the fractions of each type by adding them

[tex]\frac{3}{8}[/tex] + [tex]\frac{1}{12}[/tex]

Before we can add the fractions we require them to have the same denominator

To achieve this we require the lowest common multiple (LCM ) of 8 and 12

The LCM of 8 and 12 is 24

To change the denominators , multiply the numerator/ denominator by the appropriate value

[tex]\frac{3}{8}[/tex] = [tex]\frac{3(3)}{8(3)}[/tex] = [tex]\frac{9}{24}[/tex]

[tex]\frac{1}{12}[/tex] = [tex]\frac{1(2)}{12(2)}[/tex] = [tex]\frac{2}{24}[/tex]

Add the numerators leaving the denominator as it is

= [tex]\frac{9+2}{24}[/tex] = [tex]\frac{11}{24}[/tex]

Answer:111/24

Step-by-step explanation:

Kiran is correct. (I agree with Kiran.)

_____

Suppose the length and width are L and W. The Pythagorean theorem says the diagonal distance is ...

... d = √(L² +W²)

If the dimensions are doubled, the the diagonal distance becomes ...

... D = √((2L)² +(2W)²) = √(4(L² +W²)) = 2√(L² +W²)

... D = 2d

Answer:

Kiran's statement is correct.

Step-by-step explanation:

Kiran says that if the field were twice as long and twice as wide, then it would be twice the distance to the far corner.

Let the original length be = l

Let the original width be = w

Let the original diagonal be = d1

As per Pythagoras theorem,

[tex]d1^{2} =l^{2} +w^{2}[/tex]

When the dimensions are twice the original;

Length = 2l

Width = 2w

Diagonal = d2

We get the formula :

[tex]d2^{2} =2l^{2} +2w^{2}[/tex]

[tex]d2^{2} =2(l^{2} +w^{2})[/tex]

Or [tex]d2^{2} =2d1^{2}[/tex]

So, we can say that Kiran is correct.

You can eliminate parentheses and combine like terms.

(2x^2 +4x-9) +(3x^2-2x+10)

= 2x^2 +4x-9 +3x^2-2x+10 . . . . . nothing needs to be distributed, so we can simply drop the parentheses

= x^2(2 +3) +x(4 -2) +(-9 +10) . . . group like terms

= 5x^2 +2x +1