How does the graph of f(x) - 3(x)|x+2|+4 relate to its parent function?
A. The parent function has been translated up.
B. The parent function has been translated to the left.
C. The parent function has been compressed.
D. The parent function has been stretched.

Answer:

y - 4 = 3(x - 1)

Step-by-step explanation:

It looks like you have slope 3  and a point (1, 4)

so  it should be  y - 4 = 3(x - 1)

which is your first choice:  y minus 4 = 3 (x minus 1)

The point-slope form of a line is  y - 4 = 3(x-1) which is correct option(A).

A linear equation is defined as an equation in which the highest power of the variable is always one.

GIven equation,

Slope of line (m) = 3

Slope form of a line is y-y₁ = m(x-x₁)

Line passes through point (1, 4)

⇒ y - 4 = 3(x-1)

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Answer: Part A is the graph with 4 dots for 0, 2 dots for 2, 10 dots for 4, 9 dots for 6, 2 for 7(in between 6 and 8) 1 dot for 8, and 1 dot for 12.

Part B: Answer: Most are clumped together and smaller than 8, with one data point far away from the others.

Part C: Answer; 12 hours seems to much higher than the other data values.

Step-by-step explanation: Hope that helped:) I just did it and checked and it’s correct. Have a good day!

Answer:

C

Step-by-step explanation:

i got it right

Answer:

C

Step-by-step explanation:

Edge 2021 assignment:)

Answer:

6.3 yards high

Step-by-step explanation:

The three given points are (0,0), (1,6.86), and (2,3). Use these values in f(x) = ax2 + bx + c.

For (0,0), 0 = 0 + 0 + c.

So, c = 0.

For (1,6.86), 6.86 = a + b + c. Since c = 0:

a + b = 6.86(equation 1)

For (2,3), 3 = 4a + 2b + c. Since c = 0:

4a + 2b = 3(equation 2)

Multiply equation 1 by 2, and subtract the result from equation 2:

2a + 2b  = 13.72

4a + 2b - (2a + 2b)  = 3 - 13.72

2a  = -10.72

a  = - 5.36

Plug this value into equation 1:

-5.36 + b  = 6.86

b  = 12.22

So the function is f(x) = -5.36x2 + 12.22x.

When the ball hits the ground, the height is 0, or f(x) = 0:

Use the function to determine the height of the ball, f(x), after x = 1.5 seconds.

f(x) = -5.36x2 + 12.22x

= -5.36(1.5)2 + 12.22(1.5)

= 6.27

0 = -5.36x2 + 12.22x

0 ≈ x − 2.27(Divide both sides by -5.36x.)

x ≈ 2.27 ≈ 2.3

So, the ball will be about 6.3 yards high after 1.5 seconds.

Answer:

W = 72

Step by step explanation:

White = W

Red = R

W + R = 90

Write an equation

W = 5R - 6

Substitute

5R - 6 = 90

Add 6 to both sides of the equation

5R = 90

Simplify

90 ÷ 5 = 18

R = 18

90 - 18 = W

W = 72

Hope this was useful to you!

Final answer:

By setting up an algebraic equation, we determine that there are 74 white marbles in the bag when the total number of marbles is 90 and the white marbles count is 5 times the number of red marbles minus 6.

Explanation:

Calculating the Number of Marbles

To figure out how many white marbles are in the bag, we can set up a simple algebraic equation. Let's define the number of red marbles as x. According to the problem, the number of white marbles is 5 times the number of red marbles minus 6. We can represent this as 5x - 6. Since we know the total number of marbles is 90, we can write the equation as:

x + (5x - 6) = 90.

Combining like terms results in:

6x - 6 = 90.

Adding 6 to both sides gives us:

6x = 96.

Dividing both sides by 6, we get:

x = 16.

So, there are 16 red marbles. Now, to find the number of white marbles, we plug this back into the equation for white marbles:

5(16) - 6 = 80 - 6 = 74.

There are thus 74 white marbles in the bag.

Answer:

2

Step-by-step explanation:

2 for $1

6 for $15

15/6 = 2.5

1/2 = 0.5

Baseball = 1 for $0.5

Basketball = 1 for $2.5

2.5 - 0.5 = 2

The area of a rectangle is represented by the multiplication of its length and width. For a rectangle with dimensions 'x + 5' and 'x + 4', the area is given by the standard form polynomial ' [tex]x^2 + 9x + 20[/tex]'.

The area of a rectangle is calculated by multiplying the length by the width of the rectangle. Here, the length and width of the rectangle are given by the expressions 'x + 5' and 'x + 4'. Therefore, to find the area, you multiply those two expressions together:

(x + 5) * (x + 4)

When you multiply these two expressions, you get:
[tex]x\times x + 4\times x + 5\times x + 5\times 4 = x^2 + 9x + 20[/tex]

This is the polynomial in standard form that represents the area of the rectangle,

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Answer: D) (1.2,-4.7)

Step-by-step explanation:

plug in the end corrdinates like it says in the equation that the problem gives you.

The x and y-coordinates of the point C will be equal to (1.2, -4.7).

Using one or even more integers, or coordinates, a coordinate system in geometry establishes a unique way to locate points or other geometrical objects on a manifold, such as Euclidean space.

The order of the values is important, and they can sometimes be distinguished by their place in an arranged tuple or by a letter, such as "the x-coordinate."

As per the given information in the question,

Coordinates are the location of a point in an (x,y) plot.

The given coordinates are:

A = (7,-2)

B = (-8,-9)

m:n = 5:8

Use the formula given below,

(x, y) = 1/(m + n)(nx₁ + mx₂, ny₁ + ny₂)

(x, y) = 1/(5 + 8)[5(-8) + 8(7), 5(-9) + 8(-2)]

(x, y) = (1.2, -4.7)

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Answer:

Systems of equations equals (-1.5, 4)

Step-by-step explanation:

1. isolate the y in both equations

2. a. 4x+3y=6

3y=-4x+6

y=-4/3x+2

    b.

2y=4x+14

y=2x+7

3. Solve the system of equations

-4/3x+2=2x+7

2=3 1/3x+7

-5=3 1/3x

-1.5=x

4. Solve for y by plugging x into one equation

y=2x+7

y=2(-1.5) + 7

y= -3+7

y=4

5. Systems of equations equals (-1.5, 4)

6. If this was helpful for you, it would mean a lot if you could click the braniest button on my answer so I could move up in the ranks. Good luck!

Answer:

your answer would be x= -3/2

The congruent relationship between the triangles are;

10. ΔABC ≅ ΔDBC, SSS congruence rule

11. ΔABD ≅ ΔDBC, ASA congruence rule

12. ΔABC ≅ ΔDCB, SSS congruence rule

13. ΔABC ≅ ΔEDC, SAS congruence rule

14. ΔABC ≅ ΔDCB,  SAS congruence rule

15. ΔABC ≅ ΔDCB, SAS congruence rule

16. ΔABC ≅ ΔDBC, ASA congruence rule

17. ΔABC ≅ ΔEDC, LH congruence rule

18. ΔBAC ≅ ΔCDB, SSS, congruence rule

Congruent triangles have the same size and shape.

10. [tex]\overline{BC}[/tex] is congruent to [tex]\overline{BC}[/tex] by the reflexive property, [tex]\overline{AC}[/tex] is congruent to [tex]\overline{CD}[/tex] by the definition of midpoint of [tex]\overline{AD}[/tex], therefore;

ΔABC is congruent to ΔDBC by the Side Side Side, SSS, congruence rule

11. ∠ABC is congruent to ∠DBC (definition of bisected angle)

ΔABD is congruent to ΔDBC by the Angle Side Angle, ASA congruence rule

12. The reflexive property indicates that line segment [tex]\overline{BC}[/tex] is congruent to [tex]\overline{BC}[/tex], therefore; ΔABC is congruent to ΔDCB by the Side Side Side, SSS congruence rule

13. The definition of bisected line segments indicates; [tex]\overline{AC}[/tex] is congruent to [tex]\overline{CE}[/tex] and [tex]\overline{BC}[/tex] is congruent to [tex]\overline{CD}[/tex]

∠ECD is congruent to ∠BCA (Vertical angles theorem)

Therefore, ΔABC is congruent to ΔEDC by the Side Angle Side SAS congruence rule

14. [tex]\overline{BC}[/tex] is congruent to [tex]\overline{BC}[/tex] reflexive property, therefore;

ΔABC is congruent to ΔDCB by the Side Angle Side, SAS, congruence rule

15. The alternate interior angles and a facing side of the quadrilateral ABCD are congruent, the location of the angles and the sides indicates that ABCD is a parallelogram

[tex]\overline{BD}[/tex] is congruent to [tex]\overline{AC}[/tex] (Properties of the facing sides of a parallelogram)

ΔABC is congruent to ΔDCB by the Side Angle Side, SAS, congruence rule

16. [tex]\overline{CB}[/tex] is congruent to [tex]\overline{CB}[/tex] (reflexive property)

∠ACB is congruent to ∠DCB and ∠CBA is congruent to ∠CBD (Definition of bisected angles ∠DCA and ∠DBA)

ΔABC is congruent to ΔDBC by the Angle Side Angle, ASA congruence rule

17. [tex]\overline{AC}[/tex] is congruent to [tex]\overline{CE}[/tex], definition of bisected line segment [tex]\overline{AE}[/tex]

ΔABC is congruent to ΔEDC by the Leg Hypotenuse, LH, congruence rule

18. Quadrilateral ABCD is a parallelogram (Definition of a parallelogram)

[tex]\overline{AC}[/tex] is congruent to [tex]\overline{BD}[/tex] and [tex]\overline{AB}[/tex] is congruent to [tex]\overline{CD}[/tex] (Properties of a parallelogram)

[tex]\overline{BC}[/tex] is congruent to [tex]\overline{BC}[/tex] (Reflexive property)

ΔBAC is congruent to ΔCDB by the Side Side Side, SSS, congruence rule

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Answer:£368.94

Step-by-step explanation:

258*1.43= 368.94

Answer:

C

Step-by-step explanation:

Because area = L x w

8 x 10 = 80

C

Answer:

A=80

Step-by-step explanation:

You find the area of rectangle using Length times width. 8 times 10 =80

1) The measure needed is the C. Base area,  2) the scenario represents the equation D. 10.5= (1/3)B (4.5)

and 3) the tent will cover C. 7 square feet of the back porch.

Use the appropriate formulas to solve it step-by-step.

The formula for the volume of a cone is:

[tex]V = \frac{1}{3} \pi r^2 h[/tex]

We need to find the base area of the cone (which is a circle) to determine the area covered by the tent on the back porch. The base area (A) of the cone is:

[tex]A = \pi r^2[/tex]

To calculate this, we must first determine the radius (r) of the cone. Let's rearrange the volume formula to solve for the radius (r):

[tex]10.5 = \frac{1}{3} \pi r^2 4.5[/tex]

Simplifying this equation, we get:

[tex]10.5 = \frac{1}{3} \pi r^2 4.5[/tex]

Multiply both sides by 3 to get rid of the fraction:

[tex]31.5 = \pi r^2 4.5[/tex]

Divide both sides by 4.5:

[tex]\frac{31.5}{4.5} = \pi r^2[/tex]

[tex]7 = \pi r^2[/tex]

Divide both sides by π:

[tex]r^2 = \frac{7}{\pi}[/tex]

Taking the square root of both sides, we find the radius (r):

[tex]r = \sqrt{\frac{7}{\pi}}[/tex]

Now we can calculate the base area (A) of the cone:

[tex]A = \pi r^2[/tex]

Substitute r^2 back into the equation:

[tex]A = \pi \left( \frac{7}{\pi} \right) = 7 \text{ square feet}[/tex]

Answer:

1. ∠ O

2. ∠ QOP

3. ∠ POQ

Step-by-step explanation:

Answer:  y = -5x - 22

Step-by-step explanation:

Use the Point-Slope formula: y - y₁ = m(x - x₁)

y - (-2) = -5(x - (-4))

y + 2  = -5(x + 4)

y + 2 = -5x - 20

y       = -5x - 22

Answer:

slope =0

Step-by-step explanation:

its on the point (4,0) its not moving up and down therefor there's no slope

Answer:

0

Step-by-step explanation:

Hello!

Slope can be calculated using the formula [tex]\frac{Rise}{Run}[/tex]

The two points I'll pick are (0,4) and (1,4).

The change in y (4 and 4)  is 0.

The change in x (0 and 1) is 1.

Put it into the slope format and you get a slope of [tex]\frac01[/tex] or [tex]0[/tex].

The scale factor for the measurements on the map would be 11 x 10 ⁻⁵.

Scale factor is used to compare the size of two objects. Mathematically, we can write -

{K} = S{O1}/S{O2}

Given is that the distance between home and school is 4.5 miles. On a map it shows the distance to be 9 cm.

The distance between home and school : 4.5 miles.

On the map the distance between home and school is 9 cm.

We can write the scale factor as -

{K} = (9 x 5.5 x 10 ⁻⁵)/4.5

{K} = 11 x 10 ⁻⁵

Therefore, the scale factor for the measurements on the map would be 11 x 10 ⁻⁵.

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Answer:

3.5 Gallons Per Minute or 3.5m

Step-by-step explanation:

Since there is 10.5 Gallons in 3 minutes, do

10.5/3 = 3.5

(please mark brainliest if this helps!)

Final answer:

The flow rate from the faucet is 3.5 gallons per minute. To determine the amount of water that comes out in any number of minutes, we multiply the flow rate by the number of minutes desired.

Explanation:

Given that 10.5 gallons of water are dispensed in three minutes, we can calculate the rate of flow, which will allow us to determine how many gallons of water would come out of the faucet in any other number of minutes.

We start by finding the flow rate per minute by simply dividing the volume of water dispensed by the number of minutes it took. So, the flow rate is 10.5 gallons / 3 minutes = 3.5 gallons per minute. Now, to find out how many gallons flow in any number of minutes, we multiply the flow rate (3.5 gallons per minute) by the number of minutes.

For example, if we want to know how much water comes out in 5 minutes, we calculate it as follows: Flow rate x Time = 3.5 gallons/minute x 5 minutes = 17.5 gallons. Therefore, 17.5 gallons of water would come out of the faucet in 5 minutes.

Answer:

[tex]P_{m}=(6,10.5,9)[/tex]

Step-by-step explanation:

The mid point can be found with the formula

[tex]P_{m}=(\frac{x_{1}+x_{2} }{2},\frac{y_{1} +y_{2} }{2} ,\frac{z_{1}+z_{2} }{2} )[/tex]

The given coordinates are [tex]P(5,10,8)[/tex] and [tex]Q(7,11,10)[/tex].

Replacing coordinates in the formula, we have

[tex]P_{m}=(\frac{5+7}{2},\frac{10+11 }{2} ,\frac{8+10}{2} )=(\frac{12}{2},\frac{21 }{2} ,\frac{18}{2} )\\P_{m}=(6,10.5,9)[/tex]

Therefore, the mid point of the segment PQ is [tex]P_{m}=(6,10.5,9)[/tex]

Answer:

^its C if ur too lazy to read the equation like me

Step-by-step explanation:

The Average of rate is -1.

Step-by-step explanation:

Everytime it goes up by one the y goes down by 1 so it would be -1.

The function has an average rate of change of -1. It is denoted by R.

The single rate applies to property in several locations and is a weighted average of the separate rates that apply to each place.

The function has an average rate of change of -1.

[tex]\rm R = \frac{4-5}{1-0} \\\\ R=-1[/tex]

Hence, the function has an average rate of change of -1.

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Answer:

No

Step-by-step explanation:

Step 1:  Determine if linear

It is not linear because it has the x variable to the second power which makes the line bend and turns into a parabola.  A linear line would have the x to the first power or just x.

Answer: No

Graph Below

Answer:

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

you take 18-12 wich gives you 6, then you do 18+6 wich equals 24. hope this helps. good luck in the future :)

Answer:

A = 12 units^2

Step-by-step explanation:

The area of a trapezoid is

A = 1/2 (b1+b2)* h where b1 and b2 are the bases (which are parallel)

b1 = AT = 4 units

b2 = SR = 2 units

The heights is along the x axis which is 4 units

A = 1/2 ( 2+4) *4

A = 1/2 (6)*4

A = 12 units^2

Answer:

[tex]a. \ P(X=5)=0.2417\\\\b. \ P(X\geq 6)=0.3056\\\\c. \ P(X<3)=0.2255[/tex]

Step-by-step explanation:

a. This is a binomial probability  distribution problem expressed as:

[tex]P(X=x)={n\choose x}p^x(1-p)^{n-x}[/tex]

Where:

Given n=10, p=0.47 the probability of exactly 5 is calculated as:

[tex]P(X=5)={n\choose x}p^x(1-p)^{n-x}\\\\={10\choose 5}0.47^5(1-0.47)^5\\\\=0.2417[/tex]

Hence, the probability that exactly 5 adults have very little confidence is 0.2417

b. Given n=10, p=0.47,

-We substitute our values in formula and  the probability of at least 6 is calculated as:

[tex]P(X\geq 6)={n\choose x}p^x(1-p)^{n-x}\\\\\\\ \ \ \ \ \ ={10\choose 6}0.47^6(0.53)^4+{10\choose 7}0.47^7(0.53)^3+{10\choose 8}0.47^8(0.53)^2+{10\choose 9}0.47^9(0.53)^1+{10\choose 10}0.47^{10}(0.53)^0\\\\\\=0.1786+0.0905+0.0301+0.0059+0.0005\\\\\\=0.3056[/tex]

Hence, the probability of at least 6 adults is 0.3056

c. The probability of of less that four adults is calculated as:

[tex]P(X<4)={n\choose x}p^x(1-p)^{n-x}\\\\\\\ \ \ \ \ \ ={10\choose 0}0.47^0(0.53)^{10}+{10\choose 1}0.47^1(0.53)^9+{10\choose 2}0.47^2(0.53)^8+{10\choose 3}0.47^3(0.53)^7\\\\\\=0.0017+0.0155+0.0619+0.1464\\\\\\=0.2255[/tex]

Hence, the probability that less that 4 adults have confidence in the newspapers is 0.2255

The correct probabilities for the given scenarios are:

To solve this problem, we can use the binomial probability formula:

[tex]\[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \][/tex]

(a) For exactly five adults:

[tex]\[ P(X = 5) = \binom{10}{5} (0.47)^5 (0.53)^5 \][/tex]

[tex]\[ P(X = 5) \approx 0.205 \][/tex]

(b) For at least six adults, we sum the probabilities of having six, seven, eight, nine, and ten adults with very little confidence:

[tex]\[ P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) \][/tex]

[tex]\[ P(X \geq 6) \approx 0.254 \][/tex]

(c) For less than four adults, we sum the probabilities of having zero, one, two, and three adults with very little confidence:

[tex]\[ P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) \][/tex]

[tex]\[ P(X < 4) \approx 0.347 \][/tex]

Answer:

[tex]f(x) = - 0.5 {x}^{2} \to \: f(x) = {x}^{2} \to \: f(x) = 14 {x}^{2} [/tex]

Step-by-step explanation:

The given quadratic functions are:

[tex]f(x) = - 0.5 {x}^{2} [/tex]

[tex]f(x) = 14 {x}^{2} [/tex]

[tex]f(x) = {x}^{2} [/tex]

We want to order these functions, from the widest to the narrowest.

How wide the graph will open depends on the absolute value of the coefficient of the function.

The smaller the absolute value of the coefficient, the wider the graph.

Since

[tex] | - 0.5| \: < \: |1| \: < \: |4| [/tex]

Therefore from the widest graph to the narrowest graph, we have:

[tex]f(x) = - 0.5 {x}^{2} \to \: f(x) = {x}^{2} \to \: f(x) = 14 {x}^{2} [/tex]

Answer:

$13.299 million

Step-by-step explanation:

We need the model from Part A to answer Part B to three decimal places,

The point marked by the blue arrow is clearly an outlier. I ignored it in "eyeballing" the best-fit line.

My line has four points above and five points below the line,

You probably had to use a statistical calculator to get the equation for the line of best fit.

Assume it was

y = 38.9016 - 0.7951x

You would use that equation to predict y when x = 32.2.

y = 38.9016 - 0.7951 × 32.2 = 39.1588 - 25.6022 = 13.299

If a movie brought in $32.2 million on opening night in Tallahassee, it should bring in $13.299 million in Gainesville.

The  expected revenue be for Gainesville is $13.299 million.

here we assume that

y = 38.9016 - 0.7951x

Here that equation to predict y

when x = 32.2.

So,

y = 38.9016 - 0.7951 × 32.2

= 39.1588 - 25.6022

= 13.299

hence, The  expected revenue be for Gainesville is $13.299 million.

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