Suppose f(x) = x2 and g(x) = Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is vertically compressed by a factor of 2.
B. The graph of g(x) is horizontally compressed by a factor of 2.
C. The graph of g(x) is horizontally stretched by a factor of 2.
D. The graph of g(x) is shifted 2 units to the right.

Answer:

(a) is true

Step-by-step explanation:

Given

See attachment for box plots

Required

Which of the options is true?

Option A compares the IQR of both plots.

IQR is calculated using:

[tex]IQR = Q_3 - Q_1[/tex]

Where

[tex]Q_1 \to[/tex] Lower quartile

[tex]Q_2 \to[/tex] Upper quartile

From the attached plots, we have:

Republican

[tex]Q_1 = 170.5[/tex]

[tex]Q_3 = 356[/tex]

So:

[tex]IQR = 356 - 170.5[/tex]

[tex]IQR = 185.5[/tex]

Democratic

[tex]Q_1 = 181[/tex]

[tex]Q_3 = 367.5[/tex]

So:

[tex]IQR = 367.5 - 181[/tex]

[tex]IQR = 186.5[/tex]

We have:

[tex]IQR = 185.5[/tex] --- Republican

[tex]IQR = 186.5[/tex] --- Democratic

Hence, (a) is true

Answer:

To graph the equation, you need to find the slope and y-intercept.

y = mx + b

⬑[slope-intercept formula; m is the slope, and b is the y-intercept]

y = 4x + −1

⬑[given equation before being simplified]

y = 4x − 1

⬑[given equation]

║m = 4

║b = (0, −1)

Proof:

m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

x₁ = 0

x₂ = 1

y₁ = −1

y₂ = 3

m = [tex]\frac{3 - -1}{1 - 0}[/tex]

║m = 4

║b = (0, −1)

[the value for x₁ and y₁ equals the y-intercept: (0, −1)]

Graph:

Answer:

Sqrt 29

Step-by-step explanation:

Answer:

80-89

Hope this helps

Answer:

A

Step-by-step explanation:

Answer:

He has 1/6 of his book left to read.

Step-by-step explanation:

1/2 + 1/3 = 3/6 + 2/6 = 5/6

And 6/6 - 5/6 = 1/6

Answer: 6

Step-by-step explanation:

ab:pq = 5:35, and ac:pr=x:42

because ab:pq=5:35, then it becomes 1:7, as you can divide by 5 on both sides. Ac:pr=x:42, and 42=7x. When you solve that x=6.

hope that makes sense!

Answer:

Adrien Agreste!

Step-by-step explanation:

But she does have hidden feelings for Cat Noir. She even said that maybe she'd see him differently if Adrien didn't exist.

Answer:

18x^2+6

Step-by-step explanation:

2(9x^2+3)

multiply each term in parentheses by 2

2 x 9x^2+2 x 3

calculate product

18x^2+2 x 3

multiply numbers

18x^2+6

Answer:

4/5

Step-by-step explanation:

If we are given this value as a percent we can simply turn that percentage into a fraction. 80% would be 8/10 but since the question wants the fraction in simplest form we can achieve this by dividing both the numerator and denominator by 2. This would give us 4/5, which if we divide the numerator by the denominator we get 0.80 which is 80%. Therefore, the fraction of those surveyed  that had at least one brother or sister is 4/5

Answer:

where is the question

Step-by-step explanation:

send me the question on comment and i will solve it for you

Answer:

15

Step-by-step explanation:

Answer: f(x)

Step-by-step explanation:

The function g(x) has the greater maximum value. So, option (A) is the correct answer.

"The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation".

For the given situation,

The function f(x) is expressed as -3x^2 + 6x +4

The function g(x) is shown in the graph.

Plot the function f(x) in the graph to compare with g(x).

The graph for f(x) is shown below.

The function f(x) is the decreasing function, so it has only a minimal value.

The function g(x) is the increasing function, so it has a maximum value.

Hence we can conclude that the function g(x) has the greater maximum value. So, option (A) is the correct answer.

Learn more about the graphs of functions here

https://brainly.com/question/18422775

#SPJ2

Kendra's charge per car in the toy store is $1.8.

"Systems of equations, sometimes called simultaneous equations, are a group of relationships between various unknown variables that can be expressed in terms of algebraic expressions".

For the given situation,

Let the number of cars be 'x' and

The number of candy be 'y'

$5.00 for two cars and one piece of candy

$3.2 for one car and one piece of candy

System of the equation for the above case

Equation 1:

[tex]2x + y = 5[/tex]

Equation 2:

[tex]x + y = 3.2[/tex]

Subtract equation 2 from equation 1,

⇒ [tex]x=1.8[/tex]

On substituting x in equation 2, we get

⇒ [tex]y=3.2-1.8[/tex]

⇒ [tex]y=1.4[/tex]

Hence we can conclude that Kendra's charge per car is $1.8.

Learn more about the system of equations here

https://brainly.com/question/9351049

#SPJ2

Answer: [tex]9\pi \ in.^2[/tex]

Step-by-step explanation:

Given

The height of the cylinder is [tex]h=7\ in.[/tex]

The volume of the cylinder is [tex]V=63\pi \ in.^3[/tex]

The volume of the cylinder is the product of area and height

[tex]\Rightarrow V=\pi r^2h\\[/tex]

Insert the values

[tex]\Rightarrow 63\pi =A\times 7\\\\\Rightarrow A=\dfrac{63\pi}{7}\\\\\Rightarrow A=9\pi\ in.^2[/tex]

Thus, the area of the cross-section is [tex]9\pi \ in.^2[/tex]

Answer:

2000

Step-by-step explanation:

5 × [tex]10^{6}[/tex] ÷ 2.5 × 10³

5000000 ÷ 2500

2000

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

R (- 3, 3 ) → R' (3, 3 )

S (- 3, 8 ) → S' (3, 8 )

T (- 2, 7 ) → T' (2, 7 )

Answer:

The answer is -7, because -15-9=-7

Answer:

75%

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 75%

Step-by-step explanation:

Answer:

ka=2.8×10>4

Step-by-step explanation:

.$%_&<</___/%$

Answer:

The correct graph should have an x-intercept of 24, a y-intercept of 72, connected by a dashed line, with shading to the right

Step-by-step explanation:

y > -3x + 7

The correct graph should have an x-intercept of 7/3, a y-intercept of 7, connected by a dashed line, with shading to the right

Answer:

48 [fliers]

Step-by-step explanation:

Ann starts with 96 fliers. After she posts 1/4 of them, she will have 3/4*96=72 fliers left. She now has 72 remaining flyers. After posting 1/3 of these, she will have 2/3*72=48 fliers left.

Answer:

Sebastian

Step-by-step explanation:

Answer:

its either 11 or 2/3

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation:

[tex]y = x^2[/tex] is a quadradic function. It graphs as a parabola.  It has a vertex point of (0,0) and it opens upwards.

See the graph attached.

Hope this helps.

Answer:

75ft

Step-by-step explanation: angles

Answer:

a

Step-by-step explanation:

prime abc and d

hope this helps