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Lisa [10]
1 year ago
5

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph

of f(x) corresponds to which point on the graph of g(x)?
Mathematics
2 answers:
HACTEHA [7]1 year ago
8 0

Answer:4, -7

Step-by-step explanation:

tensa zangetsu [6.8K]1 year ago
7 0

Answer:

The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)

Step-by-step explanation:

Notice that when we start with the function f(x)=x^3, and then transform it into the function: g(x)=(x-4)^3-7

what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).

Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).

then the point (0, 0) after the translation becomes: (4, -7)

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The area of an extra large circular pizza from Gambino's Pizzeria is 484\pi \text{ cm}^2484π cm 2 484, pi, space, c, m, start su
oksano4ka [1.4K]

Answer:

The diameter of an extra large pizza from Gambino's Pizzeria is 44\ cm

Step-by-step explanation:

we know that

The area of a circle (circular pizza ) is equal to

A=\pi r^{2}

we have

A=484\pi\ cm^{2}

substitute in the formula and solve for the radius r

484\pi=\pi r^{2}

Simplify

484=r^{2}

r=22\ cm

Find the diameter

Remember that the diameter is two times the radius

D=2(22)=44\ cm

3 0
1 year ago
Read 2 more answers
Estimate the value of 50.75 x 0.18<br> Estimate the value of 196 divided by 0.499
DIA [1.3K]
<span>This question is a simple one. To answer this question, you need to understand the description in the question and determine to multiply or divide the number.

The first problem would be:
50.75 x 0.18= 9.135
</span>If you need to estimate, 50.75 is near 50; 0.18 is near 0.2 or 1/5 so it would be: 50/0.2= 10<span>

The second problem would be:
196 / 0.499: 392.785 
If you need to estimate, 0.499 is near 0.5 then 196/0.5 would be 392</span>
3 0
1 year ago
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A news organization previously stated that three of four people believed that the state of the economy was the country's most si
gizmo_the_mogwai [7]

Answer:

Option d)

H_{0}: p = 0.75\\H_A: p \neq 0.75

Step-by-step explanation:

We are given the following in the question:

Three of four people believed that the state of the economy was the country's most significant concern.

They would like to test the new data against this prior belief.

The null hypothesis will state that the three of four people believed that the state of the economy was the country's most significant concern.

The alternate hypothesis will state that this is not true. It states that people believed that the state of the economy was the country's most significant concern is not the same.

p =\dfrac{3}{4} = 0.75

We design the null and the alternate hypothesis  

H_{0}: p = 0.75\\H_A: p \neq 0.75

4 0
2 years ago
According to a Pew Research Center report from 2012, the average commute time to work in California is 27.5 minutes. To investig
FinnZ [79.3K]

Answer:

b. Identify the variable of interest and state whether it is categorical or quantitative.

Step-by-step explanation:

7 0
1 year ago
the daily profit in dollars of a specialty cake shop is described by the function P(x)=-3x^2+168x-1920. Where x is the number of
forsale [732]

Answer:

28

Step-by-step explanation:

We have the following function:

f(x)=-3x^{2} +168x-1920

where a=-3, b=168 and c=-1920

In order to calculate the maxium profit for the company, and how many cakes should be prepared in order to reach it, we have to calculate where the parabola's vertex is ubicated. To do so, we use the following formula:

Xv= \frac{-b}{2a}

Xv= \frac{-168}{2.(-3)}

Xv= \frac{-168}{2.(-3)}

Xv= 28

So 28 cakes should be prepared per day in order to maximize profit.

7 0
1 year ago
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