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3 years ago

The graphs below have the same shape. What is the equation of the blue graph?

Mathematics

2 answers:

madam [21]3 years ago

7 0

Answer: The answer is (C) $y=(x-2)^2.$

Step-by-step explanation: We are given two graphs of functions F(x) and G(x) having same shape. The graph of F(x) passes through the origin and is defined by

$F(x)=x^2.$

We are to find the equation of the graph of G(x).

Since the graph of G(x) is shifted right 2 units from the graph of F(x), so x will be replaced by (x - 2).

Therefore, the equation of the function G(x) becomes

$G(x)=(x-2)^2.$ .

Thus, (C) is the correct option.

11111nata11111 [884]3 years ago

5 0

g(x) = (x-2)^2

when we shift left or right we replace the x with our new x including the shift

(x-2) will shift it right units

(x+2) will shift it left 2 units

Choice C

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Mrs smith bought a.box of 10 cupcake she ate 30% of the cupcake how many did she eat

iogann1982 [59]

Answer:

3 Cupcakes

Step-by-step explanation:

First, multiply the percentage, 30, times the number of cupcakes, 10, ad you get 300. Then, divide that by 100, and oyu get your answer, 3 cupcakes.

*Or since this form of equation is in a simpler form of 10 cupcakes, just get rid of the percentage sign and the 0 in 30%. I hope this helps :)

4 0

3 years ago

Gerald has a punch bowl in the shape of a hemisphere as shown below.

zmey [24]

The closest to the maximum number of cups the punch bowl can hold is 30

<h3>How to determine the number of cups?</h3>

The given parameters are:

1 cup = 15 cubic inches

Diameter of bowl, d = 12 inches

The radius is the half of the diameter.

So, we have:

r = 6

The volume of the bowl is then calculated using:

$V = \frac{2}{3}\pi r^3$

This gives

$V = \frac{2}{3}\pi * 6^3$

Evaluate

V = 452.16

The maximum number of cups is then calculated using:

Cups = 452.16/15

Evaluate

Cups = 30.1444

Approximate

Cups = 30

Hence, the closest to the maximum number of cups the punch bowl can hold is 30