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2 years ago

The graph of g(x) = f(x + 2) + 3 is the graph of y = f(x) shifted

Mathematics

1 answer:

vovangra [49]2 years ago

8 0

Answer:

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?

The vertex of the graph of g is 1.5 units to the left of

the vertex of the graph of f.

The y-intercept of the graph of g is 1.5 units above the

y-intercept of the graph of f.

The graph of g is a reflection of the graph of f across

the y-axis.

The graph of g is a reflection of the graph of f across

the x-axis.

Step-by-step explanation:

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Find the area of the shape shown below.<br> 12<br> units

Lelechka [254]

Answer:

Step-by-step explanation:

8 0

3 years ago

Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

$v=\frac{1}{3}\pi r^2 h$

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

<em>We select the positiv value.</em>

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

We can now calculate the maximum volume,

$V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99$

4 0

3 years ago

What is the length of line RS? I don't understand how to get it.

romanna [79]

The way to get the length of RS is actually very simple. You see how there is a number 17 in the line? You take that and it should mean every area where a line should be is 17. So, R is 17, the 2nd line is 17, M is 17, the 4th line is 17, and S is 17. So you then multiply 17 times 5 and get 85.

-Mabel <3

(Sorry if this is incorrect! <3)

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3 years ago

Can someone help me with these questions?

Maslowich

4.334, just use your calculator

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2 years ago

What is the range of the relation shown in the graph?

emmainna [20.7K]

Answer:

-2

Step-by-step explanation:

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3 years ago