2 years ago

19. The area A of a circle is pi times the radius r squared. Translate into a equation

Mathematics

1 answer:

Helga [31]2 years ago

4 0

A= πr²
.… … … … ……… …

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For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions.

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Answer:

The value of $(f \circ g)(x)$ is 17-18x and $(g \circ f)(x)$ is -7-18x.

Step-by-step explanation:

It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.

It is required to find $(f \circ g)(x)$ and $(g \circ f)(x)$ .

To find $(f \circ g)(x)$ , substitute g(x) for x in f(x) and simplify the expression.

To find $(g \circ f)(x)$ , substitute f(x) for x in g(x) and simplify the expression.

Step 1 of 2

Substitute g(x) for x in f(x) and simplify the expression.

$\begin{aligned}&(f \circ g)(x)=f(5-6 x) \\&(f \circ g)(x)=3(5-6 x)+2 \\&(f \circ g)(x)=15-18 x+2 \\&(f \circ g)(x)=17-18 x\end{aligned}$

Step 2 of 2

Substitute f(x) for x in g(x) and simplify the expression.

$\begin{aligned}&(g \circ f)(x)=g(3 x+2) \\&(g \circ f)(x)=5-6(3 x+2) \\&(g \circ f)(x)=5-18 x-12 \\&(g \circ f)(x)=-7-18 x\end{aligned}$

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What is the first step needed to solve 3 over 4 multiplied by x minus 3 equals negative 18?

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Minus 3 from the 3 and the 18

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2 years ago

A park bench sits 778 feet from the base of the Gateway Arch in St. Louis, Missouri. The angle of elevation from the ground wher

otez555 [7]

Answer:

B. 630 ft

Step-by-step explanation:

<u>Given:</u>

Horizontal leg of the right triangle = 778 ft
Angle opposite to vertical length = 39°
Vertical leg = h

<u>Use tangent to solve for h:</u>

h/778 = tan 39°
h / 778 = 0.81
h = 0.81*778
h = 630.18

Correct choice is B

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svetlana [45]

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The answer is C because the constant ratio of y/x is 12/5

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