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3 years ago

If f(x) = -6x + 5 and g(x) = x+1, what is (fºg)(3)?

Mathematics

1 answer:

WARRIOR [948]3 years ago

5 0

Answer:

(f o g)(3) = -19

Step-by-step explanation:

(f o g)(3) is f(g(3)). You need to first find g(3).

g(x) = x + 1

g(3) = 3 + 1

g(3) = 4

Next, you need to find f(g(3)). Since, g(3) = 4, you are finding f(4).

f(x) = -6x + 5

f(4) = -6(4) + 5

f(4) = -24 + 5

f(4) = -19

(f o g)(3) = -19

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What is the approximate area of the shaded portion of the diagram? (Use 3.14 as an estimate for pi.)

Nadusha1986 [10]

Answer:

218

Step-by-step explanation:

first find the area of the circle-

$A=\pi r^{2} \\A=\pi 10^{2} \\A=100\pi \\A=314$

to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).

$a^{2} +b^{2} =c^{2} \\a^{2} +16^{2} =20^{2} \\a^{2} +256=400\\a^{2} =144\\a=12$

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6 0

3 years ago

Cameron's uncle is 3 times old as he is. 4 years ago, he was 4 times older. How old is Cameron?

erma4kov [3.2K]

Let Cameron be x years old now.

Now:

Cameron = x

Uncle =3x

4 years ago:

Cameron = x - 4

Uncle = 3x - 4

4 years ago, Uncle is 4 times older:

3x - 4 = 4(x - 4)

Find x:

3x - 4 = 4(x - 4)

3x - 4 = 4x - 16

4x - 3x = 16 - 4

x = 12

Find the age:

Cameron = x = 12

Answer: Cameron is 12 years old now.

3 0

3 years ago

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Vladimir79 [104]

2 and three are supplementary angles .

#4.

The answer is opposite angles .

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3 years ago

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Answer:

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