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maks197457 [2]
3 years ago
10

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)). (1 point) −7 −3 10 33

Mathematics
1 answer:
qwelly [4]3 years ago
6 0
Since the expressions for f(x) and g(x) are already given, f(g(2)) means to substitute the value of 2 to the expression of g(x), then further substituting the obtained value of g(2) into the expression of f(x). This is shown below:

f(x) = x + 8
g(x) = x^2 - 6x - 7

f(g(x) = x^2 - 6x - 7 + 8 
f(g(2)) = 2^2 - 6(2) + 1
f(g(2)) = 4 - 12 + 1
f(g(2)) = -7

Therefore, the correct answer is -7.
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Find the Area and Perimeter!
olga_2 [115]

Area of a triangle is 1/2 x base x height.

base = 12

Height = x+6

Area = 1/2 * 12 * x+6

Area = 1/2 * 12x * 72

Area = 6x + 36



Perimeter is the sum of the 3 sides:

x-7 + 12 + 2x+5

3x -2 + 12

3x+10


The last choice is the correct answer.



7 0
3 years ago
A Ferries wheel had a radius of 58 feet. What is the distance a passenger will travel one time around the Ferries wheel?
topjm [15]

Answer:

364.42 ft.

Step-by-step explanation:

For step 1 we should multiply pi by r and 2.

π x r x 2

For step 2 we should multiply pi by 58 and 2.

π x 58 x 2

In result, we should end up with 364.424748 ft. or for short 364.42 ft.

I hope I helped you... Have a great and nice day! :D

5 0
3 years ago
Y
aev [14]

Answer:

See attachment.

a)  y = -x + 2

b)  (2,1)

Step-by-step explanation:

Explained in the attachment.

7 0
3 years ago
Find the factors of function f, and use them to complete this statement.
Crank

Answer:

f(x)= 2x^4 - x^3=24 -18x^2 + 9x= 45      45-24=21

Step-by-step explanation:

just multipkye that

4 0
3 years ago
Read 2 more answers
Find the volume of the rectangle 4 2/3cm,9 1/8cm, 2cm
amm1812

Answer:

\large\boxed{V=85\dfrac{1}{6}\ cm^3}

Step-by-step explanation:

The formula of a volume of a rectangular prism:

V=lwh

l - length

w - width

h - height

We have

l=4\dfrac{2}{3}\ cm=\dfrac{4\cdot3+2}{3}\ cm=\dfrac{14}{3}\ cm\\\\w=9\dfrac{1}{8}\ cm=\dfrac{9\cdot8+1}{8}\ cm=\dfrac{73}{8}\ cm\\\\h=2\ cm

Substitute:

V=\dfrac{14}{3}\cdot\dfrac{73}{8}\cdot2=\dfrac{7}{3}\cdot\dfrac{73}{2}\cdot1=\dfrac{511}{6}=85\dfrac{1}{6}\ cm^3

6 0
3 years ago
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