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3 years ago

If f(x) = -8x – 6 and g(x) = x+8, what is (fºg)(-7)? Enter the correct answer.

Mathematics

1 answer:

Semmy [17]3 years ago

6 0

9514 1404 393

Answer:

-14

Step-by-step explanation:

$(f\circ g)(x)=f(g(x))=f(x+8)=-8(x+8)-6\\\\(f\circ g)(x)=-8x-70\\\\(f\circ g)(-7)=-8(-7)-70=\boxed{-14}$

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Where did we get one?

77julia77 [94]

Answer:

The -1 came from factoring.

The equation is multiplied by 8 because 8 could be pulled from 16x-8.

16 can be divided by 8 2 times and 8 can only divided by 8 once.

so factoring it makes the equation 8(2x-1)

5 0

2 years ago

A rectangular room is 3 meters longer than it is wide, and its perimeter is 22 meters. Find the dimension of the room. The lengt

lyudmila [28]

Answer:

Width = 4 m

Length = 7 m

Step-by-step explanation:

given:

perimeter of a rectangle = 22m

L = 3 + W

perimeter = 2L + 2W

perimeter = 2 (3 + W) + 2W

22 = 6 + 2W + 2W

22 - 6 = 4W

W = 16 / 4

W = 4 m

L = 3 + W

L = 3 + 4

L = 7 m

check:

perimeter = 2L + 2W

22 = 2(7) + 2(4)

22 = 14 + 8

22 = 22 ---- OK

4 0

3 years ago

Write each equation in standard form. identify A,B,C.

aleksley [76]

Write in y=ax²+bx+c form
solve for y

given
$\frac{x+5}{3}=-2y+4$
solve for y

easy
minus 4 both sides
$\frac{x+5}{3}-4=-2y$
times -1/2 to both sides
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$y=\frac{x+5}{-6}+2$
$y=\frac{-x}{6}-\frac{6}{5}+2$
2=10/5
$y=\frac{-1}{6}x-\frac{6}{5}+\frac{10}{5}$
$y=\frac{-1}{6}x+\frac{4}{5}$
y=ax²+bx+c
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a=0
b= $\frac{-1}{6}$
c= $\frac{4}{5}$

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A centipede is crawling 6 inches per minute. how long will it take the centipede to travel 1 yard?

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svp [43]

Here's link to the answer:

tinyurl.com/wtjfavyw

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3 years ago

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