3 years ago

4

Mathematics

1 answer:

Paraphin [41]3 years ago

3 0

Answer:

Step-by-step explanation:

Hope this helps have a good day

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tiny-mole [99]

Answer:

$f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=x\\\\g(f(x))=g\left(-\dfrac{5}{3}x-7\right)=x$

Step-by-step explanation:

Fill in the given expressions and simplify.

$f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=-\dfrac{5}{3}\left(-\dfrac{3x+21}{5}\right)-7\\\\=\left(-\dfrac{5}{3}\right)\left(-\dfrac{3x}{5}\right)-\left(\dfrac{5}{3}\right)\left(-\dfrac{21}{5}\right)-7\\\\=\dfrac{15x}{15}+\dfrac{5\cdot 21}{3\cdot 5}-7=x+7-7=x$

Going the other way, we have ...

$g(f(x))=\displaystyle -\frac{3\left(-\frac{5}{3}x-7\right)+21}{5}=-\frac{-5x-21+21}{5}=x$

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3 years ago

Please help practice Questions! will give thanks and star ratings (Question is attached)

Luda [366]

Point c because its the top and they rotated it to it's side

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4 years ago

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Black_prince [1.1K]

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3 years ago

PLEASE HELP ME!! Given PB = 6 in. and CB= 10 in. What is AC?

Phoenix [80]

Answer:

AC=10

Step-by-step explanation:

PC^2+6^2=10^2 (pyt theorem to find PC)

PC=8

PA=PB=6 (equal)

8^2+6^2=AC^2

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3 years ago

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prisoha [69]

All you have to do is set up an equal proportion $\frac{height}{length}$ or $\frac{x}{180 inches(15 feet)}$ = $\frac{85}{51}$ cross multiply to get 51x = 180*85 which is simplified to 51x = 15300 divide both sides by 51 to get x = 300 inches. Since the answer choices are in feet, divide 300/12 to get 25 feet

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3 years ago