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3 years ago

13

Could someone please show me the steps to get this answer?

1 answer:

Stells [14]3 years ago

3 0

Start with f(x) = (x-9)/(x+5) and g(x) = (-5x-9)/(x-1). To obtain f(g(x)), throw out each appearance of x in f(x) = (x-9)/(x+5) and replace it with <span>g(x) = (-5x-9)/(x-1):

f(g(x)) = [</span>(-5x-9)/(x-1) - 9] / [<span>(-5x-9)/(x-1) + 5]

Now simplify the algebra. If your result equals just x, then you have proven that f and g are inverses of one another. Need help with the fractions? If so, do what you can and share it here; I'd then be glad to give you feedback on your work.</span>

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Is 1 5/6 a rational number or a iraarational

gizmo_the_mogwai [7]

Answer: rational number

Step-by-step explanation:

Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written

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3 years ago

I need help with this question

4vir4ik [10]

Answer:

y = 3

Step-by-step explanation:

y/9 = 2/6

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CROSS MULTIPLYING WE GET

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3 years ago

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2 years ago

Jimmy's backyard is rectangle that is 18 5/6 yards long and 10 2/5 yards wide Jim buy sod in pieces that are 1 1/3 yard long and

g100num [7]

Answer:

111 pieces of soda

Step-by-step explanation:

step 1

Find the area of the rectangular backyard

The area of the rectangular backyard is equal to

$A=LW$

where

$L=18\frac{5}{6}\ yd=\frac{18*6+5}{6}=\frac{113}{6}\ yd$

$W=10\frac{2}{5}\ yd=\frac{10*5+2}{5}=\frac{52}{5}\ yd$

substitute

$A=(\frac{113}{6})(\frac{52}{5})$

$A=\frac{5,876}{30}\ yd^2$

step 2

Find the area of one piece of sod

The area of the rectangular piece of sod is

$A=LW$

where

$L=1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd$

$W=1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd$

substitute

$A=(\frac{4}{3})^2\\\\A=\frac{16}{9}\ yd^2$

step 3

Find the pieces of sod needed

To find out how many whole pieces of sod will Jim need to buy to cover his backyard, divide the area of the backyard by the area of one piece of soda

so

$\frac{5,876}{30} : \frac{16}{9}=\frac{52,884}{480}=110.175$

Round up

111 pieces of soda

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Marysya12 [62]

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Step-by-step explanation:

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