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3 years ago

Answer this for 15 points and Brainliest

Mathematics

1 answer:

Alenkasestr [34]3 years ago

4 0

Answer:

y=3x+18

Step-by-step explanation:

Since slope-intercept form is y=mx+b, we first need to find the slope.

m=y2-y1/x2-x1

m=0-(-9)/-6-(-9)

m=9/3=3

Next we need to find b, or the y-intercept

to do that we plug in numbers to what we already have.

y=3x+b

0=-18+b

b=18

Now we put it all together.

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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

charle [14.2K]

ANSWER

See below

EXPLANATION

Given

$f(x) = \frac{ {x}- 9 }{x + 5}$

and

$g(x) = \frac{ - 5x - 9}{x - 1}$

$(f \circ \: g)(x)= \frac{ (\frac{ - 5x - 9}{x - 1})- 9 }{(\frac{ - 5x - 9}{x - 1} )+ 5}$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9(x - 1)}{x - 1}}{\frac{ - 5x - 9 + 5(x - 1)}{x - 1} }$

Expand:

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9x + 9}{x - 1}}{\frac{ - 5x - 9 + 5x - 5}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9x + 9 - 9}{x - 1}}{\frac{ - 5x + 5x - 5 - 9}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 14x }{x - 1}}{\frac{ -14}{x - 1} }$

Since the denominators are the same, they will cancel out,

$(f \circ \: g)(x)= \frac{ - 14x}{ - 14} = x$

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3 years ago

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yawa3891 [41]

Check the picture below.

5 is 1*5, or 5 times greater than 1.

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3 years ago

Read 2 more answers

A restaurant has 9 3/5 pounds of onions. The restaurant's manager ordered 4 4/5 more pounds of onions. The onions then were mixe

Alina [70]

Answer:

7 1/5 pounds in each basket

Step-by-step explanation:

Original pounds of onion = 9 3/5

New pounds of onion = 4 4/5

The onions then were mixed and kept in 2 baskets with each basket having equal pounds on onions

Total onions = Original pounds of onion + New pounds of onion

= 9 3/5 + 4 4/5

= 48/5 + 24/5

= 48+24/5

= 72 / 5 pounds

How many pounds of onions does each basket contain?

Pounds in each basket = Total pounds /2 basket

= 72/5 ÷ 2

= 72/5 × 1/2

= 72 / 10

= 7 2/10

= 7 1/5 pounds in each basket

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