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Masja [62]
3 years ago
14

Find the inverse of the function. f(x) = 7x + 8

Mathematics
1 answer:
lana66690 [7]3 years ago
4 0

Answer:

\frac{x-8}{7}

Step-by-step explanation:

A way to find the inverse function is to swap the x and y (f(x)) in the equation.

y = 7x + 8\\x = 7y + 8\\x-8 = 7y\\y = \frac{x-8}{7}

We can check that it is an inverse function by using a property of inverse functions:

f(g(x)) = x

If we plug in the f(x) function into the variable x of the inverse function, we should end up with x

y = \frac{(7x + 8) - 8}{7}\\y = \frac{7x}{7} \\y = x\\

It checks out!

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Answer:

976thousand

Step-by-step explanation:

6 0
3 years ago
PLZ HELP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST What is the slope-intercept form of the equation of the line that passes
grigory [225]

Answer:

A.

Step-by-step explanation:

We are given the two points (2,7) and (4,-1).  In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope <em>m.</em> Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4

Thus, the slope is -4.

Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

y-y_1=m(x-x_1)

Where (x1, y1) is a coordinate pair and m is the slope.

Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

y-(7)=-4(x-(2))\\y-7=-4x+8\\y=-4x+15

This is also slope-intercept form. The answer is A.

7 0
3 years ago
Read 2 more answers
Angeline bought s yards of satin fabric priced at $8.09 per yard, and c yards of cotton fabric priced at $3.79 per yard. Use an
max2010maxim [7]

Answer:

Angeline will spend $70.77

Step-by-step explanation:

y = 8.09(5) + 3.79(8)

y= 30.32 + 40.45

y = 70.77

3 0
4 years ago
Read 2 more answers
Which is a correct first step for solving this equation?<br> 2 + 7 = 2x + 5 - 43
Nina [5.8K]

Answer:

Combine the like terms

Step-by-step explanation:

2 + 7 = 2x + 5 - 43

The first step is to combine the like terms

9 = 2x - 38

5 0
3 years ago
Read 2 more answers
Ellen deposits $6,773 into an account earning 1% annually, After seven years what will Ellen's balance have grown to, including
lara31 [8.8K]
<span>If Ellen deposited 6 773 dollars in her account and did not withdraw any amount for 7 years.
Then she will earn this amount.
=> 1% interest rate per year
=> first year = 6 773 x .01 = 67.73
=> 6773 + 67.73 = 6840.73
=> Second year = 6840.76 * .01 = 68.4073
=> 68.4073 + 6840.76 = 6909.1673
=> Third year = 6909.1673 * .01 = 69.09
=> 6909.1673 + 69.09 = 6978.26
=>4th year = 6978.26 * .01 = 69.78
=> 6978.26 + 69.78 = 7004
=> 5th year = 7004 *.01 = 70.04
=> 7004 + 70.04 = 7074.04
=> 6th year = 7074.04 * .01 = 70.74
=> 70.74 + 7074.04 = 7144.78
=> 7th year = 7144.78 *.01 = 74.45
=> 7144.78 + 74.45 = 7216.23</span>



3 0
4 years ago
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