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2 years ago

Find f-1(x), if f(x) = 3x – 6. Justify your

1 answer:

4 0

Answer: 1/3 (x + 6)

Explanation: given f(x) = 3x - 6.
Let y = f(x) and so y = 3x - 6.
Trade places between x and y.
x = 3y - 6
Solve for y
x + 6 = 3y
y = x + 6/3
Now the new y is the inverse and so y = f-1(x)
f-1(x) = 1/3(x + 6)

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serg [7]

First find the amount of the difference between the original price and the current price:

$10,600 - $7,400 = $3,200

Divide the difference by the original price:

3200 / 7400 = 0.4324 = 43.2% increase.

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3 years ago

The graph represents a function related to a train's movement over time.

siniylev [52]

Answer:

Where is the question?

Step-by-step explanation:

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3 years ago

Find the least common denominator of 7 and X+4 x-4

Effectus [21]

(X+4)(X-4) is the LCD because you just have to look at the denominators and see what factors or values are not already part of your LCD.

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2 years ago

The mean of five numbers is 8. when another number is added the mean is 7. find the number added

sasho [114]

Answer:

$\large \boxed{\sf \ \ 2 \ \ }$

Step-by-step explanation:

Hello,

The mean of five numbers is 8 so we can write

$\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8$

When another number is added the mean is 7, let s note x the another number we can write

$\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7$

From the first equation we can say

$x_1+x_2+x_3+x_4+x_5=8*5=40$

So the second equation becomes

$\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\ \dfrac{40+x}{6}=7\\\\40 + x = 6*7=42\\\\ x = 42-40 = 2\\$

The solution is then 2

Hope this helps

4 0

3 years ago

Write in slope-intercept form an equation of the line that passes through the points (−1,12) and (1,2).

zzz [600]

Answer:

$y=-5x+7$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

the points (−1,12) and (1,2)

substitute

$m=\frac{2-12}{1+1}$

$m=\frac{-10}{2}$

$m=-5$

step 2

we know that

The equation of the line in slope intercept form is equl to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=-5$

$point\ (1,2)$

substitute in the linear equation and solve for b

$2=-5(1)+b$

$b=2+5=7$

therefore

$y=-5x+7$

4 0

3 years ago