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3 years ago

If f(x) = 1/2x – 10, then f^-1(x) =

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

7 0

Answer:

f^-1 (x) = 2x+20

Step-by-step explanation:

f(x) = 1/2x – 10

To find the inverse, replace f(x) with y

y = 1/2 x -10

Exchange x and y

x = 1/2 y- 10

Solve for y

Add 10 to each side

x+10 = 1/2 y-10+10

x+10 = 1/2 y

Multiply by 2

2(x+10) = 1/2y *2

2x+20 = y

The inverse is

f^-1 (x) = 2x+20

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3 years ago

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Answer:

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3 years ago

0 A maker of a certain brand of low-fat cereal bars claims that the average saturated fat content is 0.5 gram. In a random sampl

balandron [24]

Answer:

The first step is to determine the average

$x= \frac{0,6+0,7+ 0,7+0,3+0,4+ 0,5+ 0,4 +0,2}{8}\\\ x= 0,475$

The exercise says it’s a normal distribution: (n=8)

$s^{2}= \frac{1}{n-1} ((0,6.x)^2+2(0,7-x)^2+(0.3-x)^2+2(0.4-x)^2+(0.5-x)^2+(0.2-x)^2)\\\ \frac{1}{7}*0,235 = 0,0336 \\\\ s= 0183$

According to the exercise, the mean is equal to 0,5 then the value of t of the distribution can be obtained

$t= \frac{x-u}{\frac{s}{\sqrt{n} }}\\\ t= \frac{0,475 - 0,5}{0,183}\\\ t= -0,3860$

The variable t has 7 grade to liberty, we calculate the p-value as:

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7 0

4 years ago

If A = 3x power 2+2y + 2 and B=6x power 2 - 8y + 1 then A+B and A-B

ollegr [7]

Answer:

see explanation

Step-by-step explanation:

Given A = 3x² + 2y + 2 and B = 6x² - 8y + 1 , then

A + B

= 3x² + 2y + 2 + 6x² - 8y + 1 ← collect like terms

= 9x² - 6y + 3

-------------------------------

A - B

= 3x² + 2y + 2 - (6x² - 8y + 1) ← distribute parenthesis by - 1

= 3x² + 2y + 2 - 6x² + 8y - 1 ← collect like terms

= - 3x² + 10y + 1

5 0

3 years ago

Plz help me with these math questions

Akimi4 [234]

For b on the first paper you will start with the distribution property and multiply both x and 2 by 3 because they are in the ()
now you have 3x+ 6=x-18
from here you can subtract x from both sides
2x+6=-18
next subtract 6 from both sides
2x=-24
divide both sides by 2...
x=-12
hope this helped

8 0

3 years ago