Find the inverse of f(x)=(x-1)^3

Answers

Answer 1

Answer: $f (x)=(x-1)^3 \n y =(x-1)^3 \n\n\sf Replace~ x ~with~ y ~and~ vice~ versa \n x = (y-1)^3 \n \sqrt[3]{x} =y-1 \n \n Solve~for~y\n\n \boxed {y= \sqrt[3]{x} +1}$

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Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.

Answers

m = (-1 - 4) /(2-3) = -5/-1 = 5

slope = 5

passing (3, 4)

y = mx + b

4 = 5(3) + b

4 = 15 + b

4 -15 = b

-11 = b or b = -11

answer:

equation

y = 5x - 11

Describe how to estimate a non-perfect square root to the hundredths place without using a calculator.

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Let's pretend it is the √5. We know √4 is 2 and √9 is 3. So, we know it is between 2 and 3. 5 is closer to 4 so we know it is less than 2.5. You keep using tis method until you find an answer.

Answer:

Sample Response: Approximate between two whole numbers by finding the perfect squares nearest to the target number. Identify which value the non-perfect square root is closest to, then use the iterative process to approximate further to the tenths place, and then further to the hundredths place.

Slope for -8,18 and -14,-3

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$(\stackrel{x_1}{-8}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{-14}~,~\stackrel{y_2}{-3}) \n\n\n \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{18}}}{\underset{\textit{\large run}} {\underset{x_2}{-14}-\underset{x_1}{(-8)}}} \implies \cfrac{ -21 }{-14 +8} \implies \cfrac{ -21 }{ -6 } \implies \cfrac{7}{2}$

Please answer this question now

Answers

Hi there! :)

Answer:

$\huge\boxed{V = 359.01 mm^(3) }$

Use the formula V = 1/3(bh) to solve for the volume of the cone where b = πr² where π ≈ 3.14:

Find the area of the base:

b = π(7)²

b = 49π

b = 153.86 mm²

Find the volume:

V = 1/3(153.86 · 7)

V = 1/3(1077.02)

V = 359.006 ≈ 359.01 mm³.

A shipping container is in the shape of a right rectangular prism with a length of 2 feet, a width of 14.5 feet, and a height of 14 feet. The container is completely filled with contents that weigh, on average, 0.9 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

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Answer:

1.8k AND 57k

Step-by-step explanation:

How do I Find the slope and Y intercept of each equation:1. Y= 2x +1
2. Y= 1/3x _3
3. Y=_2x + 1
4. _2x +5y=10
5. 4x _2y _5=0
6. Y= _4x _3
7. 3x_ 5y=20

Answers

$1.\n \n the \ slope \ intercept \ form \ is : \n \n y= mx +b \n \ny=2x+1 \n \n the \ slope \ (the multiplier \ of \ x \ represented \ by \ m ) \ is \ 2 \n \n and \ the \ y-intercept \ (the constantrepresented \ by \ b \ ) \ is \ 1$

$2.\n \n y= (1)/(3)x-3 \n \n the \ slope \ m = (1)/(3) \ \ and \ y = -3$

$3.\n \n y= -2x + 1\n \n the \ slope \ m = -2 \ \ and \ y = 1$

$4.\n \n-2x +5y=10\n \n5y=2x +10 \ \ /:5\n \ny = (2)/(5)x +2\n \n the \ slope \ m =( 2)/(5) \ \ and \ y = 2$

$5.\n \n 4x-2y-5=0\n \n-2y =-4x +5 \ \ /:(-2)\n \ny=2x-(5)/(2) \n \n the \ slope \ m = 2 \ \ and \ y = -(5)/( 2)$

$6.\n \n y=-4x-3 \n \n the \ slope \ m =-4 \ \ and \ y = -3$

$7.\n \n3x-5y=20\n \n-5y=-3x +20 \ \ / :(-5) \n \n y= (3)/(5)x - 4\n \n the \ slope \ m = (3)/(5) \ \ and \ y = -4$

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