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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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Write two equivalent expressions to represent the area of the rectangle below.

Goshia [24]

Answer:

$A=(n-3)2\ units^2$

$A=(2n-6)\ units^2$

Step-by-step explanation:

we know that

The area of rectangle is equal to

$A=LW$

where

L is the length of rectangle

W is the width of rectangle

In this problem we have

$L=(n-3)\ units\\W=2\ units$

substitute

$A=(n-3)2\ units^2$

Apply distributive property

$A=2(n)-2(3)$

$A=(2n-6)\ units^2$

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3 years ago

A pendant is formed using a cylinder and cone. Once assembled, as shown below, the pendant is painted. How many square millimete

solmaris [256]

Surface area of cylinder is given by area of circle + area of the rectangle that curved around the cylinder

Area of the base of the cylinder = $\pi r^{2} = 8^{2} \pi =64 \pi$
Area of the cylinder 'wall' = width × length = $12$ × $2r \pi$ = $12$ × $16 \pi$ = $192 \pi$

Note that the wall of the cylinder is in the shape of a rectangle. The width of the rectangle is the height of the cylinder. The length of the rectangle is the circumference of the circle base.

Surface area of cone is given by $\pirl$ where $l$ is the slanted height of the cone

SA of cone = $\pi (8)(10)=80 \pi$

Hence total painted surface area is $80 \pi +192 \pi +64 \pi =336 \pi$

3 0

3 years ago

Read 2 more answers

A popular brand of running

s2008m [1.1K]

$119 - $68 = $51

51/68 x 100 = .75

.75 x 100 = 75%

So, there was a 75% percent increase in the price.

7 0

3 years ago

Read 2 more answers