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SOVA2 [1]
3 years ago
15

How do you solve 6(2/3x-3)>3

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0

Answer:

14>3

Step-by-step explanation:

you would need to turn the 3 in the parenthesis into a fraction which would result in 9/3. 2/3 - 9/3= -7/3      

Multiply the 7/3 by 6 and by what I have always been taught, you only multiply the top of the fraction. This would leave it to be 42/3 which would be known as 14.

So therefore the answer would be 14>3

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2 years ago
What is the surface area of the right rectangular prism?
scoundrel [369]
<h3>Answer:  Choice A) 252 in^2</h3>

=======================================================

Explanation:

Refer to the diagram below.

The red rectangle is 6 inches by 12 inches, so its area is 6*12 = 72 square inches. There are two of these rectangles (one on top, one on the bottom). That accounts for 2*72 = 144 square inches so far.

The purple rectangles are 3 inches by 12 inches, yielding an area of 3*12 = 36 square inches each. That's another 2*36 = 72 square inches when we account for the front and back purple rectangles.

The green rectangles are 6 inches by 3 inches. Each green rectangle is 6*3 = 18 square inches. Having two of them means we'll add on 2*18 = 36 square inches.

Overall, the entire surface area is the sum of all the areas we calculated: 144+72+36 = 252 square inches, which is choice A

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

Alternative Method:

  • L = 12 = length
  • W = 6 = width
  • H = 3 = height

SA = surface area of the rectangular prism

SA = 2*(L*W + L*H + W*H)

SA = 2*(12*6 + 12*3 + 6*3)

SA = 2*(72 + 36 + 18)

SA = 2*(126)

SA = 252 in^2

So we get the same answer either way

3 0
3 years ago
What’s the inverse of <br> f(x) = -2 + 2/3x
saveliy_v [14]

So the steps to find the inverse are:

  1. Change f(x) to y
  2. Switch the positions of x and y
  3. Solve for y
  4. Change y to f^-1(x)

f(x)=-2+ \frac{2}{3}x\\\\y=-2+ \frac{2}{3}x\\\\x=-2+ \frac{2}{3}y

Now let's solve for y as such:

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<u>Your inverse is f^-1(x) = 3/2x + 3</u>

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