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Vikentia [17]
3 years ago
11

A cube shaped box has a volume of 27 cubic inches bethany says each side of the cube measures 9 inches because 9 x 3 = 27. Is be

thany correct? Explain.
Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer:

  No

Step-by-step explanation:

The volume of the box is the product of its three dimensions, length, width, and height. The product of a number of "inches" and a "pure number" (3 has no units given) will not be "cubic inches."

_____

As it happens, the cube-shaped box with a volume of 27 cubic inches will have a height of 3 <em>inches</em> and a side area of 9 <em>square inches</em>. The edge length of the cube is 3 inches, not 9.

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  • f-¹(x) = 69/5y
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<h3>How to determine the inverse </h3>

The steps involved in determining the inverse of a function are;

  • Replace f(x) with y in the equation describing the function
  • Interchange x and y
  • Solve for y
  • Replace y by f-1(x)

If f(x) = 4/5x + 13

y = 4/5y + 13

y = 4 + 65 /5y

f^-1 = 4 + 65 /5y

f^-1(x)= 69/5y

If f(x)= 3/x+10 + 4

y = 3/y + 10 + 4

y = 3 + 4y + 10/(y + 10)

y = 13 + 4y/(y + 10)

f^-1(x) = 13 + 4y/(y + 10)

Thus, the inverse of the functions is 69/5y and 13 + 4y/(y + 10)

Learn more about functions here:

brainly.com/question/6561461

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