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Cloud [144]
3 years ago
12

Find the inverse of the function.

Mathematics
1 answer:
nikklg [1K]3 years ago
3 0
The equation that is given in this item can be mathematically expressed as,
    f(x) = (x/7)^(1/3) - 9

The expression f(x) can be replaced with y such that the equation can also be written as,
    y = (x/7)^(1/3) - 9

The first thing that needs to be done to get the inverse of the function is to interchange the positions of x and y. In this equation, that becomes,
   x = (y/7)^(1/3) - 9

Then, solve for the value of y in terms of x.
 Transpose the constant to the other side of the equation.
 x + 9 = (y/7)^(1/3)

Raise the whole equation by 3 in order to eliminate the radical.
  (x+9)³ = (y/7)
Multiply the equation by 7 to eliminate the fraction.
  (x+9)³(7) = y

Thus, the inverse of the function is equal to
<em>  f⁻¹(x) = 7(x+9)³

</em>
<em />The answer is letter B.<em>
</em>
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Four square pieces of corkboard are lined up to make a rectangle. The area of the entire corkboard is
Pavel [41]

9514 1404 393

Answer:

  a) attached

  b) 100 square inches, 1/4 of the total

  c) square root of area

  d) multiply by 4

Step-by-step explanation:

a) A diagram is attached

__

b) If the total area consists of 4 squares of the same size, then the area of one square will be 1/4 of the total area. 1/4 of 400 square inches is 100 square inches, the area of one square.

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c) The area of a square is the square of the side length. You find the side length by finding the square root of the area. √(100 in²) = 10 in, the side length of each square.

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d) The rectangle is 4 squares laid side by side, so its length is 4 times the side length of one square: 4×10 in = 40 in.

4 0
3 years ago
A vcr and tv were bought for 8000 each. The shopkeeper made a loss of 4 per cent on vcr and 8 per cent prophit on the tv. Find t
aleksley [76]

Answer:

  2% gain

Step-by-step explanation:

We assume the shopkeeper bought the appliances at the indicated prices, and that gain is computed on the basis of that cost price.

Since the base cost is the same for each appliance, the percentages can be added directly to find the percentage gain on 8000. However, the shopkeeper's total outlay was 16000, not 8000, so the final gain percentage is half of that total.

  gain percent = (-4% + 8%)/2 = 2%

_____

If you want to see the actual numbers:

  Loss on VCR = 4% × 8000 = 320.

  Gain on TV = 8% × 8000 = 640.

Total gain on 16000 is -320 +640 = 320. As a percentage, that is ...

  320/16000 × 100% = 2%

7 0
3 years ago
Joe wrote an inequality
pychu [463]

Answer:Please see answer in explanation column

Step-by-step explanation:

A

The sum of a number and 7 is not more than 10

Given answer: x + 7 < 10  , This is false

Reason :Not more than 10 means at most 10, less than or equal to 10 , " or " not greater than 10 "and therefore the correct inequality  is written as

x + 7  ≤ 10

B

The product of a number and 4 is at least 20

Given answer: 4X > 20  ---- False

Reason :At least 20  means at no less than 20 " or " greater than or equal to 20  therefore the correct inequality  is written as

4X ≥ 20

C

The difference between a 15 and a number is at most 12

Given answer: 15-x>12----False

Reason :At most 12  means  " no more than 12 , "  " less than or equal to 12 , " or " not greater than 12"therefore the correct inequality  is written as

15-x  ≤  12

D

The quotient of a number and 8 is greater than or equal to

Given answer 8x <3 --False

Reason : It clearly stated greater than or equal to 3. Therefore the correct inequality is  8x  ≥ 3

6 0
3 years ago
Daisy is trying to find the equation
podryga [215]
The y-intercept is (0,12), or just 12, hope this helps
5 0
3 years ago
Please answer correctly
Vedmedyk [2.9K]

Answer:

A

Step-by-step explanation:

Month on x-axis and Log(mice) on y

5 0
3 years ago
Read 2 more answers
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