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sertanlavr [38]
3 years ago
9

Find the inverse of the following function.

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

Answer:

A

Step-by-step explanation:

f(x) =³√(x+12)

Let, y=³√(x+12)

Exchanging x and y,

x=³√(y+12)

Cubing on both sides,

x³=y+12

x³-12=y

f-¹(x) =x³-12

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There are 140 apples for every 91 cups of water how many apples are needed for every 1 cup of water
podryga [215]

Answer:

The number of apple for 1 cup of water is 1.5 apples

Step-by-step explanation:

Given as :

The number of cups of water = 91 cups

The number of apples for every 91 cups of water = 140

Let The number of apple for 1 cup of water = n

<u>Now, From unitary method :</u>

∵ For every 91 cups of water , the number of apple needed = 140

∴ For every 1 cup of water , the number of apple needed = \frac{140}{91}

I.e n =  \frac{140}{91}

or, n = 1.5 apples

The number of apple for 1 cup of water = n = 1.5 apples

Hence The number of apple for 1 cup of water is 1.5 apples Answer

5 0
2 years ago
In 2008 Alice bought a house. In 2014 she sold it for a 20% profit. In 2019 it was then sold at a 5% loss for £182,400 Work out
Wittaler [7]

Answer:

£160,000

Step-by-step explanation:

Alice bought the house in 2008 for £x.

In 2014, the house sold for a 20% profit, so it sold for 1.2x. (* see explanation below)

In 2019, the house sold for a 5% loss, so it sold for 0.95(1.2x). (* see explanation below)

In 2019, it sold for £182,400.

0.95(1.2x) = 182,400

1.14x = 182,400

x = 182,400/1.14

x = 160,000

Answer: £160,000

* Explanation of 1.2 and 0.95.

A quick way to apply a percent increase or decrease to a number is to using the following method. The number you start with is 100% of the number. If you are adding a percent to it, then add the percent to 100% and convert it to a decimal. If you are subtracting the percent, then subtract the percent from 100% and convert to a decimal. Then multiply the decimal by the original number to find the increased or decreased number.

Example of percent increase:

A book used to cost £10. The price went up by 12%. What is the new price?

100% + 12% = 112% = 1.12

1.12 * £10 = £11.20

Example of percent decrease:

A pair of trousers costs £60. It is on sale at 35% off the regular price. What is the sale price?

100% - 35% = 65% = 0.65

0.65 * £60 = £39

5 0
2 years ago
2/3x=10 thankyou for helping me
Novay_Z [31]
(2/3)x = 10
(3/2)(2/3)x = 10(3/2)
x = 30/2 = 15
6 0
2 years ago
Read 2 more answers
Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i
steposvetlana [31]

Answer:

The distance between the two given complex numbers = 9

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i):</em></u>-

Given  Z₁ = 9 - 9 i    and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A =  Z₁ = x₁ +i y₁ = 9 - 9 i and

    B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

     (x₂, y₂) = (10, -9)

<u>Step(ii)</u>:-

<em>The distance between the two points are </em>

    A B   =   \sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2}    }

    A B =   \sqrt{(10 - 1)^{2}+(-9 - (-9))^{2}    }

   AB   = \sqrt{(9)^{2} +(-9+9)^{2} }

 <em> AB    =  √81 = 9</em>

<u><em>Conclusion:-</em></u>

The distance between the two given complex numbers = 9

<u><em></em></u>

3 0
3 years ago
HURRY SOMEONE PLEASE HELP ME??!!!!!!!
goblinko [34]

Answer:

The answer is A hope it helps!

7 0
3 years ago
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