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Digiron [165]
3 years ago
9

Pls help I dont understand. Find the inverse of this function.

Mathematics
1 answer:
lisov135 [29]3 years ago
8 0

In the inverse we replace the place of x by y .

g(x) =  \sqrt[3]{x}  - 3 \\  \\ x =  \sqrt[3]{y}  - 3 \\  \sqrt[3]{y}  = x + 3 \\ y =  {(x + 3)}^{3}  \\ y =  {(x + 3)}^{2} (x + 3) \\ y =  ({x}^{2}  + 6x + 9)(x + 3) \\ \\  y =  {x}^{3}  + 6 {x}^{2}  + 9x + 3 {x}^{2}  + 18x + 27 \\  \\ y =  {x}^{3}  + 9 {x}^{2}  + 27x + 27 \\   \\ \\ g(x)^{ - 1}  =  {x}^{3}  + 9 {x}^{2}  + 27x + 27

I hope I helped you^_^

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Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill
abruzzese [7]

Answer:

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year

Step-by-step explanation:

Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

i.e. if V stands for volume of oil, then

V' =kV\\dv/V= kdt\\ln V = kt+C\\V = Ae^{kt}

To find A and k

V(0) = A = 3 million

Hence V = 3e^{kt}

V(6) = 1.5

i.e. 1.5 = 3e^{6k}\\ln 1.5 =ln 3 +6k\\k = -0.11552

V(t) = 3e^{-0.11552t}

a) Using the above value of k , we have

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year.

4 0
3 years ago
Melissa is helping her dad build a walkway in their backyard. The walkway will be 545454 feet long and 1.51.51, point, 5 feet wi
sergiy2304 [10]

For the answer to the question above asking <span>Melissa is helping her dad build a walkway in their backyard. The walkway will be 545454 feet long and 1.51.51, point, 5 feet wide. The local hardware store sells tiles which are 1.51.51, point, 5 by 1.51.51, point, 5 feet and come in boxes of 121212.</span>
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5 0
3 years ago
Read 2 more answers
A manager wants to select one group of 4 people from his 28 assistants.
Keith_Richards [23]

There are, 20475 different groups are possible if the manager wants to select one group of 4 people from his 28 assistants.

<h3>What is permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

A manager wants to select one group of 4 people from his 28 assistants.

The total number of groups possible = C(28, 4)

= \rm \dfrac{28!}{4!(28-4)!}

After calculating:

= 20475

Thus, there are, 20475 different groups are possible if the manager wants to select one group of 4 people from his 28 assistants.

Learn more about permutation and combination here:

brainly.com/question/2295036

#SPJ1

8 0
2 years ago
Please use the figure below to solve for both x and y
kkurt [141]

Answer:

x=10°

y = 12°

Step-by-step explanation:

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=> 10y + 10° + 5*10° = 180°

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Subtract 60° on both sides,

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Divide by 10,

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3 0
3 years ago
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