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beks73 [17]
3 years ago
7

Find the Inverse of the Function y= 10x^2 - 4

Mathematics
1 answer:
shusha [124]3 years ago
3 0
Hello.

1. Switch y and x.
x = 10y^2 - 4
2. Isolate y.
x + 4 = 10y^2
(x + 4)/(10) = y^2
y = sqrt[(x + 4)/(10)]
3. Replace y with f^-1(x)
f^-1(x) = sqrt[(x + 4)/(10)]

Good luck to you!
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An English teacher needs to pick 9 books to put on his reading list for the next school year, and he needs to plan the order in
Nikitich [7]

Answer:   4.37\times10^3

Step-by-step explanation:

Given : Number of choices for novels = 4

Number of choices for plays = 6

Number of choices for poetry books = 5

Number of choices for nonfiction books = 5

Total books =4+6+5+5=20

If he wants to include all 4 novels, then the number of books left to select = 9-4=5

Remaining choices for books = 20-4=16

Number of combinations of n things taking r at a time : \dfrac{n!}{r!(n-r)!}

Then, the number of different reading schedules are possible :_

^4C_4\times^{16}C_5\\\\=\dfrac{4!}{4!(4-4)!}\times\dfrac{16!}{5!(16-5)!}\\\\=(1)\times\dfrac{16\times15\times14\times13\times12\times11!}{120\times11!}\\\\=4368=4.368\times10^3\approx4.37\times10^3

Hence, the required answer is 4.37\times10^3.

8 0
3 years ago
(-6x - 8) - (8x-9) can you subtract the expressions
Tcecarenko [31]

Answer:

-14x+1

Step-by-step explanation:

-6x-8

-8x+9

-14x+1

4 0
2 years ago
A heated piece of metal cools according to the function c(x) = (.5)^x − 11, where x is measured in hours. A device is added that
Goryan [66]

Answer:

The temperature of metal after five years =  -18.96875

Step-by-step explanation:

Given : Function c(x) = (0.5)^x-11

where x is measured in hours

Another function is added h(x)=-x-3

therefore, the resultant function f(x)=h(x)+c(x)

f(x) = (0.5)^x-11-x-3

For x=5

f(5) = (0.5)^5-11-5-3

f(5) = (0.03125)-19

f(5) = -18.96875

Therefore, The temperature of metal after five years = -18.96875

5 0
3 years ago
Read 2 more answers
Solve for x. Round to the nearest tenth, if necessary.
SashulF [63]
<h3>Answer:  3.6</h3>

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

Explanation:

We use the cosine ratio here. Make sure your calculator is in degree mode.

cos(angle) = adjacent/hypotenuse

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10*cos(69) = x

x = 10*cos(69)

x = 3.583679495453 which is approximate

x = 3.6

8 0
2 years ago
A large bucket of 200 golf balls is divided into 4 smaller buckets. How many golf balls are in each small bucket?
elena-14-01-66 [18.8K]

Answer:

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Step-by-step explanation:

200/4 is 50. I did that because it says the golf balls are DIVIDED into 4 smaller buckets.

To check the answer you do 50 times four.

6 0
2 years ago
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