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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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HELP PLEASEEE
jeka94

The exact circumference of the circle is 7 \frac{49}{150} k m

The approximate circumference of the circle is 7.33 k m

Explanation:

The diameter of the circle is 2 \frac{1}{3} \mathrm{km}

Now, we shall find the circumference of the circle.

The formula to determine the circumference of the circle is given by

C=\pi d

Where C is the circumference , \pi is 3.14 and d=2 \frac{1}{3} \mathrm is the diameter of the circle.

The exact circumference of the circle is given by

\begin{aligned}C &=\pi d \\&=(3.14)\left(2 \frac{1}{3}\right) \\&=(3.14)\left(\frac{7}{3}\right) \\&=\frac{21.98}{3}\end{aligned}

Multiply both numerator and denominator by 100, we get,

C=\frac{2198}{300} \\C=\frac{1099}{150}

Converting \frac{1099}{150} into mixed fraction, we get,

C=7 \frac{49}{150}

Thus, the exact circumference of the circle is 7 \frac{49}{150} k m

The approximate value of the circumference can be determined by dividing the value \frac{1099}{150}

C=\frac{1099}{150}=7.327

C=7.33km

Thus, the approximate circumference of the circle is 7.33 k m

3 0
3 years ago
All functions have a domain and a range.<br> True<br> False
Elza [17]

Answer:

True

Step-by-step explanation:

The definition of the function is a relation with exactly one x for each y. x is the domain, and y is the range, so all functions have a domain and a range.

6 0
3 years ago
A sweater is regularly $32 it is 25% off the original price this week
yan [13]
8 is the answer 8 is the answer 8 is the answer 8 is the answer 8 is the answer 8 is the answer 8 is the answer 8 is the answer <span>8 is the answer</span>
3 0
3 years ago
Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. How much money did she save????
andrey2020 [161]

Given:

Normal price of a tv = $200

Coupon = 25% off

To find:

The money saved by Katherine.

Solution:

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. It means, the money saved by Katherine is 25% of normal price of tv, i.e., $200.

Saving=25\%\text{ of }200

Saving=\dfrac{25}{100}\times 200

Saving=25\times 2

Saving=50

Therefore, the money saved by Katherine is $50.

6 0
3 years ago
What is 13 divided by 5/8
Norma-Jean [14]
20.8 hope this helps :D
5 0
3 years ago
Read 2 more answers
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