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3 years ago

12

What is the inverse one to one function of f(x) = square root of x-2???

1 answer:

alexira [117]3 years ago

6 0

$f(x) = \sqrt{x - 2} \\y = \sqrt{x - 2} \\y^{2} = (\sqrt{x - 2})^{2} \\y^{2} = x - 2 \\x^{2} = y - 2 \\x^{2} + 2 = y \\x^{2} + 2 = f^{-1}(x)$

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George walked around the entire perimeter of his rectangular garden. the length of his garden was 12 yards and the width was 8 y

makkiz [27]

It is 40 yards he walked

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3 years ago

Last week, the price of apples at a grocery store was $1.06 per pound. This week, apples at the store are on sale at a 10% disco

olga2289 [7]

Answer: $6.48

Step-by-step explanation:

1.60 * 0.1 = $0.16

1.60 - 0.16 = $1.44

1.44 * 4.5 = $6.48

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2 years ago

(7*10^5)^2 simplified in scientific notation

coldgirl [10]

♥ Lets solve this:
(7*10^5)^2(7*10^5)^2
Starting with 10^5
10*10*10*10*10
We get <span>100000
<span>Now we have 7*100000
Solve for that:
We get </span></span><span>700000
Now we have </span><span>700000^2
Solve for that
We get </span><span>490000000000
and in Scientific notation that is
4.9*10^11</span>

5 0

3 years ago

Read 2 more answers

Prove the divisibility:<br><br>45^45·15^15 by 75^30

garri49 [273]

Answer:

$3^{75}$ .

Step-by-step explanation:

We have been an division problem: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(9*5)^{45}=9^{45}*5^{45}$

$15^{15}=(3*5)^{15}=3^{15}*5^{15}$

$75^{30}=(15*5)^{30}=15^{30}*5^{30}$

Substituting these values in our division problem we will get,

$\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}$

$\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}$

$\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}$

$\frac{3^{105}*5^{60}}{3^{30}*5^{60}}$

$\frac{3^{105}}{3^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{105}}{3^{30}}=3^{105-30}$

$3^{105-30}=3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

7 0

3 years ago

There are 527 students enrolled at school 11% are absent today how many students are absent

trapecia [35]

Answer:

About 58 students are absent today.

Step-by-step explanation:

11%=0.11

0.11*527=57.97

3 0

3 years ago