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Lubov Fominskaja [6]
3 years ago
15

Can someone tell me if these answers are right or not? These problems are getting on my nerves!

Mathematics
1 answer:
Bond [772]3 years ago
6 0
1a. 3^1 / 3^2 = 3^1-2 = 3^-1 = 1/3^1 = 1/3.
2b. 4^2 / 4^4 = 4^2-4 = 4^-2 = 1/4^2.
3c. 6^3/6^5 = 6^3-5 = 6^-2 = 1/6^2.
4d. 3^-5 • 3^2 = 3^-10 = 1/3^10.

I believe for the last question its asking only to rewrite exponent as a positive exponent similar to the first question.
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Find f^-1(x) for f(x) = 1/x^3
kow [346]

Answer: f^{-1}(x) = \frac{\sqrt[3]{x^{2}}}{x}

<u>Step-by-step explanation:</u>

y = \frac{1}{x^{3}}

Inverse is when you swap the x's and y's and then solve for "y":

x = \frac{1}{y^{3}}

y^{3} = \frac{1}{x}

y = \frac{1}{\sqrt[3]{x}}

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3 years ago
Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours th
vfiekz [6]

Answer:

three and one fourth + 2x ≥ 6

Step-by-step explanation:

Let

x -----> the minimum number of hours he needs to practice on each of the two days

we know that

needs to spend at least seven hours each week practicing the drums

so

3\frac{1}{4}+2x\geq 6\ hours

Convert mixed number to an improper fraction

3\frac{1}{4}\ hours=\frac{3*4+1}{4}=\frac{13}{4}\ hours

substitute

\frac{13}{4}+2x\geq 6\ hours

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Divide by 2 both sides

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The minimum number of hours he needs to practice on each of the two days is \frac{11}{8}\ hours

5 0
3 years ago
Iron Man Training While training for an iron man competition, Tony bikes for 60 miles and runs for 15 miles. If his bikes speed
ivolga24 [154]

Answer:

<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>

Step-by-step explanation:

How long did Tony speed on his bike?

Let s to be Tony's running speed, then 8s is Tony's biking speed

Let's recall that Time = Distance/Speed

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Replacing with the real values, we have:

60/8s + 15/s = 5

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60 + 8 * 15 = 5 * 8s

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s = -180-40

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Tony run at 4.5 mph and biked at 36 mph

Now, we can calculate the time, this way:

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