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zlopas [31]
4 years ago
6

Simplify show work1. √50 + √82. 30/√7​

Mathematics
1 answer:
vova2212 [387]4 years ago
7 0

Answer:

1. 7 sqrt(2)

2. (30 sqrt(7))/7

Step-by-step explanation:

Simplify the following:

sqrt(50) + sqrt(8)

sqrt(50) = sqrt(2×5^2) = 5 sqrt(2):

5 sqrt(2) + sqrt(8)

sqrt(8) = sqrt(2^3) = 2 sqrt(2):

5 sqrt(2) + 2 sqrt(2)

5 sqrt(2) + 2 sqrt(2) = 7 sqrt(2):

Answer: 7 sqrt(2)

_____________________________________________

Simplify the following:

30/sqrt(7)

Rationalize the denominator. 30/sqrt(7) = 30/sqrt(7)×(sqrt(7))/(sqrt(7)) = (30 sqrt(7))/7:

Answer: (30 sqrt(7))/7

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a.) 10 months

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Step-by-step explanation:

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Kool Karate : y=35x+100

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This means that at 10 months, the cost is the same for both.

B.) Substitute 6 for x in both equations

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Kool Karate :y=35(6)+100\\y=310

The cost for Kool Karate is cheaper, so that is what he should join.

C.)  Substitute 12 for x in both equations.

x=12 because there are 12 months in a year.

Karate Klub:y= 25(12)+200\\y=500

Kool Karate:y=35(12)+100\\y=520

The cost for Karate Klub is cheaper, so that is what he should join.

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