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PtichkaEL [24]
3 years ago
14

Rachel earned $34 in 4 hours at her job today. She wants to know how much she could earn tomorrow if she works 10 hours at the s

ame hourly rate.
How much will Rachel earn in 10 hours?
Mathematics
1 answer:
Mkey [24]3 years ago
3 0
She will earn $85. You divide 34 by 4 to find out how much she gets paid an hour. Then, you multiply that answer by 10 and that should give you 85
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If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
kodGreya [7K]

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The value of n is -6

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  • If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
  • If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
  • The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

∵ k(x) = x²

→ Its graph is a parabola with vertex (0, 0)

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∵ The given graph is the graph of p(x)

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∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

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→ By comparing the two right sides

∴ n = -6

∴ The value of n is -6

Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

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