Set up the linear programming problem.Charlene baby-sits for $4 per hour. She also works as a tutor for $7 per hour. Because of school, her parents only allow her to work 13 hours per week. How many hours can Charlene tutor and baby-sit and still make at least $50 per week? (a) Let x = hours spent baby-sitting and let y = hours spent tutoring. Write a system of inequalities for this situation. (b) Graph the solution set. 

What will be an ideal response?


(a)


(b) 

Mathematics

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The boundary of the graph of the linear inequality will be a _____ line, and the shading will be _____ the line. Fill in the first blank with either solid or dashed. Fill in the second blank with above or below.y < x + 

A. solid; above B. solid; below C. dashed; above D. dashed; below

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Find the quotient using long division.

A. m2 + 5m + 5 B. 5m2 - 5m + 5 C. m2 + 6m + 7 D. 5m2 + 5m + 5

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Use the Law of Sines to solve (if possible) the triangle. Round your answers to two decimal places. ? A = 76°, a = 7, b = 5 ?

A. B ? 43.87°, C ? 43.87°, c ? 7.96 B. B ? 48.87°, C ? 60.13°, c ? 6.26 C. B ? 43.87°, C ? 60.13°, c ? 6.26 D. B ? 48.87°, C ? 65.13°, c ? 7.96 E. No Solution

Mathematics

Verify the integration formula. ln (cosh x2) + C

A. Yes B. No

Mathematics