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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Find the slope.Find the slope of a line perpendicular to the line y = - 4x.

A.
B. 0
C. undefined
D. - 4

Mathematics

Solve. Round the answer to the nearest whole number.The size of the rat population of a wharf area grows at a rate of 9% monthly. If there are 300 rats in June, find how many rats should be expected by next June.

A. 942 rats B. 844 rats C. 327 rats D. 755 rats

Mathematics

In the following exercise, assume straight-line appreciation. ? An antique table is expected to appreciate $30 each year. If the table will be worth $220 in 5 years, what will it be worth in 10 years? ? Please enter your answer rounded to the nearest whole dollar, without the units.

Fill in the blank(s) with the appropriate word(s).

Mathematics

For the pair of functions, find the indicated domain.f(x) = , g(x) = Find the domain of f + g.

A. (-?, -10) ? (-10, 1) ? (1, ?) B. (-?, -4) ? (-4, -2) ? (-2, ?) C. (-?, ?) D. (-?, -1) ? (-1, 10) ? (10, ?)

Mathematics