Solve the problem.Robin is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $210 for materials and equipment rental plus $60 per hour for labor. Company B gave and estimate of $270 for materials and equipment rental plus $45 per hour for labor. Create a cost equation for each company where y is the total cost of the landscaping and x is the number of hours of labor. Determine how many hours of labor will be required for the two companies to cost the same.

A. 8 hr
B. 3 hr
C. 7 hr
D. 4 hr


Answer: D

Mathematics

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Write a description of the set.E = {x | x ? N and 2 < x ? 19}

A. E is the set of natural numbers greater than 2 and less than or equal to 19. B. E is the set of integers greater than 2 and less than or equal to 19. C. E is the set of natural numbers greater than 19 and less than or equal to 2. D. E is the set of natural numbers greater than or equal to 2 and less than 19.

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Write the expression in the standard form a + bi.i12

A. -i B. 1 C. i D. -1

Mathematics

Let f(x) = 8x2 - 5x and g(x) = 7x + 9. Find the composite.g[f(4)]

A. 148 B. 2983 C. 765 D. 37

Mathematics

Solve. Round to the nearest tenth when necessary.The zoo has hired a landscape architect to design the triangular lobby of the children's petting zoo. In his scale drawing, the longest side of the lobby is 14 cm. The shortest side of the lobby is 3 cm. The longest side of the actual lobby will be 45 m. How long will the shortest side of the actual lobby be?

A. 0.1 m B. 2.1 m C. 9.6 m D. 210 m

Mathematics