For the given functions f and g, find the requested function and state its domain.f(x) = 2x + 1; g(x) = 6x - 5Find .

A. (x) = ;  
B. (x) = ;  
C. (x) = ;  
D. (x) = ;  


Answer: C

Mathematics

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Solve the problem.A zoom lens in a camera makes a rectangular image on the film that is 6 cm × 5 cm. As the lens zooms in and out, the size of the image changes. Find the rate at which the area of the image begins to change (dA/df) if the length of the frame changes at 0.6 cm/s and the width of the frame changes at 0.2 cm/s.

A.  m2/s
B. 4.2 m2/s
C. 0.84 m2/s
D. 4.6 m2/s

Mathematics

Factor by grouping.6x2 - 15x + 10x - 25

A. (3x - 5)(2x + 5) B. (3x + 5)(2x - 5) C. (6x - 5)(x + 5) D. (6x + 5)(x - 5)

Mathematics

A health spa customizes the diet and vitamin supplements for each client. They offer three different vitamin supplements, each containing different percentages of the recommended daily allowance (RDA) of vitamins A, C, and D. One tablet of supplement X provides 40% of the RDA of A, 20% of the RDA of C, and 10% of the RDA of D. One tablet of supplement Y provides 10% of the RDA of A, 10% of the RDA of C, and 30% of the RDA of D. One tablet of supplement Z provides 10% of the RDA of A, 50% of the RDA of C, and 20% of the RDA of D.The spa staff determines that a client should take 90% of the RDA of vitamin A, 190% of the RDA of vitamin C, and 130% of the RDA of vitamin D each day. Use the matrix operations on a graphing calculator to determine how many tablets of each supplement should

she take each day. What will be an ideal response?

Mathematics

Simplify the complex rational expression.

A.
B.
C.
D.

Mathematics