Evaluate the expression.(f ? g)(a) when f(x) = 6x + 7 and g(x) = 4x - 1.

A. 24a + 6
B. 24a + 13
C. 24a + 27
D. 24a + 1


Answer: D

Mathematics

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A 1500-liter tank contains 70 liters of a 30% acid solution and you add x liters of a 70% acid solution to the tank. If the function C, which represents the proportion of acid to the total solution in the final mixture, is given by determine the domain based upon the physical constraints of the problem.

a.
b.
c.
d.

Mathematics

Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the solution set in interval notation.9 ?  + 6 < 15

A. [2, 3)

B. (2, 3]

C. (2, 6]

D. [2, 6)

Mathematics

Find the domain of f and write it in interval notation.f(x) = ln(4 - x)

A. (-4, ?) B. (4, ?) C. (-?, -4) D. (-?, 4)

Mathematics

A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

a. ? 476 mi/h b. ? 670 mi/h c. ? 455 mi/h d. ? 570 mi/h e. ? 495 mi/h

Mathematics