For the pair of functions, perform the indicated operation.f(x) = , g(x) = Find (x).

A.
B.
C.
D.


Answer: A

Mathematics

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Using the addition/subtraction method, find the value of x and y to satisfy the following equations: x + 2y = 4; 2x - 3y = 7

a. x = 15 y = 7/2 b. x = 60 y = 15 c. x = 7/13 y = 7/2 d. x = 31/7 y = 2/7 e. x = 26/7 y = 1/7

Mathematics

An open rectangular box having a volume of 4in3 is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal. ?  Hint: Let the dimensions of the box be x by y by z. Then, xyz = 108 and the amount of material used is given by S = xy + 2yz + 2xz. Show that ?  ?  Minimize f(x, y) ? 

A. x = 1; y = 1; z = 2 B. x = 2; y = 2; z = 1 C. x = 2; y = 1; z = 1 D. x = 2; y = 1; z = 2

Mathematics

The sun is 25º above the horizon. Find the length of a shadow cast by a building that is  feet tall (see figure). Approximate the answer to two decimal places. ? ?

A. 281.79 ft B. 278.79 ft C. 279.79 ft D. 280.79 ft E. 282.79 ft

Mathematics

Write the following as an equation, using x for the unknown number. Then solve.If 4 times a number is added to -7, the result is equal to 11 times the number. Find the number.

A. 15x - 11x = 7; 1 B. 4x + (-7) = 11x; -1 C. 11(4x - 7) = -7; -1 D. 4x + (-7) = 11x; 1

Mathematics