Given the function g as described by g(x) = x + 4, find the function value: g (b + 5).

a. b - 9
b. g + 9
c. b + 9
d. g - 9


c. b + 9

Mathematics

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Rewrite the expression using the indicated property of real numbers.Commutative property of addition:7 + 4

A. (4)(7) B. 4 + 7 C. 7 + 4 D. (7)(4)

Mathematics

Find the particular solution to the given differential equation that satisfies the given conditions.3 - 13 + 4y = xe-2x;   = -  and y =  when x = 0

A. y = e4x - ex/3 + xe-2x + e-2x 
B. y = e4x - ex/3 - xe-2x + e-2x 
C. y = e4x + ex/3 + xe-2x + e-2x 
D. y = e4x - ex/3 + xe-2x + e-2x 

Mathematics

Solve the given differential equation. (The form of yp is given.)D2y + 25y = 3 sin 5x (Let yp = Ax sin 5x + Bx cos 5x.)

A. y = c1 sin 5x + c2 cos 5x + x cos 5x
B. y = c1 sin 5x + c2 cos 5x - x sin 5x + x cos 5x
C. y = c1 sin 5x + c2 cos 5x - x cos 5x
D. y = c1 sin 5x + c2 cos 5x - x sin 5x

Mathematics

Find the total amount of Social Security and Medicare taxes (employees' contributions plus employer's contribution) for the company. Use a FICA rate of 6.2%, a Medicare rate of 1.45%, and assume no employee earned over $110,000.Doug's Bowling,total employee earnings: $57,966.82

A. $8695.02 B. $4434.46 C. $8868.92 D. $8115.35

Mathematics