Write an algebraic expression for the specified quantity.An auto repair shop charged a customer $307.25 to repair a car. The bill listed $67.75 for parts and the remainder for labor. Let x = the number of hours of labor it took to repair the automobile. Write an algebraic expression in x for the labor charge per hour.
A.
B.
C.
D.
Answer: D
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Find an equation for the line tangent to the curve at the point defined by the given value of t.x = t, y = , t = 18
A. y = x
B. y = - x - 3
C. y = - x
D. y = x + 3
Simplify the expression. Assume that all variables are positive when they appear.(9)(9
)
A. 567
B. 567
C. 81
D. 3969
Select the region determined by the constraints. Then find the minimum value of the objective function (if possible) and where it occurs, subject to the indicated constraints. ? Objective function: ? z = 7x + 6y ? Constraints: ? x ? 0 ?y ? 0 5x + 2y ? 20 5x + y ? 10 ?
A.
?Minimum at (2, 0): 14
B.
Minimum at (0, 2): 15
C.
Minimum at (0, 10): 60
D.
Minimum at (0, 4): 29
E.
Minimum at (4, 0): 14
Find the derivative of the following function.
?
?
A.
B.
C.
D.
E.