For the given pair of functions, find the requested function.f(x) = x2 + 6x + 8 and g(x) = x + 2;
(x)
A. x2 + 4
B. x + 4
C. x - 6
D. x3 - 6
Answer: B
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Simplify.
A. 180 B. 20 C. 19 D. does not exist as a real number
Solve the problem.At $14 per ticket, the Casper Coyotes will fill all 8000 seats in the assembly hall. The manager knows that for every $1 increase in the price, 100 tickets will go unsold. Write the number of tickets sold, n, as a function of the ticket price, p. How much money will be taken in if the tickets are $19 each? Hint: Find the equation of the line through (14, 8000), (15, 7900), etc.
A. n = -200p - 17,400; -$21,200 B. n = 200p + 2200; $6000 C. n = -100p - 8140, -$10,040 D. n = -100p + 9400; 7500
Solve the exponential equation and approximate the result, correct to three decimal places. = 5
A. 0.2027 B. 0.215 C. 0.2798 D. 0.3261
A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows: What is the maximum profit if the profit margin on A changes to $7.00?
A. $225,000 B. $266,000 C. $105,000 D. $98,000