Find the values of a, b, and c for which the quadratic equation ax2 + bx + c = 0 has the given numbers as solutions. Then use those values to write a quadratic equation.-2, 9
A. x2 - 18x - 7 = 0
B. x2 - 18x + 7 = 0
C. x2 - 7x - 18 = 0
D. x2 + 7x - 18 = 0
Answer: C
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Write the number as a decimal.
A. 0.0125 B. 1.25 C. 0.0625 D. 0.125
Solve the problem.Financial analysts in a company that manufactures ovens arrived at the following daily cost equation for manufacturing x ovens per day: C(x) = x2 + 4x + 1800. The average cost per unit at a production level of x ovens per day is (x) = C(x)/x. (i) Find the rational function
. (ii) Sketch a graph of
(x) for 10 ? x ? 125. (iii) For what daily production level (to the nearest integer) is the average cost per unit at a minimum, and what is the minimum
average cost per oven (to the nearest cent)? HINT: Refer to the sketch in part (ii) and evaluate (x) at appropriate integer values until a minimum value is found.
A. (i) (x) =
(ii)
(iii) 44 units; $185.61 per oven
B. (i) (x) =
(ii)
(iii) 61 units; $133.29 per oven
C. (i) (x) =
(ii)
(iii) 22 units; $48.93 per oven
D. (i) (x) =
(ii)
(iii) 42 units; $88.86 per oven
If y varies inversely as x, write a general formula to describe the variation.y = 8 when x = 2
A. y =
B. y = 4x
C. y =
D. y =
Write the prime factorization of the number.936
A. 24 ? 3 ? 13 B. 2 ? 34 ? 13 C. 23 ? 33 ? 13 D. 23 ? 32 ? 13