Use the fundamental identities to simplify the expression.cos (-x) cos x - sin (-x) sin x
A. 0
B. cos2x sin2x
C. 2
D. 1
Answer: D
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Use synthetic division to find the quotient and the remainder.(3x4 - 9x3 + 2x2 - 6x) ÷ (x - 3)
A. Q(x) = (3x2 + 2x); R(x) = 0 B. Q(x) = (3x3 + x2 - x + 3); R(x) = 9 C. Q(x) = (3x3 - 2x); R(x) = 0 D. Q(x) = (3x3 + 2x); R(x) = 0
Write the number in words.64,568,009
A. Sixty million, forty-five thousand, sixty-eight hundred and nine B. Sixty-million, five thousand sixty-eight hundred, nine C. Sixty-four million, five hundred thousand, sixty-eight hundred, nine D. Sixty-four million, five hundred sixty-eight thousand, nine
Divide using long division.
A. 4x3 + 19x + 3 - 
B. 4x3 + 19x + 3 + 
C. 4x3 + 19x - 3 + 
D. 4x3 + 19x + 3 + 
Lawnco produces three grades of commercial fertilizers. A 100-lb bag of grade-A fertilizer contains 21lb of nitrogen, 5lb of phosphate, and 7lb of potassium. A 100-lb bag of grade-B fertilizer contains 17lb of nitrogen and 2lb each of phosphate and potassium. A 100-lb bag of grade-C fertilizer contains 25lb of nitrogen, 5lb of phosphate, and 7lb of potassium. How many 100-lb bags of each of the three grades of fertilizers should Lawnco produce if 18,500lb of nitrogen, 3,900lb of phosphate, and 5,300lb of potassium are available and all the nutrients are used?
