If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.16x2 - 80x + 100
A. 4(2x + 5)(2x - 5)
B. 4(2x + 5)2
C. 4(2x - 5)2
D. -8(2x - 5)2
Answer: C
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Factor completely.6y4 - 33y3 + 36y2
A. 3y2(2y - 3)(y + 4) B. y2(2y - 3)(y - 4) C. 3y2(2y + 3)(y - 4) D. 3y2(2y - 3)(y - 4)
Solve the problem.List all the ordered arrangements of 6 objects a, b, c, d, e, and f choosing 2 at a time without repetition. What is P(6, 2)?
A. aa, ab, ac, ad, ae, af, ba, bb, bc, bd, be, bf, ca, cb, cc, cd, ce, cf, da, db, dc, dd, de, df, ea, eb, ec, ed, ee, ef, fa, fb, fc, fd, fe, ff P(6, 2) = 36 B. ab, ac, ad, ae, af, ba, bc, bd, be, bf, ca, cb, cd, ce, cf, da, db, dc, de, df, ea, eb, ec, ed, ef P(6, 2) = 25 C. ab, ac, ad, ae, af, ba, bc, bd, be, bf, ca, cb, cd, ce, cf, da, db, dc, de, df, ea, eb, ec, ed, ef, fa, fb, fc, fd, fe P(6, 2) = 30 D. ab, ac, ad, ae, af, bc, bd, be, bf, cd, ce, cf, de, df, ef P(6, 2) = 15
The number of lumens (time rate of flow of light) L from a fluorescent lamp can be approximated by the model ? L = -0.294x2 + 97.744x- 664.875, 20 ? x ? 90 ? where x is the wattage of the lamp. ? Use a graphing utility to select the graph of the function. Use the graph to estimate the wattage necessary to obtain 2400 lumens. ?
A. ?
40W
B. ?
30W
C. ?
45W
D. ?
25W
E. ?
35W
Solve the problem.Suppose the the cost, C, of producing x units of a product can be illustrated by the given graph. Find each limit, if it exists:p(x),
p(x),
p(x)
A. 200; 300; does not exist B. 200; does not exist; does not exist C. 200; 200; 200 D. 200; 300; 200