Decide if the given number is a solution to the given equation.5x2 + 8 = 48; 4
A. No
B. Yes
Answer: A
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Write in radical form. Assume all variables represent positive real numbers.(9m + 5n) 4/5
A.
B.
C.
D.
Determine which function matches the graph. Do this without using your grapher.A: y = x - 3 +
+
B: y = x - 3 -
-
C: y = 2 +
/> + D: y = 2 +
-
A. C
B. B
C. A
D. D
Find the special product.(2 - 11r)(2 + 11r)
A. 4 - 121r2 B. 4 - 11r2 C. 4 + 44r - 121r2 D. 4 - 44r - 121r2
Finish the proof.cos 2x = -2 sin 2x. (Use the double-angle identity.)
A. cos 2x =
(cos2 x - sin2 x) =
[(cos x)(cos x) - (sin x)(sin x)]
= (-sin x)(cos x) + (cos x)(-sin x) - (cos x)(sin x) + (sin x)(cos x) = -2 sin x cos x = -2 sin 2x
B. cos 2x =
(cos2 x - sin2 x) =
[(cos x)(cos x) - (sin x)(sin x)]
= (-sin x)(cos x) + (cos x)(-cos x) - (cos x)(sin x) - (sin x)(sin x)
= -2 sin x cos x - cos2 x - sin2 x = -2 sin 2x
C. cos 2x =
(cos2 x - sin2 x) =
[(cos x)(cos x) - (sin x)(sin x)]
= (-sin x)(cos x) + (cos x)(-sin x) - (cos x)(sin x) - (sin x)(cos x) = -4 sin x cos x = -2 sin 2x
D. cos 2x =
(cos2 x - sin2 x) =
[(cos x)(cos x) - (sin x)(sin x)] = 2 cos x - 2 sin x
= -4 sin x cos x = -2 sin 2x