Establish the identity.sin 4x = (4 sin x cos x)(1 - 2 sin2 x)
What will be an ideal response?
sin 4x = 2 sin 2x cos 2x = (4 sin x cos x)(1 - 2 sin2 x).
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Solve the problem.Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The total income from the 5% and 6% investments is equal to the income from the 8% investment. Find the amount invested at each rate.
A. $10,000 at 5%, $10,000 at 6%, $5000 at 8% B. $8000 at 5%, $10,000 at 6%, $7000 at 8% C. $5000 at 5%, $10,000 at 6%, $10,000 at 8% D. $10,000 at 5%, $5000 at 6%, $10,000 at 8%
Simplify the expression. (Remember the order of operations.)12 + 2 - (-2)
A. 16 B. -16 C. 8 D. 12
Sketch the graph of the function. Indicate where it is increasing and where it is decreasing. Indicate where any relative extrema occur, where asymptotes occur, where the graph is concave up and where is it concave down, where any points of inflection occur, and where any intercepts occur. f(x) = 
What will be an ideal response?
Solve.Write the equivalent decimal and fraction for 16
%.
A. 0.1
; 16
B. 0.01
; 
C. 0.001
; 
D. 0.1
; 