Verify that each equation is an identity.sin3 x cos2 x = sin x (cos2 x - cos4 x)

What will be an ideal response?


sin3 x cos2 x = sin x (1 - cos2 x) (cos2 x) = sin x (cos2 x - cos4 x).

Mathematics

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Solve the problem.The product of two consecutive odd integers is 195. Find all pairs of integers that satisfy this condition.

A. -15 and 13, -13 and 15 B. -15 and -13, 13 and 15 C. -15 and 13 D. -15 and 15

Mathematics

Use long division to divide the polynomials.

A. x + 5
B. x + 
C. x + 4
D. x + 4 + 

Mathematics

Solve the problem.The number of births in a certain state has been increasing in recent months. Using the information given on the bar graph for the months October to April, find an equation to model the number of births y for the month x. Let x = 0 correspond to October and x = 6 correspond to April. Use these two points to find the equation. 

A. y = x + 1693
B. y = -71x + 1693
C. y = x + 1693
D. y = 71x + 1693

Mathematics

Simplify the following. Leave answer as a power.7090 ? 7043 ? 7010

A. 70143 B. 70133 ? 709 C. 210143 D. 140143

Mathematics