Provide an appropriate response.Let f(t) = t2 - 1, find (a) f(3t); (b) 3 × f(t)

What will be an ideal response?


(a)9t2 - 1(b)3t2 - 3

Mathematics

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Decide whether or not the given equation is an identity.sin2 ? - cos2 ? = 1 - 2 cos2 ?

A. Yes B. No

Mathematics

Determine the amplitude and range of the function and sketch its graph.y = -3 sin x

A. amplitude: 3; range: [0, 3]

B. amplitude: 3; range: [-3, 3]

C. amplitude: 3; range: [-3, 3]

D. amplitude: ; range: (-?, ?)

Mathematics

Solve the problem.A young married couple had a combined annual income of $43,000. If the wife made $3000 more than the husband, write these relationships as a system of equations. Let x represent the husband's income and let y represent the wife's income.

A. x + y = 3000 y = x + 43,000 B. x + y = 43,000 y = 3000 C. x + y = 43,000 y = x + 3000 D. x - y = 43,000 y = x + 3000

Mathematics

The loudness of a sound of intensity x, measured in watts per square meter, is defined as L(x) = log (), where xo = 10-3.A company with load machinery needs to cut its sound intensity to 72% of its original level. By how many decibels should the loudness be reduced?

Fill in the blank(s) with the appropriate word(s).

Mathematics