Add.(x2 + 2x + 5) + (x3 - 4x + 4) + (-5x3 + 6x - 1)
A. -3x3 + 4x + 8
B. -4x3 - 3x2 + 8x + 8
C. -4x3 + x2 + 4x + 4
D. -4x3 + x2 + 4x + 8
Answer: D
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Write an absolute value function that is equivalent to the given piecewise function.f(x) =
A. f(x) = - - 70
B. f(x) = + 70
C. f(x) = - + 70
D. f(x) = - + 70
Use the rules of exponents to simplify the expression. Write the answer with positive exponents. Assume that all variables represent positive real numbers.(243k5m-10)1/5
A. 3km2
B.
C.
D. 5km2
Use the quadratic formula to solve the given equation. (Solutions are real numbers.)s2 +
s +
= 0
A.
B.
C.
D.
Solve the problem.Economists use what is called a Leffer curve to predict the government revenue for tax rates from 0% to 100%. Economists agree that the end points of the curve generate 0 revenue, but disagree on the tax rate that produces the maximum revenue. Suppose an economist produces this rational function, where R is revenue in millions at a tax rate of x percent. Use a graphing calculator to graph the function. What tax rate produces the maximum revenue? What is the maximum revenue?
A. 28.1%; $470 million B. 31.4%; $464 million C. 26.5%; $469 million D. 29.7%; $467 million