Solve the problem.The profit P for selling x items is given by the equation P(x) = 2x - 500. Express the sales amount x as a function of the profit P.
Fill in the blank(s) with the appropriate word(s).
x(P) = (1/2) P + 250
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Use the limit definition of the partial derivative to compute the indicated partial derivative of the function at the specified point.Find at the point (8, 7, -2): f(x, y, z) = 9x2y + 4y2 + 4z
What will be an ideal response?
Use sum-to-product identities to rewrite the expression as a product.sin 43° - sin 27°
A. 2 cos 35° cos 8° B. -2 sin 35° sin 8° C. 2 cos 35° sin 8° D. 2 sin 35° cos 8°
Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the solution set in interval notation.-4x < -8 and x + 4 > 1
A. (2, ?)
B. (-3, 2)
C. (-?, -3) ? (2, ?)
D. ?
Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.3log347.8
A. 47.8 B. 3 C. 0.021 D. 481