Solve the problem.A right triangle has one vertex on the graph of y = x2 at (x, y), another at the origin, and the third on the (positive) y-axis at (0, y). Express the area A of the triangle as a function of x.
What will be an ideal response?
A(x) = x3
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Find the volume of the solid generated by revolving the shaded region about the given axis.About the y-axis
A. 100?
B. ?
C. 25?
D. ?
Determine whether or not the equation is linear.6x - 5x(x - 2) = 11x
A. Linear B. Not linear
Convert the units.760 mL = L
A. 76,000 L B. 7.6 L C. 0.76 L D. 760,000 L
Write the new function.The linear function f(x) = 82.95x + 1185 provides an approximation of the value (in dollars) of an account opened on January 1, 1988, in the amount of $1185 and earning 7% simple interest, where x = 0 represents January 1, 1988, x = 1 represents January 1, 1989, x = 2 represents January 1, 1990, and so on. Write a new function, g(x), that yields the same f(x)-values when the exact year number is entered.
A. g(x) = 82.95(1988 - x) + 1185 B. g(x) = 82.95(x - 1988) + 1185 C. g(x) = 82.95(1989 - x) + 1185 D. g(x) = 82.95(x - 1989) + 1185