Use the graph to find the indicated function value.y = f(x). Find f(3).

A. 9
B. 1.5
C. -3
D. 3


Answer: B

Mathematics

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Solve the problem.A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 10 inches by 23 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.

A. V(x) = (10 - x)(23 - x) B. V(x) = x(10 - x)(23 - x) C. V(x) = x(10 - 2x)(23 - 2x) D. V(x) = (10 - 2x)(23 - 2x)

Mathematics

Simplify the expression, and combine like terms.7(5x2 + 9y) - (4x2 - 3y)

A. 39x2 + 66y B. 31x2 + 60y C. 39x2 + 12y D. 31x2 + 66y

Mathematics

Give the center and radius of the circle. Then sketch its graph.(x + 5)2 + (y - 4)2 = 16

A. center (- 5, - 4), r = 4

B. center (5, - 4), r = 4

C. center (5, 4), r = 4

D. center (- 5, 4), r = 4

Mathematics

Sketch a graph of a hyperbola, centered at the origin, with the foci, vertices, and asymptotes shown in the figure. Find an equation of the hyperbola.y = ± x; F(0, ±); V(0, ±2)

A.  -  = 1

B.  -  = 1

C.  -  = 1

D.  -  = 1

Mathematics