Rewrite the equation in standard form. Determine whether the parabola is horizontal or vertical, the direction it opens, and the vertex.y = x2 - 4x + 11
A. y = (x + 2)2 - 7
vertical, opens upward, vertex (-2, -7)
B. y = (x + 7)2 - 2
vertical, opens upward, vertex (-7, -2)
C. y = (x - 2)2 + 7
vertical, opens upward, vertex (2, 7)
D. y = (x - 7)2 + 2
vertical, opens upward, vertex (7, 2)
Answer: C
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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 13 inches by 22 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) = x(13 - 2x)(22 - 2x) B. V(x) = (13 - x)(22 - x) C. V(x) = (13 - 2x)(22 - 2x) D. V(x) = x(13 - x)(22 - x)
Determine whether the function satisfies the hypotheses of the Mean Value Theorem for the given interval.f(x) = x1/3,
A. No B. Yes
If two fair dice, one red and one white, are rolled, in how many ways can the result be obtained?The sum of the numbers showing is either 3 or 4.
A. 3 ways B. 4 ways C. 5 ways D. 2 ways
Find the area of the rectangle.
A. 200 sq m B. 100 sq m C. 50 sq m D. 25 sq m