Use grouping to factor the polynomial.x3 + 7x2 + 8x + 56

A. (x3 + 8)(x + 7)
B. (x2 + 8)(x + 7x)
C. (x2 + 8)(x - 7)
D. (x2 + 8)(x + 7)


Answer: D

Mathematics

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Solve the problem. Round to the nearest cent.Bob deposits $5000 at the end of each year in an ordinary annuity paying 3% interest compounded annually. Find the amount he will have on deposit after 12 years.

A. $65,960.15 B. $78,088.95 C. $70,960.15 D. $64,038.98

Mathematics

Find the direction the parabola opens, the coordinates of the vertex, the equation of the axis of symmetry and draw the graph.y = (x + 2)2 + 3

A.

opens up; vertex (3, -2);
axis of symmetry x = 3
B.
 
opens up; vertex (-2, 3);
axis of symmetry x = -2
C.
 
opens up; vertex (-3, 2);
axis of symmetry x = -3
D.
 
opens up; vertex (23);
axis of symmetry x = 2

Mathematics

If a ball is thrown directly upward with a velocity of 48 ft/s, its height (in feet) after t seconds is given by y = 48t - 16t². What is the maximum height attained by the ball?

(a) 48 ft (b) 16 ft (c) 32 ft (d) 54 ft

Mathematics

Solve the absolute value equation. + 2 = 8

A. x = - 
B. x = 
C. no solution
D. x = - 

Mathematics