Solve the problem.Find real numbers a, b, and c such that the graph of the function y = ax2 + bx + c contains the points (1, 1), (2, 4), and (-3, 29).

Fill in the blank(s) with the appropriate word(s).


a = 2, b = -3, c = 2

Mathematics

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Write the statement as a power function equation. Use k as the constant of variation.The height h of a cone with a fixed volume varies inversely as the square of its radius r.

A. h = 
B. r2 = kh
C. h = kr2
D. h = 

Mathematics

Calculate the future value when P=$4,500, r=10% compouned monthly, and t=5 years. Round to the nearest cent.

a.  $7,403.89 b.  $6,750.00 c.  $9,482.32 d.  $4,690.65 e.  $11,830.03

Mathematics

Find an equation for the line tangent to given curve at the given value of x.y = x - x2; x = 4

A. y = 7x + 16 B. y = 9x + 16 C. y = 9x - 16 D. y = -7x + 16

Mathematics

Find the centroid of the region bounded by the curves.

What will be an ideal response?

Mathematics