You are given a table showing input and output values for a given function y1 = f(x). Use the table to answer the question.What is the y-intercept of the graph of y = f(x)?

A. 3
B. 0
C. -3
D. 1


Answer: C

Mathematics

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Solve the problem.The strength S of a wooden beam with rectangular cross section is given by the formula S = kd3 sin2 ? cos ?where d is the diagonal length, ? the angle illustrated, and k is a constant that varies with the type of wood used.  Let d = 1 and express the strength S in terms of the constant k for ? = 45°, 50°, 55°,  and 65°. Does the strength always increase as ? gets larger?

What will be an ideal response?

Mathematics

Perform the indicated operation.-12x6(-11x5 - 2x3 - 1)

A. 132x11 - 2x3 - 1 B. 132x5 + 24x3 + 12 C. 132x11 + 24x9 D. 132x11 + 24x9 + 12x6

Mathematics

Completely factor the polynomial or state that the polynomial is prime.15x4 + 16x2 + 4

A. (3x2 + 1)(5x2 + 4) B. (3x2 + 2)(5x2 + 2) C. (5x2 - 2)(3x2 - 2) D. (15x2 + 2)(x2 + 2)

Mathematics

Evaluate the function.Given that f(x) =  + , find f(3).

A.   ? 0.0000
B.   ? 7.5000
C.   ? 3.2321
D.   ? 0.2321

Mathematics