Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.f(x) = 3x4 - 2x3+ 9x - 2; [-2, -1]

A. f(-2) = 44 and f(-1) = -6; yes
B. f(-2) = 44 and f(-1) = 6; no
C. f(-2) = -44 and f(-1) = 6; yes
D. f(-2) = -44 and f(-1) = -6; no


Answer: A

Mathematics

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Use a graphical method to solve the system. Give x- and y-coordinates correct to the nearest hundredth.y = ln(3x - 2)x2 + 3y2 = 7

A. x = 0.74, y = -1.47; x = 1.73, y = 1.16 B. x = 1.73, y = -1.16; x = 0.74, y = 1.47 C. x = 5.25, y = 2.62 D. x = 0.77, y = 1.46; x = -0.59, y = -1.49

Mathematics

Simplify. 

A.  
B.
C.
D. - 8

Mathematics

Find the requested area.Aunt Bea has won 9 blue ribbons for her apple pies at the State Fair. She wants to display them in a single row across a display case which is 32 inches wide. She wants to have  inch between the ribbons, and center the display in the case. If each ribbon is  inches wide, how wide will the border on each side be?

A. 4 in.
B. 4 in.
C. 4 in.
D. 4 in.

Mathematics

Establish the identity.sin(x + y) - sin(x - y) = 2 cos x sin y

What will be an ideal response?

Mathematics