The vertex of a parabola occurs where the derivative of its equation is 0, so an equation associated with the equation of a parabola can be solved to find the x-coordinate of the vertex. Find the vertex of the parabola, given the equation of the parabola and its associated equation.Equation of parabola: f(x) = -(7 + 8x + 3x2); associated equation: 0 = -8 - 6x

A.
B.
C.
D.


Answer: C

Mathematics

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Graph the curve.r = 2 + 3 cos ? (limacon with a loop)

A.

B.

C.

D.

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Solve.A ball is dropped from a height of 25 feet. Each time it strikes the ground, it bounces up to 0.7 of the previous height. The total distance the ball has traveled before the second bounce is  feet, and the total distance the ball has traveled before bounce n + 1 is 25 + feet.Use facts about infinite geometric series to calculate the total distance the ball has traveled by the time it has stopped bouncing.

A. 141 feet
B. 140 feet
C. 144 feet
D. 141 feet

Mathematics

Verify the identity. =  

What will be an ideal response?

Mathematics

Find the exact value of the expression. Do not use a calculator.cos 60° + tan 60°

A. 2
B.
C.
D.

Mathematics