First rewrite the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts.f(x) = 3x2 + 8x + 2Give your answers in exact form.

A. x-intercepts:  and ; y-intercept: 0
B. x-intercepts:  and ; y-intercept: 2
C. x-intercepts:  and ; y-intercept: 2
D. x-intercepts:  and ; y-intercept: 0


Answer: C

Mathematics

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Simplify the complex rational expression.

A. 7 - a2
B.
C.
D.

Mathematics

Solve.Each month a gas station sells x gallons of gas at $1.92/gallon. The cost to the owner of the gas station for each gallon of gas is $1.32. The monthly fixed cost for running the gas station is $37,000. Write an equation that relates the monthly profit, in dollars, to the number of gallons of gasoline sold. Then use the equation to find the monthly profit when 75,000 gallons of gas are sold in a month.

A. P = 0.60x + 37,000; $82,000 B. P = 1.32x - 37,000; $62,000 C. P = 1.92x - 37,000; $107,000 D. P = 0.60x - 37,000; $8000

Mathematics

Choose the terminology that best classifies the given figure.

A. None of these B. Closed curve C. Simple closed curve D. Simple curve

Mathematics

Solve using Cramer's rule.-5x - 8z = -109 8x + 8y + 4z = 112-9x - 4y = -85

A. (9, -1, -8) B. (1, 8, 1) C. (10, -1, 8) D. (9, 1, 8)

Mathematics