Write the equation in the form y = a(x - h)2 + k or x = a(y - k)2 + h and then graph the equation.y = 4x2 - 32x + 61

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Answer: C

Mathematics

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Solve the inequality and graph the solution on the real number line. ? ?

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Mathematics

Simplify, then write in descending order.-4m8 + 5m3 - 9m2 + 9m8 - 15m3

A. 5m8 + 10m3 - 9m2 B. 5m8 - 10m3 - 9m2 C. 5m8 - 10m3 + 9m2 D. 24m13

Mathematics

Suppose a certain economy's consumption function is , where C(x) and x are measured in billions of dollars. Find the marginal propensity to consume (the rate of change of consumption with respect to income, ) when

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Mathematics

Provide an appropriate response.Suppose that you start a business manufacturing and selling computers, and it costs you $10,924 to get started. You determine that each computer will cost $707 to manufacture and you choose to sell each for $1584. Form a system from two equations, assuming  that is,  and then solve the system. Round to the nearest whole number.

A. y1 = 10,924x + 707 y2 = 1584x; (0, 131,795) B. y1 = 707x + 10,924 y2 = 1584x; (12, 19,408) C. y1 = 10,924x + 707 y2 = 1584x (0, 130,381) D. y1 = 707x + 10,924 y2 = 1584x; (10, 17,994)

Mathematics