Find the equation in standard form of the parabola whose graph is shown.
A. x = 2(y + 8)2
B. x = 2y2 - 8
C. x = -2y2 - 8
D. y = 2x2 - 8
Answer: B
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The graph below shows estimated world population for the period 4000 BC - 2000 AD. Note that the logarithm of the world population and not actual population is plotted on the vertical axis. This means, for example, that when the graph reaches 7 on the vertical scale, world population is 107 and when the graph reaches 9 on the vertical scale, world population is 109. Log World Population ? Year Use the graph to answer the question.Describe the general trend in world population during the period 2000 BC to the year 1 AD.
A. World population increases at a constant rate. B. World population is constant. C. World population increases at a faster and faster rate. D. World population increases at a slower and slower rate.
Calculate the slope of the line passing through the given points. If the slope is undefined, so state. Then indicate whether the line rises, falls, is horizontal, or is vertical.(7, 4), (2, 5)
A. , rises
B. - , falls
C. - 5, falls
D. 1, rises
Factor the sum or difference of cubes.27x12 + 8
A. (3x4 + 2)(9x8 - 2x4 + 4) B. (3x4 - 2)( 3x4 + 2) C. (3x4 - 2)(9x2 + 6x4 + 4) D. (3x4 + 2)(9x8 - 6x4 + 4)
Solve the problem.The cost to make a product is M(x,y) = 6x2 + 2y2 - 4xy + 50, where x is material cost, y is labor cost. The company spends $8 on materials and $9 on labor. Use the differential to estimate the change in cost if the company spends $13 on materials and $8 on labor.
A. $296 B. -$8 C. -$600 D. $600