The given point is on the graph of y = f(x). Find a point on the graph of y = g(x).g(x) = f(x) + 1; (5, 12)

A. (5, 14)
B. (5, 17)
C. (5, 13)
D. (5, 11)


Answer: C

Mathematics

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For trapezoid HJKL, . It follows that:

A. and are the legs of HJKL.
B. and are the legs of HJKL.
C. and are the bases of HJKL.
D. None of These

Mathematics

Find an equation y = mx + b that models the quantity y after x units of time.A quantity y is initially 10 and decreases at a rate of 21 per day.

A. y = -10x - 21 B. y = -21x - 10 C. y = -10x + 21 D. y = -21x + 10

Mathematics

Determine if the vertex of the graph is a maximum point or a minimum point.y = -(x + 1)2

A. Maximum B. Minimum

Mathematics

The productivity of a South American country is given by the function  when x units of labor and y units of capital are used. What is the marginal productivity of labor and what is the marginal productivity of capital when the amounts expended on labor and capital are 288 units and 18 units, respectively? Should the government encourage capital investment rather than increased expenditure on labor at this time in order to increase the country's productivity? Please answer yes or no. ?

A. The marginal productivity of labor is 10.  The marginal productivity of capital is 160.The government should have encouraged increased spending on labor rather than on capital.? B. The marginal productivity of labor is 7.5.  The marginal productivity of capital is 40.The government should not have encouraged increased spending on capital rather than on labor.? C. The marginal productivity of labor is 10.  The marginal productivity of capital is 160.The government should have encouraged increased spending on capital rather than on labor.? D. The marginal productivity of labor is 7.5.  The marginal productivity of capital is 40.The government should have encouraged increased spending on capital rather than on labor.?

Mathematics