Solve the problem.Find k such that the line -kx + 5y = 4 is parallel to the line through (5, -8) and (2, 4).

A. k = -19.5
B. k = -19
C. k = -22
D. k = -20


Answer: D

Mathematics

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For the given function f(x), find a bound for the indicated remainder term on the given interval.f(x) = (1 + x)-3; R2; a = 0; [-0.5, 0.5]

A. 48.0000 B. 80.0000 C. 0.1097 D. 1.3333

Mathematics

Use the counting principle to obtain the answer.A saleswoman packed 3 jackets and 6 skirts. With one jacket, she could wear all 6 skirts. With another jacket, she could wear 5 skirts. With the third jacket, she could wear only 2 skirts. How many different combinations did she have?

A. 13 B. 60 C. 12 D. 32

Mathematics

The volume V (in liters) of a certain mass of gas is related to its pressure P (in millimeters of mercury) and its temperature T (in degrees Kelvin) by the law

? ? Compute  and  when T = 260 and P = 700. ? A.

The volume increases by 0.044 L when the temperature decreases by 1 degree (beyond 260 K) and the pressure is fixed at 700 mm of mercury. The volume decreases by 0.016 L when the pressure increases by 1 mm of mercury (beyond 700 mm) and the temperature is fixed at 260 K.

?


B.

The volume increases by 0.044 L when the temperature increases by 1 degree (beyond 260 K) and the pressure is fixed at 700 mm of mercury. The volume decreases by 0.016 L when the pressure increases by 1 mm of mercury (beyond 700 mm) and the temperature is fixed at 260 K.

?


C.

The volume increases by 0.044 L when the temperature increases by 1 degree (beyond 260 K) and the pressure is fixed at 700 mm of mercury. The volume increases by 0.016 L when the pressure increases by 1 mm of mercury (beyond 700 mm) and the temperature is fixed at 260 K.

?


D. ?

The volume increases by 0.044 L when the temperature increases by 1 degree (beyond 260 K) and the pressure is fixed at 700 mm of mercury. The volume increases by 0.016 L when the pressure increases by 1 mm of mercury (beyond 700 mm) and the temperature is fixed at 260 K.

?


Mathematics

Graph the function. State whether it is increasing, decreasing, or constant..h(x) = -2x + 3

A. increasing

B. decreasing

C. increasing

D. decreasing

Mathematics