Find the constant of proportionality k, and write the linear function relating the two variables.Suppose that y is directly proportional to x. When x = 20, then y = 8.
A. k = ; y =
x
B. k = ; y =
x
C. k = 4; y = 4x
D. k = -12; y = x - 12
Answer: A
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Use Newton's Law of Cooling to solve the problem.A dish of lasagna baked at 350°F is taken out of the oven into a kitchen that is 74°F. After 5 minutes, the temperature of the lasagna is 312.7°F. What will its temperature be 20 minutes after it was taken out of the oven? Round your answer to the nearest degree.
A. 235°F. B. 224°F. C. 218°F. D. 229°F.
Determine the equation of the horizontal asymptote for the graph of this function, and state the domain and range of this function.f(x) = x - 4
A. Horizontal asymptote: y = 0;
Domain: (-?, ?), Range: (0, ?)
B. Horizontal asymptote: y = ;
Domain: (-?, ?), Range:
C. Horizontal asymptote: y = 4;
Domain: (-?, ?), Range: (4, ?)
D. Horizontal asymptote: y = -4;
Domain: (-?, ?), Range: (-4, ?)
Factor the trinomial completely.8y2 + 36y - 20
A. (2y - 1)(4y + 20) B. 4(2y + 1)(y - 5) C. (8y - 4)(y + 5) D. 4(2y - 1)(y + 5)
Determine whether the graph is the graph of a function.
A. function B. not a function