Solve the problem using the elimination method.The sum of two numbers is 52. The second number is three times as large as the first number. What are the numbers?

A. 11 and 41
B. 11 and 33
C. 10 and 42
D. 13 and 39


Answer: D

Mathematics

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Evaluate the expression.(-2)0

A. 0 B. 1 C. -2 D. -1

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The orbit of Hale-Bopp comet, discovered in 1995, is an ellipse with eccentricity 0.995 and one focus at the Sun. The length of its major axis is 366.5 AU. [An astronomical unit (AU) is the mean distance between Earth and the Sun, about 93 million miles.] Find the maximum distance from the comet to the Sun. (The perihelion distance from a planet to the Sun is a(1-e) and the aphelion distance is a(1+e).) Find the answer in AU and round to the nearest hundredth.

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Evaluate the function for the given value.Given f(x) = x + 7, find f(-3).

A. - 
B.
C.
D. 0

Mathematics

Provide an appropriate response.Find y' if ln(xy) + y = 2.

Fill in the blank(s) with the appropriate word(s).

Mathematics