Factor out the GCF from the polynomial.x(y + 11) + 2(y +11)

A. (xy + 11x) + (2y + 22)
B. 2x(y +11)
C. (y +11)(x + 2)
D. 11y(x + 2)


Answer: C

Mathematics

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Solve.Suppose economists use as a model of a country's economy the function N(x) = 0.7478x + 6.0802,where N represents the consumption of products in billions of dollars and x represents disposable income in billions of dollars.  a. Identify the dependent and independent variables.b.  Evaluate N(9.52)and explain what it represents.

A. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars.  b. N(9.52) = $4.4 billion; According to the model, the number of billions of dollars for the consumption of products is $4.4 billion. B. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars.  b. N(9.52) = $4.6 billion; According to the model, the number of billions of dollars for the consumption of products is $4.6 billion. C. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars.  b. N(9.52) = $13.2 billion; According to the model, the number of billions of dollars for the consumption of products is $13.2 billion. D. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars.  b. N(9.52) = $5.2 billion; According to the model, the number of billions of dollars for the consumption of products is $5.2 billion.

Mathematics

Solve the problem.There are 3 cards in a hat; one is a king, one is a queen, and one is an ace. Two cards are to be selected at random without replacement. Using a tree diagram , obtain the sample space for the experiment. Then, find the probability that a king and a queen are selected.

A.
B. 0
C.
D.

Mathematics

Provide an appropriate response.The value of an asset at the end of its estimated life is known as:

A. accumulated depreciation B. salvage value C. total cost D. original cost

Mathematics

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = x2

A.

B.

C.

D.

Mathematics