Let the universe for both variables x and y be the set {2, 4, 6, 8, 10}. Let p(x,y) = "4 divides the sum x + y". Give the truth value of the indicated statement; explain your answer, and give a counterexample in case the statement is false.?x ?y p(x, y)

What will be an ideal response?


True; for x = 2, 4, 6, 8, 10, choose y=10, 8, 6, 4, 2 .respectively.

Mathematics

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The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists.

A. x = -2, y =4, z = -1 B. x = 4, y = -2, z = -1 C. x = -2, y = -1, z = 4 D. x = 4, y = -1, z = -2

Mathematics

Provide an appropriate response.The exact area of the region bounded by the graphs of y = x2 - 5 and y = 2x + 3 is

A. 24 sq units.
B.  sq units.
C.  sq units.
D. 60 sq units.
E. 36 sq units.

Mathematics

Classify the polygon by name.

A. nonagon B. dodecagon C. octagon D. decagon

Mathematics

Solve the equation or inequality graphically. Express solutions or endpoints of intervals rounded to the nearest hundredth, if necessary.- ? -x - 4

A. (-?, 1.67] ? [13, ?) B. (-?, -13] ? [-1.67, ?) C. [-1.67, -13] D. [1.67, 13]

Mathematics