If possible, solve each system by an algebraic method (substitution or addition method). Otherwise, state that the problem has no solution or an infinite number of solutions.

A.
B.
C. infinite number of solutions
D. no solution


Answer: A

Mathematics

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Solve the problem.The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 6 units long. Express the area A of the rectangle in terms of x.

A. A(x) = 2x2 B. A(x) = 2x(3 - x) C. A(x) = 2x(x - 3) D. A(x) = x(3 - x)

Mathematics

Consider the differential equation. A detailed direction field is not needed. Find the solutions that are constant, for all  (the equilibrium solutions). In what regions are solutions increasing? Decreasing?y'(t) = y(y + 2)(6 - y)

A. y = -2, y = 6; increasing for -2 < y < 6; decreasing for y < -2, y > 6 B. y = 0, y = -2, y = 6; increasing for -2 < y < 0; decreasing for y < -2, y > 0 C. y = 0, y = -2, y = 6; increasing for y < -2, 0 < y < 6; decreasing for -2 < y < 0, y > 6 D. y = -2, y = 6; increasing for y < -2, 0 < y < 6; decreasing for -2 < y < 0, y > 6

Mathematics

Find the measure of the indicated angle in the figure.

A. 146° B. 56° C. 101° D. 136°

Mathematics

Simplify. Combine like terms if possible.4x - 8x + x

A. -5x B. -3x C. -3x3 D. -4x + x

Mathematics