Graph the system of inequalities.y ? (1/3)xy ? 8
A.
B.
C.
D.
Answer: A
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Solve.The perimeter of a rectangle is 62 feet. Describe the possible length of a side if the area of the rectangle is not to exceed 198 square feet.
A. The length of the shortest side cannot exceed 22 feet. B. The length of the shortest side must be at least 9 feet. C. The length of the shortest side cannot exceed 9 feet. D. The length of the shortest side must be at least 22 feet.
Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse.f(x) = -7x - 4
A. f(x): D is all real numbers, R = {y|y > -4}; f-1(x): D is all real numbers, R = {y|y < -4} B. f(x): D = {x|x > -7}, R = {y|y > -4}; f-1(x): D = {x|x < -7}, R = {y|y < -4} C. f(x): D is all real numbers, R is all real numbers; f-1(x): D is all real numbers, R is all real numbers D. f(x): D = {x|x > -7}, R is all real numbers; f-1(x): D = {x|x < -7}, R is all real numbers
Verify the identity.cot3 x = cot x (csc2 x - 1)
What will be an ideal response?
Find the equation that the given graph represents and give the domain, range, and interval(s) over which the function is increasing and decreasing.
A. P(x) = -x4 + x2 - 3x - 4; domain: (-?, ?); range: (-?, ?); Increasing over [-.34, .76]; Decreasing over (-?, -.34] and [.76, ?) B. P(x) = 2x3 + x2 - 3x + 4; domain: (-?, ?); range: (-?, ?); Increasing over (-?, -.86] and [.57, ?); Decreasing over [-.86, .57] C. P(x) = 2x4 - x2 + 4; domain: (-?, ?); range: (-?, ?); Increasing over (-?, .57]; Decreasing over (-?, .57] and [.86, ?) D. P(x) = -x3 - x - 4; domain: (-?, ?); range: (-?, ?); Increasing over (-?, -.34] and [.76, ?); Decreasing over [-.34, .76]