Add.(r + 5s - 3) + (5r + s) + (s - 3)
A. 6r + 7s - 6
B. 5r + 5s - 6
C. 6r + 6s - 6
D. 4r + 7s - 6
Answer: A
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Solve the following quadratic equation by completing the square. Make sure your answer is simplified completely. If there are no real solutions, so state.3x2 + 24x + 27 = 0
A. x = 4 - or x = 4 +
B. x = -4 +
C. no real solutions
D. x = -4 - or x = -4 +
Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme values, if any, are absolute.f(x) = , -5 ? x < 5
A. local and absolute minimum: 0 at x = -5; local and absolute maximum: 5 at x = 0 B. no local extrema; no absolute extrema C. local and absolute maximum: 0 at x = -5; local and absolute minimum: 5 at x = 0 D. local and absolute minimum: 0 at x = -5 and x = 5; local and absolute maximum: 5 at x = 0
At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve, as requested.y5 + x3 = y2 + 10x, tangent at (0, 1)
A. y = x + 1
B. y = 2x + 1
C. y = - 2x - 1
D. y = - x
Solve the problem.Find the the area of the rectangle shown in the figure. Write your answer in factored form.
A.
B.
C.
D.