Provide an appropriate response.Solve the equation
for x. If y is positive and b is positive, what, if anything, can you determine about the signs of the solutions? Explain your reasoning.
What will be an ideal response?
or
. Since b is positive, the first term in the numerator is negative. Since y is positive, the radicand is greater than b2 and the square root is, thus, greater than b. Therefore, the sign of the first solution is positive and the sign of the second is negative.
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Solve the problem.The position of a weight attached to a spring is s(t) = -9 cos 12?t inches after t seconds. What is the maximum height that the weight reaches above the equilibrium position and when does it first reach the maximum height?
A. The maximum height of 9 inches is first reached after 6 seconds. B. The maximum height of 18 inches is first reached after 3 seconds. C. The maximum height of 18 inches is first reached after 6 seconds. D. The maximum height of 9 inches is first reached after 0.08 seconds.
Solve the problem.The revenue from the sale of a product is given by R = 1408x - 17x2 - x3. If the sale of 11 units gives a total revenue of $12,100, find another number of units that will give $12,100 in revenue.
A. 27 units B. 12 units C. 50 units D. 22 units
Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function.f(x) = 5x8 + 4x6 + 8x4 + 9x2 + 7
A. 4 positive; 4 negative B. 0 positive; 0 negative C. 0 positive; 4 negative D. 4 positive; 0 negative
Solve the inequality. >
A. (-5, 1) or (3, ?) B. (-?, -5) or (1, 3) C. (-5, 1) or (1, 3) D. (-?, -5) or (3, ?)