Provide an appropriate response.Tina was asked to solve the following problem: "The product of two consecutive numbers is 90. Find the numbers." Tina's solution is given below. Do you agree with her conclusion? If not, why not? x(x + 1) = 90x2 + x = 90x2 + x - 90 = 0(x + 10)(x - 9) = 0x = -10 or x = 9The pair of numbers is 9 and 10
What will be an ideal response?
There is nothing in the problem to suggest that the two numbers must be positive thus there is no reason to discard the negative solution. There are two solutions: the pair of numbers is 9 and 10 or -10 and -9.
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Provide an appropriate response.Consider the curves corresponding to polar equations of the form 
where 
Explain how the graph changes as a changes. Identify any values of a for which the basic shape of the curve changes.
What will be an ideal response?
Factor the expression completely, if possible.49a3b + 42a2b + 9ab
A. ab(7a + 3)(7a - 3) B. ab(7a - 3)2 C. ab(7a + 3)2 D. Does not factor
Factor when possible.y2 - 7y + 6
A. (y + 1)(y - 6) B. (y + 1)(y + 1) C. (y - 1)(y - 6) D. Prime
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.(logam - logan) + 4logak
A. loga
B. logamk4n
C. loga
D. loga