Provide an appropriate response.A student is trying to solve the equation (x + 9)(x - 6) = 6. The student has set x + 9 = 6 and x - 6 = 6 and found that two solutions x = -3, x = 12. The student checks his or her results by plugging in his or her solutions into the original equation and finds that they do not work. How would you advise him or her?
What will be an ideal response?
The equation needs to be set to zero in order to use the zero-factor theorem.
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Which of the following is a definition of a scalene triangle? ?
A. ?Has three sides of different lengths. B. ?Has at least two sides that are the same length. C. ?Has at least two sides that are different lengths. D. ?Has three sides that are all the same length. E. ?All three interior angles are of different measure. F. ?aand e are true.
Evaluate 
, where 
?
, 
?
__________
Fill in the blank(s) with the appropriate word(s).
Decide whether the pair of lines is parallel, perpendicular, or neither.3x - 8y = 2032x + 12y = -7
A. parallel B. perpendicular C. neither
Solve the problem.The function f(t) = -0.14t2 + 0.49t + 30.5 models the U.S. population in millions, ages 65 and older, where t represents years after 1990. The function g(t) = 0.54t2 + 12.06t + 107.2 models the total yearly cost of Medicare in billions of dollars, where t represents years after 1990. What does the function 
represent? Find 
(15).
A. Cost per person in thousands of dollars. $0.02 thousand B. Cost per person in thousands of dollars. $7.78 thousand C. Cost per person in thousands of dollars. $0.17 thousand D. Cost per person in thousands of dollars. $64.50 thousand