Provide an appropriate response.Verify that the following data points give constant second differences. Does this guarantee that the points fit exactly on a quadratic function? Why or why not?
What will be an ideal response?
No; Since the x-values are not equally spaced, constant second differences do not guarantee a quadratic function.
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Factor completely.12x3 + 25x2 + 12x
A. (12x2 + 3)(x + 4) B. x(12x + 1)(x + 12) C. x(4x - 3)(3x - 4) D. x(4x + 3)(3x + 4)
Use rational equations to solve the problems.A computer is on sale for 20% off. If the discount amount is $280.58, then what is the initial price?
A. $2,402.88 B. $2,902.88 C. $902.88 D. $1,402.88
Solve.During an intramural basketball game, Team A scored 13 fewer points than Team B. Together, both teams scored a total of 145 points. How many points did Team A score during the game?
A. 72 points B. 66 points C. 67 points D. 79 points
Solve the problem.Four boys and three girls are seated, in a row, at random, to watch a play. What is the probability thata) a girl is seated at each end of the row?b) one of the boys is seated in the middle seat?c) boys and girls are seated alternately?
A. a) b)
c)
B. a) b)
c)
C. a) b)
c)
D. a) b)
c)