What number is a solution of the inequality x(7-x)>8

Step-by-step explanation:

The inequality can be put in vertex form.

  -x^2 +7x > 8

  x^2 -7x +3.5^2 < -8 +3.5^2 . . . . . multiply by -1, complete the square

  (x -3.5)^2 < 4.25  . . . .  show as a square

  |x -3.5| < √4.25  . . . .  take the square root

  -√4.25 < x -3.5 < √4.25 . . . . solve as absolute value problem

  3.5 -√4.25 < x < 3.5 +√4.25

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In the attached graph, the solutions are x-values between the x-intercepts of the graphed function.

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right