Answer BOTH questions and show your work (either type out your steps, use the writing tool or upload a picture of your work): Part A: IF (x) = 3(x + 6), find f(x) = 24. (5 points)
Part B: Solve for x and graph your solution on a number line or describe the solutions for x:
2(x-4) > 4x - 18
(5 points)

9514 1404 393

  A: x = 2

  B: x < 5

Step-by-step explanation:

Part A:

Substitute the given value and solve for x.

  f(x) = 3(x +6)

  24 = 3(x +6)

  8 = x +6 . . . . . . divide by 3

  2 = x . . . . . . . . . subtract 6

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Part B:

Eliminate parentheses, solve the 3-step inequality.

  2(x -4) > 4x -18

  2x -8 > 4x -18

  -8 > 2x -18 . . . . . . . subtract 2x

  10 > 2x . . . . . . . . . . add 18

   5 > x . . . . . . . . . . . divide by 2

The solutions for x include any value less than 5.

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!