F(x)=2x
I would write that since x represents the weeks and we know that she watches two movies a week
I'll go by boxes (top statement box is #1, top reason box is #2, etc.)
If you don't have enough boxes, you can omit (remove) the first 2 I wrote, which is the given
1. 8y = 9x - 14; y = 5
2. Given
3. 8(5) = 9x - 14
4. Substitution
5. 40 = 9x - 14
6. Simplification (or multiplication)
7. 54 = 9x
8. Additive property of equality
9. 6 = x
10. Division property of equality
11. x = 6
12. Symmetrical property of equality
Hope this helps (:
The answer is infinetely many solutions.
6+6=6+6
12=12
This will generate a line quickly dropping from left to right, with an x-intercept of 0.4 and a y-intercept of 2.
See the attached image for the actual graph.
First write out all the two digit square numbers
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
Next divide all of them by 7
16/7 = 2 2/7 or 2 and 2 remainders
25/7 = 3 4/7 or 3 and 4 remainders
36/7 = 5 1/7 or 5 and 1 remainder
49/7 = 7
64/7 = 9 1/7 or 9 and 1 remainder
81/7 = 11 4/7 or 11 and 4 remainders
This tells us that the only possible remainders for a two digit square number divided by 7 are 1, 2 and 4
If Doris got 6 and Horace got 3, they must have made a mistake.
