Answer:
Answer in explanation section
Step-by-step explanation:
8(2x-14)+13=4x-27. Given
16x-112+13=4x-27. Distributive property
16x-99=4x-27. Simplify
14x-99=-27. subtract
14x=72. Subtract
x=36/7. Divide to get x
Answer: There are 135 squares that will be in the completed quilt and No, the product change of you does not change the grouping of factors.
Step-by-step explanation:
Since we have given that
Number of sections = 3
Number of rows in each sections = 3
Number of square pieces in each row = 15
So, the number of squares that will be in the completed quilt would be

Hence, there are 135 squares that will be in the completed quilt and No, the product change of you does not change the grouping of factors.
Viewing the two equations (by graphing them), we can see that the y axis is the vertical one and the x axis is the horizontal one. If something were to be reflected over the y axis, it would be flipped around x=0 and the x value of every point would be multiplied by -1. If it was reflected over the x axis (y=0), every y value would be multiplied by -1. Taking two points that have the same absolute values, e.g. (-1, 0) and (1, 0) (by absolute values I mean that (|-1|, |0|)=(|1|, |0|)=(1, 0)) we can see that -1*-1=1 and 1*-1=-1. Since they are the x values, it is reflected across the y axis - you are correct!
The additive inverse of something is the number that, if you add it to the original number, you get 0.
The additive inverse of 5, for example, is -5. 5 plus -5 = 0.
You should be able to see how additive inverses are always going to be just the original number with the signs changed. (i.e., times -1)
The additive inverse of -4a would be 4a. -4a + 4a = 0.
68 containers because 8.5 * 8 is 68