Answer:
?=38
average rate of change =3 (on the way they partitioned the x's)
Step-by-step explanation:
This is a line because it has the same rise/run (
) per pair of points.
That is, the following are equal:
The slope (also called the rate of change) is 3.
This means the calculating of the last pair of points should have the same rise/run.
That is we should have:
Multiply both sides by 4:
Add 26 on both sides:
The greatest length is the gcf of 52 and 64.
52 = 2 x 2 x 13
64 = 2 x 2 x 2 x 2 x 2 x 2
gcf = 2 x 2 = 4
Therefore, the greatest length of the pieces that can be made = 4 inches
Answer:
Part A is 7/16 of the whole
Part B is 9/16 of the whole
Solution:
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 14 + 18 = 32
Part A = 14 and Part B = 18 are numerators for each fraction.
The fractions are then:
14/32 and 18/32
Meaning:
Part A is 14/32 of the whole
Part B is 18/32 of the whole
Reducing the fractions, it is also true that:
Part A = 7/16 of the whole
Part B = 9/16 of the whole
In the second equation:
Subtract 8x from both sides.
2z = 22 - 8x
Divide 2 on both sides.
z = 11 - 4x
Plug this into the first equation.
-66 - 2(11 - 4x) = -196
-66 - 22 + 8x = -196
Combine like terms.
-88 + 8x = -196
Add 88 to both sides.
8x = -108
Divide 8 on both sides.
x = -13.5
Put this into the second equation.
8(-13.5) + 2z = 22
-108 + 2z = 22
Add 108 to both sides.
2z = 130
Divide 2 on both sides.
z = 65
and
x = -13.5
Hope this helps!
