Y=5(1.5)^x
I divided 16.875 by 7.5, which is 2.25 Since the multiplier was used twice, I found out the square root of 2.25, which is 1.5. So now we know that the multiplier is 5.
Then I divided 7.5 by 1.5 to get the initial value, since 7.5 is the value in the first spot. 7.5 divided by 1.5 is 5.
Multiplier = 1.5
Initial Value = 5
y=5(1.5)^x
Consider the equation
![-10x-y=-20](https://tex.z-dn.net/?f=-10x-y%3D-20)
1) First row of the table
Set x=0 and solve as follows:
![\begin{gathered} -10(0)-y=-20 \\ \Rightarrow-y=-20 \\ \Rightarrow y=20 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-10%280%29-y%3D-20%20%5C%5C%20%5CRightarrow-y%3D-20%20%5C%5C%20%5CRightarrow%20y%3D20%20%5Cend%7Bgathered%7D)
The answer is y=20 and the pair x-y is (0,20)
2) Second row
Set x=1 and solve, as follows:
![\begin{gathered} -10(1)-y=-20 \\ \Rightarrow-10-y=-20 \\ \Rightarrow-y=-10 \\ \Rightarrow y=10 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-10%281%29-y%3D-20%20%5C%5C%20%5CRightarrow-10-y%3D-20%20%5C%5C%20%5CRightarrow-y%3D-10%20%5C%5C%20%5CRightarrow%20y%3D10%20%5Cend%7Bgathered%7D)
The answers are y=10 and (1,10)
3) Third row.
Set y=0 and solve as follows:
![\begin{gathered} -10x-(0)=-20 \\ \Rightarrow-10x=-20 \\ \Rightarrow x=\frac{20}{10}=2 \\ \Rightarrow x=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-10x-%280%29%3D-20%20%5C%5C%20%5CRightarrow-10x%3D-20%20%5C%5C%20%5CRightarrow%20x%3D%5Cfrac%7B20%7D%7B10%7D%3D2%20%5C%5C%20%5CRightarrow%20x%3D2%20%5Cend%7Bgathered%7D)
The answers are x=2 and (2,0)
Add 4 to the whole equation
-10 + 4 < 2x < 8 + 4
Simplify
-6 < 2x < 12
Divide the whole equation by 2
-6/2 < x < 12/2
Simplify
<u>-3 < x < 6</u>
Answer:
Step-by-step explanation:
If M s the mid point of the line XY, then XM+MY = XY and XM= MY
Given
XM = 2x+7
MY = 8x-23
Since XM = XY, then;
2x+7 = 8x - 23
2x-8x = -23-7
-6x = -30
x = -30/-6
x = 5
Get XM
XM = 2x+7
XM = 2(5)+7
XM = 10+7
XM = 17
Get MY:
MY = 8x-23
MY = 8(5)-23
MY = 40-23
MY = 17
Since XY = XM+MY
XY = 17+17
XY = 34