This is a very simple and easy problem. I'm not sure why you need someone else to solve it, but I hope this helps
a. Linear equation:
Let x be amount of movies rented
$8 + ($2.50 * x)
b.
$8 + ($2.50 * 10)
= $8 + $25.0
= $33
Answer:
Therefore values of a and b are
![a=3\ and\ b = 2](https://tex.z-dn.net/?f=a%3D3%5C%20and%5C%20b%20%3D%202)
Step-by-step explanation:
Rewrite
in the form
where a and b are integers,
To Find:
a = ?
b = ?
Solution:
..............Given
Which can be written as
![(\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%20coefficient%5C%20of%5C%20x%29%5E%7B2%7D%3D%28%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20-6%29%5E%7B2%7D%3D9)
Adding half coefficient of X square on both the side we get
...................( 1 )
By identity we have (A - B)² =A² - 2AB + B²
Therefore,
![x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D-6x%2B9%3Dx%5E%7B2%7D-2%5Ctimes%203%5Ctimes%20x%2B3%5E%7B2%7D%3D%28x-3%29%5E%7B2%7D)
Substituting in equation 1 we get
![(x-3)^{2}=2](https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%3D2)
Which is in the form of
![(x-a)^{2}=b](https://tex.z-dn.net/?f=%28x-a%29%5E%7B2%7D%3Db)
On comparing we get
a = 3 and b = 2
Therefore values of a and b are
![a=3\ and\ b = 2](https://tex.z-dn.net/?f=a%3D3%5C%20and%5C%20b%20%3D%202)
You subtract 11 from 19 and then the answer is 8
Answer:
824.65
Step-by-step explanation:
Answer:
b. (-3, -2)
explanation:
it's the only point inside the colored area.