Answer:
2 days
Step-by-step explanation:
Use the given formula
y = 5x + 4
The information:
y is the money spent
x is the number of days
It is known that Justin spent $18
so now just substitute in that value
$18 = 5x + 4
and simplfiy by inverse operations
18 = 5x + 4
-4 -4
14 = 5x
/5 /5
2.8 = x
As per this problem, one can infer that renting a game is done by days, and will be charged in days, hence renting a game for 0.8 days is pointless
meaning that the final answer is 2 full days
In order to change a fraction into a decimal you must divide the numerator by the decimal so divide 1 by 8 and so as you go through the equation you get a decimal number because 8 cannot go into 1 of course.
Answer: 0.125 is the amount you ate in decimal form
4
I HAVE TO WRITE STUFF OR ELSE IT WON;T LET ME POST YOUR ANSWER IS 4
ANSWER
(-3,3)
EXPLANATION
The given function is
![y + 2x + 3 = - (x + 2) ^{2} + 1](https://tex.z-dn.net/?f=y%20%2B%202x%20%2B%203%20%3D%20-%20%28x%20%2B%202%29%20%5E%7B2%7D%20%2B%201)
Expand
![y + 2x + 3 = - x ^{2} - 4x - 4 + 1](https://tex.z-dn.net/?f=y%20%2B%202x%20%2B%203%20%3D%20-%20x%20%5E%7B2%7D%20-%204x%20-%204%20%2B%201)
Rewrite in the form:
![y =a {x}^{2} + bx + c](https://tex.z-dn.net/?f=y%20%3Da%20%7Bx%7D%5E%7B2%7D%20%2B%20bx%20%2B%20c)
This implies that,
![y = - x ^{2} - 4x - 2 x - 4 + 1 - 3](https://tex.z-dn.net/?f=y%20%3D%20-%20x%20%5E%7B2%7D%20-%204x%20-%202%20x%20-%204%20%2B%201%20-%203)
![y = - {x}^{2} - 6x - 6](https://tex.z-dn.net/?f=y%20%3D%20-%20%7Bx%7D%5E%7B2%7D%20-%206x%20-%206)
Complete the square to get,
![y = - ( {x}^{2} + 6x) - 6](https://tex.z-dn.net/?f=y%20%3D%20-%20%28%20%7Bx%7D%5E%7B2%7D%20%2B%206x%29%20-%206)
![y = - ( {x}^{2} + 6x + {(3)}^{2} ) - - {(3)}^{2} - 6](https://tex.z-dn.net/?f=y%20%3D%20-%20%28%20%7Bx%7D%5E%7B2%7D%20%2B%206x%20%2B%20%7B%283%29%7D%5E%7B2%7D%20%29%20-%20-%20%7B%283%29%7D%5E%7B2%7D%20-%206)
![y = - {(x + 3)}^{2} +9 - 6](https://tex.z-dn.net/?f=y%20%3D%20-%20%7B%28x%20%2B%203%29%7D%5E%7B2%7D%20%2B9%20-%206)
![y = - {(x + 3)}^{2} +3](https://tex.z-dn.net/?f=y%20%3D%20-%20%7B%28x%20%2B%203%29%7D%5E%7B2%7D%20%2B3)
The function is now in the form:
![y = a {(x - h)}^{2} +k](https://tex.z-dn.net/?f=y%20%3D%20a%20%7B%28x%20-%20h%29%7D%5E%7B2%7D%20%2Bk)
where (h,k) =(-3,3) is the vertex