Answer:
y = (x+4)^2 +13
Step-by-step explanation:
y=x^2+8x+29
To complete the square take the coefficient of the x term
8
Divide by 2
8/2 =4
Then square it
4^2 =16
y=x^2+8x+16+13
= (x^2+8x+16) +13
= (x+4)^2 +13
Answer:
Step-by-step explanation:
i dont know the exact answer ..but i know that the hours would be a larger number and first you need to find out how many ours 1 pump takes so you do 3 divided by 7 which on the calculator its 0.4...
after this you times it but i dont know by what
Answer:
The ranges of value of k are values larger than 0 and lower than 16.
Step-by-step explanation:
Suppose we have a second order polynomial in the following format:
![ax^2 + bx + c = 0, a \neq 0](https://tex.z-dn.net/?f=ax%5E2%20%2B%20bx%20%2B%20c%20%3D%200%2C%20a%20%5Cneq%200)
It will have no roots if:
![\Delta = b^2 - 4ac < 0](https://tex.z-dn.net/?f=%5CDelta%20%3D%20b%5E2%20-%204ac%20%3C%200)
In this question, we have that:
![hx^2 + hx - 4 = 0](https://tex.z-dn.net/?f=hx%5E2%20%2B%20hx%20-%204%20%3D%200)
So, the coefficients are:
![a = h, b = h, c = -4](https://tex.z-dn.net/?f=a%20%3D%20h%2C%20b%20%3D%20h%2C%20c%20%3D%20-4)
Then
![\Delta < 0](https://tex.z-dn.net/?f=%5CDelta%20%3C%200)
![b^2 - 4ac < 0](https://tex.z-dn.net/?f=b%5E2%20-%204ac%20%3C%200)
![h^2 - 16h < 0](https://tex.z-dn.net/?f=h%5E2%20-%2016h%20%3C%200)
A quadratic function, with a positive(as is 1 in this inequality), will be negative between it's roots.
The roots are:
![h^2 - 16h = 0](https://tex.z-dn.net/?f=h%5E2%20-%2016h%20%3D%200)
![h(h - 16) = 0](https://tex.z-dn.net/?f=h%28h%20-%2016%29%20%3D%200)
So
h = 0 or h = 16.
The ranes of value of k are values larger than 0 and lower than 16.