Answer:
110
Step-by-step explanation:
y = 11/6x where x is in minutes
there are 60 minutes in an hour
plug in 60 as x
11/6 *60 = 11*10 = 110
The degree of a polynomial is the highest power of the polynomial.
The polynomial is ![\mathbf{P(x) = (x + 3)^4}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%28x%29%20%3D%20%28x%20%2B%203%29%5E4%7D)
The degree is given as:
![\mathbf{n = 4}](https://tex.z-dn.net/?f=%5Cmathbf%7Bn%20%3D%204%7D)
The zero is given as:
![\mathbf{x = -3}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%20%3D%20-3%7D)
Add 3 to both sides
![\mathbf{x + 3= 0}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%20%20%2B%203%3D%200%7D)
From the question, we understand that the polynomial has a single zero.
So, the polynomial is:
![\mathbf{P(x) = (x + 3)^n}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%28x%29%20%3D%20%28x%20%2B%203%29%5En%7D)
Substitute 4 for n
![\mathbf{P(x) = (x + 3)^4}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%28x%29%20%3D%20%28x%20%2B%203%29%5E4%7D)
Hence, the polynomial is ![\mathbf{P(x) = (x + 3)^4}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%28x%29%20%3D%20%28x%20%2B%203%29%5E4%7D)
Read more about polynomials at:
brainly.com/question/11536910
Answer:
6hours
Step-by-step explanation:
From the given information:
Suppose it took Karl x hours to retile her bathroom,
Then it will take Della 3 hours longer i.e (3+x) hours
If Della and Karl work together or will take them 2 hours
The objective is to determine how long it will take Delia to retile the bathroom alone?
∴
![\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bx%7D%2B%5Cdfrac%7B1%7D%7B3%2Bx%7D%3D%20%5Cdfrac%7B1%7D%7B2%7D)
![\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%2B3%2Bx%7D%7Bx%283%2Bx%29%7D%3D%20%5Cdfrac%7B1%7D%7B2%7D)
![\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%2B3%7D%7B3x%2Bx%5E2%7D%3D%20%5Cdfrac%7B1%7D%7B2%7D)
By cross multiplying, we have:
2(2x+3) = 3x+x²
4x + 6 = 3x + x²
3x + x² - 4x - 6
x² - x - 6 = 0
Using quadratic equation
x² -3x +2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x +2) (x - 3) = 0
x + 2 = 0 or x - 3 = 0
x = -2 or x = 3
Since we are concerned about the positive integer,
Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours