Answer:
Step-by-step explanation:
To find the vertex, change the following equation into graphing form (vertex form)
(x-3)^2-4 - graphing form
The vertex is (3,-4) because you find the x intercept by doing the opposite of -3, and -4 is in the equation.
vertex=
(3,-4)
9514 1404 393
Answer:
(c) 5x and 3x, and 4 and 1
Step-by-step explanation:
Like terms have the same variable(s) to the same power(s).
The terms of this expression are ...
- x^3: variable x, power 3
- 5x: variable x, power 1
- -3x: variable x, power 1
- 3y: variable y, power 1
- 4: no variable
- -1: no variable
The like terms are {5x, -3x}, which have the x-variable to the first power, and {4, -1}, which have no variable.
Given:
There are given that the zeroes and degrees of the polynomial:

Explanation:
From the concept of a polynomial:
A polynomial has a as zero if and only if (x -a) is a factor of the polynomial.
Then,
From the given polynomial:

Then,

Final answer:
Hence, the polynomial is shown below:
It would take him 58.2 seconds to fill 14 glasses and it would take him 87.3 seconds to fill 21 glasses
He should take breaks every 15 minutes and he should also eat a healthy snack and drink lots of water