Answer:
b.20
Step-by-step explanation:
brainliest please
<em>The function uses W as the variable but the options show only x's as the variable, so I'm asumming W in the answer</em>
Answer:
0 < W < 50
Correct option: A
Step-by-step explanation:
<u>Domain of functions</u>
Some functions have restricted values of the independent variable x. It can be due to mathematical restrictions, like dividing by 0 or taking the square root of a negative number, of it can be due to practical conditions of the situation being modeled.
In this case, the area of a rectangle is given by the quadratic function.
![A=50W - W^2](https://tex.z-dn.net/?f=A%3D50W%20-%20W%5E2)
Since the area of a rectangle cannot be negative (and should be positive, though it could be zero), the practical domain of A is determined when
![50W - W^2\geq 0](https://tex.z-dn.net/?f=50W%20-%20W%5E2%5Cgeq%200)
Taking common factor W
![W(50 - W)\geq 0](https://tex.z-dn.net/?f=W%2850%20-%20W%29%5Cgeq%200)
Since W must be positive W>0
![50 - W\geq 0](https://tex.z-dn.net/?f=50%20-%20W%5Cgeq%200)
Or equivalently
![50 \geq W](https://tex.z-dn.net/?f=50%20%5Cgeq%20W)
![W \leq 50](https://tex.z-dn.net/?f=W%20%5Cleq%2050)
The total interval is
![0 < W](https://tex.z-dn.net/?f=0%20%3C%20W%3C50)
Correct option: A
Please note: The real restriction should be
![0 < W\leq 50](https://tex.z-dn.net/?f=0%20%3C%20W%5Cleq%2050)
if we allowed the area to be positive, but I'm providing the most possible correct available option
Answer:
5a. Tip was 17.65%
5b. Total was $35.4
Step-by-step explanation:
5a.
Create the following equation:
17 + 17x = 20
17x = 3
x = 3/17
5b.
Find 18% of 30.
30 x 0.18 = 5.4
Add 5.4 to 30.
30 + 5.4 = 35.4
Answer:
-8
Step-by-step explanation:
When you factor, you just find two numbers that add to be the first number (16) and multiply to be the second number (64). 8 and 8 both do this. So when we factor, we also add the variable into each equation because it also has been divided into two equations, and we get: (p + 8)(p +8). Notice that the equations are "+8" and not "-8" because two +8s add to give us a +16 and multiply to give us a +64. After that, we just solve the two equations to find the solutions. Subtract 8 from each equation (we do the opposite operation because 8 is positive) to get -8. Because the answer for each equation is the same our answer is -8.