Well, we can denote L and W for the length and width respectively. Lets say the A is the area, we have: 1. A=(L × W) as well as 2. 2(L+W)=400. We rearrange the second equation to get 3. W=200-L. From this, we can see that 0<L<200. Substitute the third equation into the first to get A=(200L-L²). put this formula into the scientific calculator and you will find a parabola with a maximum. That would be the maximum area of the enclosed area. Alternatively, we can say that L is between 0 and 200 when the area equals 0. (The graph you find will be area against length). As the maximum is generally found halfway, we substitute 100 into the equation and we end up with 10000.
Hope this helps.
Answer:
To reflect a graph, f(x) over the x-axis, you take -f(x).
So if f(x)=x^2, then -f(x) is -x^2.
Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.
Step-by-step explanation:
Answer:
w = 0 , -3 , 3
Step-by-step explanation:
w³ - 9w = 0
w(w² - 9) = 0
w(w² - 3²) = 0
w(w+3)(w-3) = 0 {a² - b² = (a + b)(a - b) }
w = 0 ; w + 3 = 0 ; w - 3 = 0
w = -3 ; w = 3
w = 0 , -3 , 3
Answer:
The total change in water level over the past 2 years is
.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Fractions
Numbers
- Least Common Multiple (LCM)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Year 1 water change: ![\displaystyle -2 \frac{1}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-2%20%5Cfrac%7B1%7D%7B3%7D)
Year 2 water change: ![\displaystyle -1 \frac{5}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-1%20%5Cfrac%7B5%7D%7B6%7D)
<u>Step 2: Find Total Water Change</u>
- [Set up] Add yearly water changes:
![\displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-2%20%5Cfrac%7B1%7D%7B3%7D%20%2B%20-1%20%5Cfrac%7B5%7D%7B6%7D)
- [Fractions] Convert to improper:
![\displaystyle \frac{-7}{3} - \frac{11}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B-7%7D%7B3%7D%20-%20%5Cfrac%7B11%7D%7B6%7D)
- [Fraction] Rewrite [LCM]:
![\displaystyle \frac{-14}{6} - \frac{11}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B-14%7D%7B6%7D%20-%20%5Cfrac%7B11%7D%7B6%7D)
- [Order of Operations] Subtract:
![\displaystyle \frac{-25}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B-25%7D%7B6%7D)
- [Fraction] Convert to proper:
![\displaystyle -4 \frac{1}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-4%20%5Cfrac%7B1%7D%7B6%7D)