The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by
![f_{\mathrm{AROC}[a,b]} = \dfrac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=f_%7B%5Cmathrm%7BAROC%7D%5Ba%2Cb%5D%7D%20%3D%20%5Cdfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
So for f(x) = x² on [1, 5], the AROC of f is
![f_{\mathrm{AROC}[1,5]} = \dfrac{5^2-1^2}{5-1} = \dfrac{24}4 = \boxed{6}](https://tex.z-dn.net/?f=f_%7B%5Cmathrm%7BAROC%7D%5B1%2C5%5D%7D%20%3D%20%5Cdfrac%7B5%5E2-1%5E2%7D%7B5-1%7D%20%3D%20%5Cdfrac%7B24%7D4%20%3D%20%5Cboxed%7B6%7D)
Well we know that he sold 20 glasses every hour. if h is the number of hours he worked we know the expression would be 20h
1 hr = 20 glasses
2 hr = 40 glasses
3 hr = 60 glasses
Keep the pattern going to figure out which hour he got his 100th glass sold.
Answer:
Okay so 5th power of 2 Plus second power of 2 minus 3rd power of 3
Answer:
amount spend on groceries = 82.80
percent spend in groceries = 15%
let total paycheck be x
15%of x= 82.80
x=552
percent spend on bills = 132.48/552 = 24%
Step-by-step explanation:
Answer:
g= -5
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
84-(4*(1-4*g))=0
84 - 4 • (1 - 4g) = 0
3.1 Pull out like factors :
16g + 80 = 16 • (g + 5)
16 • (g + 5) = 0
4.1 Solve : 16 = 0
This equation has no solution.
A a non-zero constant never equals zero.
4.2 Solve : g+5 = 0
Subtract 5 from both sides of the equation :
g = -5
I hope it helps you and if you want you can give me a brainly crown only if you want