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)
For the first question asking about the slope 3/4 and y intercept -2 would be (y=0.75x-2) because 3/4=0.75 and the y intercept -2 is b and you’re just placing it into the formula y=Mx+b m=slope b=y intercept.
Answer:
The answer is $ 59.84
Step-by-step explanation:
Ok, I know this is not one of the options, but hear me out:
To find the sales tax for that item, you need to multiply the dollar amount by the sales tax (in percent):
$55 * 8.8% = $4.84
So the sales tax is $4.84. However, the question asks "How much would you pay for that item?", not what the sales tax is. So I would solve this problem by adding the sales tax to the dollar amount of the item:
$55 + $4.84 = $ 59.84
If you are able to write or type your answer, I would type $ 59.84. If you can only select one of the given values, then I would suggest going with A: $ 4.84 just because its the only number that is actually relevant at all to the problem.
Answer:
6x^2
Step-by-step explanation:
Answer:
p=10
Step-by-step explanation:
1.add 7 on each side to cancel -7
2.add 7 and 3 together to get ten
