Answer:
f(x) = 3x⁴ -
- 17x + 
Step-by-step explanation:
To find f'(x), we will follow the steps below:
We will start by integrating both-side of the equation
∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx
f(x) = 3x⁴ -
- 17x + C
Then we go ahead and find C
f(1) = 8
so we will replace x by 1 in the above equation and solve for c
f(1) = 3(1)⁴ -
- 17(1) + C
8 = 3 -
- 17 + C
C =8 - 3 + 17 + 
C = 22 + 
C =
C = 
f(x) = 3x⁴ -
- 17x + 
Answer:
Accept the claim that mean = 8.2oz.
Step-by-step explanation:
Given that a company claims that its coffee cans contain 8.2 ounces of coffee, on average.
To check this, normally large samples are drawn and sample mean is calculated
Then hypotheses created as
H0: Mean = 8.2
Ha: Mean not equals 8.2
The std deviation of sample is found out and then 95% confidence interval is calculated.
If the sample mean falls within 95% confidence interval, then we are 95% confident that for large samples, the sample mean would fall within this interval. Also the claim can be accepted.
Hence conclusion is accept null hypothesis that mean = 8.2 oz.
Answer:
About 8.6
Step-by-step explanation:
d=(x2-x1)^2+(y2-y1)^2
8=x1 8=y1 3=x2 1=y2
(3-8)^2+(1-8)^2
(-5)^2+(-7)^2
25+49
74
take the square root and you get about 8.6
B is your answer choice :)
Hope this helped!
If you would like to solve for x, you can do this using the following steps:
7x + 15 = 38
7x = 38 - 15
7x = 23
x = 23/7
The correct result would be 23/7.