Answer:
-7
Step-by-step explanation:
Let the number be x
So we get equation : 3x + 8 = -13
Thus, 3x = -13-8 = -21
So, x = (-21)/3
Hence the required number is -7
Answer:
Point in Quadrant I
Step-by-step explanation:
the lines will overlap in quadrant I (the positive quadrant)
Answer:
93
Step-by-step explanation:
The mean of a list of numbers is the sum of the numbers divided by the count of the numbers in the list.
In this case, representing the eighth score with x, the mean is (611+x)/8
Solving for the mean:
88=(611+x)/8
Multiply both sides by 8
8*88=611+x
704=611+x
704-611=x
x=93
Provided his $100 budget is for millage only
100/22= $4.54 per day for miles
4.54/0.27= 16.835 miles per day
Answer:
c = 1
Step-by-step explanation:
The formula for the MVT is
![f'(c)=\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=f%27%28c%29%3D%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
where f'(c) is the derivative of the function: 8x - 3;
f(b) is the function evaluated at an x value of 2 (the second number in the interval): f(b) = 12;
f(a) is the function evaluated at an x value of 1 (the first number in the interval: f(a) = 2
Setting up:
![8c-3=\frac{12-2}{2-0}=\frac{10}{2}=5](https://tex.z-dn.net/?f=8c-3%3D%5Cfrac%7B12-2%7D%7B2-0%7D%3D%5Cfrac%7B10%7D%7B2%7D%3D5)
So basically what we end up with is
8c - 3 = 5 and
8c = 8 so
c = 1
This function does in fact satisfy the requirements for the MVT: it is continuous on the interval and it is differentiable on the interval as polynomials by nature are continuous and differentiable on all values of x.