Mean is the average. to find mean, you add all the numbers and divide it by how many numbers there are.
68 + 75 + 85 + 80 + 75 + 82 = 465
There are 6 numbers. That means you have to divide 465 by 6 to get the mean.
Divide:
465 / 6 = 77.5
The answer is D. 77.5
Hope this helped☺☺
For this case we have to:
Given the quadratic equation of the form:

The roots are given by:

If we have: 
We can rewrite it in the following way:

Where:

Where we have:



By definition: 




Thus, the roots are given by imaginary numbers:

Answer:

Answer:
80
Step-by-step explanation:
<u><em>A = Area of First Rectangle </em></u>
<u><em>B = Area of Second Rectangle </em></u>
<u><em>w = Width</em></u>
<u></u>
12(w)=320+B (1st Equation)
8(w) = B (2nd Equation)
w=B/8 <em><u>(Plug this value of w into the first equation)</u></em>
12B/8 = 320 +B <u><em>(you get this)</em></u>
12B= 2560 + 8B <u><em>(Simplify)</em></u>
4B = 2560
B =640 <em><u>plug this value into the 2nd equation</u></em>
8(w) = 640
w = 80
<em>To Test This</em>
12x80 = 960
8x80 = 640
<h3>960 - 640 = 320
<u><em>Therefore the answer is correct the width is 80</em></u></h3>
<h3 />
Answer: Option C
Step-by-step explanation:
If the graph of the function
represents the transformations made to the graph of
then, by definition:
If
the graph moves vertically upwards.
If
the graph moves vertically down
In this problem we have the function
and our parent function is 
therefore it is true that
Therefore the graph of
is moves vertically upwards by a factor of 5 units.
The answer is the Option C: "The graph of g(x) is the graph of f(x) shifted up 5 units"
Answer:
10.91%
Step-by-step explanation:
Take your number: 10.9091
Now find the first 3 decimals: 10.<u>909</u>
If the last (3rd) decimal is 5 or more raise the 2nd decimal: 10.9<u>09</u> → 10.9<u>1</u>
That is 2 decimal places
(if your teacher doesn't want it rounded then just 10.90%)