Answer:
See explanation for answer
Step-by-step explanation:
A)
Setting the two equations equal to each other:
x^2-2x=8
x^2-2x-8=0
(x-4)(x+2)=0
x=-2,4
To find the intersection points, since you know the x values and you know that it intersects with the line g(x)=8, all of the y coordinates will be 8. Therefore, the coordinate pairs area (-2,8) and (4,8).
B)
I added the file with the graph.
C)
This can be solved by using integration, and yields 36 square units.
Hope this helps!
(red pens + black pens) / total pens
(4 + 6) / 15 = 10/15 = 2/3
Answer:
Here we have the relation:
m = 140*h
Where m is the distance in miles, and h is time in hours.
And we want to complete a table like:
![\left[\begin{array}{ccc}in, h&out, m\\&\\&\\&\\&\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Din%2C%20h%26out%2C%20m%5C%5C%26%5C%5C%26%5C%5C%26%5C%5C%26%5Cend%7Barray%7D%5Cright%5D)
The way to complete this, is to evaluate the function:
m = 140*h
in different values of h, and then record both values of h and m in the table.
Let's use values of h that increase by 0.5, then:
if h = 0.5
m = 140*0.5 = 70
We have the pair: h = 0.5, m = 70
if h = 1
m = 140*1 = 140
We have the pair: h = 1, m = 140
if h = 1.5
m = 140*1.5 = 210
Then we have the pair h = 1.5, m = 210
if h = 2
m = 140*2 = 280
We have the pair: h = 2, m = 280
Now we can complete the table, and it will be:
![\left[\begin{array}{ccc}in, h&out, m\\0.5&70\\1&140\\1.5&210\\2&280\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Din%2C%20h%26out%2C%20m%5C%5C0.5%2670%5C%5C1%26140%5C%5C1.5%26210%5C%5C2%26280%5Cend%7Barray%7D%5Cright%5D)
The numbers that are a distance of 4/6 unit from 3/6 on a number line are -1/6 and 7/6
<h3>What is the distance on a Number Line?</h3>
We want to know what numbers are a distance of 4/6 unit from 3/6 on a number line.
Add 4/6 to 3/6, and also subtract 4/6 from 3/6. That will give the two numbers.
3/6 + 4/6 = 3/6 + 4/6 = 7/6
3/6 - 4/6 = -1/6
Thus, the numbers that are a distance of 4/6 unit from 3/6 on a number line are -1/6 and 7/6
Read more about Distance on a number Line at; brainly.com/question/17143316
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