Answer:
x = 1
Step-by-step explanation:
The approximate solutions to f(x) = g(x) is where the two graphs intersect. It appears the meet at just past x=1 and around x=-2.5
The questions asks for an approximate solution, so it is only asking for one of the solutions.
Answer:
1. 30
2. 33
Step-by-step explanation:
The question is an illustration of mean or averages.
<em>If he pours equal amount in the glasses, </em>
<em> would be in each glass</em>
<em>I've added as an attachment, the missing line plot.</em>
The data on the line plot can be represented as follows:
![\left[\begin{array}{cccccccc}x&7&7\frac 12&8&8\frac12&9&9\frac 12 & 10 \\f&0&0&2&1&4&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccc%7Dx%267%267%5Cfrac%2012%268%268%5Cfrac12%269%269%5Cfrac%2012%20%26%2010%20%5C%5Cf%260%260%262%261%264%261%260%5Cend%7Barray%7D%5Cright%5D)
Where:
<em />
<em> the glasses</em>
<em />
<em> number of ounces</em>
<em />
Glasses with no x on the line plot have a frequency of 0.
If he pours an equal amount of ounces in each glass, the amount in each glass is the mean.
The mean is then calculated as:
![\bar x = \frac{\sum fx}{\sum f}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B%5Csum%20fx%7D%7B%5Csum%20f%7D)
So, we have:
![\bar x = \frac{0 \times 7 + 7\frac 12 \times 0 + 8 \times 2 + 8\frac 12 \times 1 + 9 \times 4 + 9\frac 12 \times 1 + 10 \times 1}{0 + 0 + 2+1+4+1+0}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B0%20%5Ctimes%207%20%2B%207%5Cfrac%2012%20%5Ctimes%200%20%2B%208%20%5Ctimes%202%20%2B%208%5Cfrac%2012%20%5Ctimes%201%20%2B%209%20%5Ctimes%204%20%2B%209%5Cfrac%2012%20%5Ctimes%201%20%2B%2010%20%5Ctimes%201%7D%7B0%20%2B%200%20%2B%202%2B1%2B4%2B1%2B0%7D)
![\bar x = \frac{0 + 0 + 16 + 8\frac 12 + 36 + 9\frac 12+ 10}{8}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B0%20%2B%200%20%2B%2016%20%2B%208%5Cfrac%2012%20%2B%2036%20%2B%209%5Cfrac%2012%2B%2010%7D%7B8%7D)
![\bar x = \frac{70}{8}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B70%7D%7B8%7D)
Simplify
![\bar x = 8\frac{3}{4}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%208%5Cfrac%7B3%7D%7B4%7D)
<em>Hence, if he pours equal amount in the glasses, </em>
<em> would be in each glass</em>
<em />
Read more about mean at:
brainly.com/question/2018505
Answer:
s=33.3333
Step-by-step explanation:
200=5s -(100+2s)
200= 5s -100 -2
100= 3s
s= 33.333
Solve for x.
c=85x+60
Flip the equation.
85x+60=c
Add -60 to both sides.
85x+60+−60=c+−60
85x=c−60
Divide both sides by 85.
85x/85=c−60/85
x = 1/85 c + −12/ 17