Hey there!
The answer is 1 1/8 mile.To find the amount of miles Sarah ran, we need to multipy the length of the track by the times she run that distance.
![1 \frac{1}{2} \times \frac{3}{4} = \frac{3}{2} \times \frac{3}{4} = \frac{9}{8} = 1 \frac{1}{8}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B4%7D%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B9%7D%7B8%7D%20%3D%201%20%5Cfrac%7B1%7D%7B8%7D%20)
Rembember: multiplying a fraction means you have to multiply the <span>numerator by the numerator (of the other fraction) and the denominator by the denominator (of the other fraction)
</span>
The answer is 1 1/8 mile.
~ Hope this helps you!
Answer:
***
Answers may vary depending on the person reading the graph.
It is hard to tell what they think crosses nicely.
For example, I decided that the graph crossed nicely at the following points:
![(0,3)](https://tex.z-dn.net/?f=%280%2C3%29)
![(2,8)](https://tex.z-dn.net/?f=%282%2C8%29)
![(6,5)](https://tex.z-dn.net/?f=%286%2C5%29)
Step-by-step explanation:
I see that the graph crosses at
,
, and
.
The equation
tells us the
-intercept is
since when
we have
.
The
-intercept for our graph is
. Therefore,
.
So far we have the equation:
.
Let's enter the other points creating a system of linear equations to solve:
![8=a(2)^2+b(2)+3](https://tex.z-dn.net/?f=8%3Da%282%29%5E2%2Bb%282%29%2B3)
![5=a(6)^2+b(6)+3](https://tex.z-dn.net/?f=5%3Da%286%29%5E2%2Bb%286%29%2B3)
Let's simplify:
![8=4a+2b+3](https://tex.z-dn.net/?f=8%3D4a%2B2b%2B3)
![5=36a+6b+3](https://tex.z-dn.net/?f=5%3D36a%2B6b%2B3)
Let's subtract 3 on both sides:
![5=4a+2b](https://tex.z-dn.net/?f=5%3D4a%2B2b)
![2=36a+6b](https://tex.z-dn.net/?f=2%3D36a%2B6b)
I choose to solve the system by elimination.
Let's multiply the top equation by -3:
![-15=-12a-6b](https://tex.z-dn.net/?f=-15%3D-12a-6b)
![2=36a+6b](https://tex.z-dn.net/?f=2%3D36a%2B6b)
Now adding the equations results in:
![-13=24a](https://tex.z-dn.net/?f=-13%3D24a)
Divide both sides by 24:
![\frac{-13}{24}=a](https://tex.z-dn.net/?f=%5Cfrac%7B-13%7D%7B24%7D%3Da)
Now using one of the equations we can find
:
with ![a=\frac{-13}{24}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B-13%7D%7B24%7D)
![5=4\frac{-13}{24}+2b](https://tex.z-dn.net/?f=5%3D4%5Cfrac%7B-13%7D%7B24%7D%2B2b)
![5=\frac{-13}{6}+2b](https://tex.z-dn.net/?f=5%3D%5Cfrac%7B-13%7D%7B6%7D%2B2b)
Add 13/6 on both sides:
![5+\frac{13}{6}=2b](https://tex.z-dn.net/?f=5%2B%5Cfrac%7B13%7D%7B6%7D%3D2b)
![\frac{30+13}{6}=2b](https://tex.z-dn.net/?f=%5Cfrac%7B30%2B13%7D%7B6%7D%3D2b)
![\frac{43}{6}=2b](https://tex.z-dn.net/?f=%5Cfrac%7B43%7D%7B6%7D%3D2b)
Divide both sides by 2:
![\frac{43}{2(6)}=b](https://tex.z-dn.net/?f=%5Cfrac%7B43%7D%7B2%286%29%7D%3Db)
![\frac{43}{12}=b](https://tex.z-dn.net/?f=%5Cfrac%7B43%7D%7B12%7D%3Db)
So we have the equation:
![y=\frac{-13}{24}x^2+\frac{43}{12}+3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-13%7D%7B24%7Dx%5E2%2B%5Cfrac%7B43%7D%7B12%7D%2B3)
Let's evaluate
now:
![\frac{-13}{24}+\frac{43}{12}+3](https://tex.z-dn.net/?f=%5Cfrac%7B-13%7D%7B24%7D%2B%5Cfrac%7B43%7D%7B12%7D%2B3)
![\frac{-13+86+72}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B-13%2B86%2B72%7D%7B24%7D)
![\frac{73+72}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B73%2B72%7D%7B24%7D)
![\frac{145}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B145%7D%7B24%7D)
I would have to say the second
(2,3) the order is rise over run so, go up two, and to the right 3 which gives you point D
Answer:
2x2x2x2x3x7,This is because all of that sum equals the total of
Step-by-step explanation:
2x2x2x2x3x7