Answer:
m=-29/3 and n=65/3
Step-by-step explanation:
The given system has equations:
3m+3n=36
8m+5n=31
Multiply the top equation by 5 and bottom equation by 3 to get:
15m+15n=180
24m+15n=93
Subtract the top equation from the bottom equation to get:
9m=-87
Divide both sides by 9
![m = - \frac{29}{3}](https://tex.z-dn.net/?f=m%20%3D%20%20-%20%20%5Cfrac%7B29%7D%7B3%7D%20)
We substitute this value into the first equation to get:
![3( - \frac{29}{3} ) + 3n = 36](https://tex.z-dn.net/?f=3%28%20-%20%20%5Cfrac%7B29%7D%7B3%7D%20%29%20%2B%203n%20%3D%2036)
![3n = 36 + 29](https://tex.z-dn.net/?f=3n%20%3D%2036%20%2B%2029)
![3n = 65](https://tex.z-dn.net/?f=3n%20%3D%2065)
![n = \frac{65}{3}](https://tex.z-dn.net/?f=n%20%3D%20%20%5Cfrac%7B65%7D%7B3%7D%20)
Answer:
true!
Step-by-step explanation:
hi, this graph is a function because it passes the vertical line test. there are no x-values with 2 y-values for the same x.
Answer:
d. 42
Step-by-step explanation:
PEDMAS
We do brackets first, so:
4 + 4 = 8
Then multiplication,
5 x 8 = 40
Then addition
40 + 2 = 42
Answer:
(4,-2.5)
Step-by-step explanation:
because you move to the right it is a positive x-axis point and since you are moving down it is a negative y- axis point
Answer:
<h2> 21 km </h2>
Step-by-step explanation:
If the bicyclist travels 7 km for every 5 minutes then it is directly proportional
5 min 7 km
15 min x
![x=\dfrac{15\cdot7}{5}=3\cdot7=21\,km](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B15%5Ccdot7%7D%7B5%7D%3D3%5Ccdot7%3D21%5C%2Ckm)