To figure out the answer to this problem you have to start by noticing that the equations are 'x+2y=6' and '2x+y=9'. Now take 2x+y=9 and subtract 2x from both sides. now y=9-2x so you can substitute y into the first equation. x+2(9-2x)=6. Distribute 2 by the 9 and -2x and you get x+18-4x=6. Add like terms and now you have -3x+18=6. Subtract 18 from both sides and you get -3x=-12 now divide -3 from both sides and you get 4=x. Now substitute 4 in for one of the equations 2(4)+y=9 and 2*4 is 8 so now you have 8+y=9 now you subtract 8 from both sides and you find the y=1 and x=4.
The answer is 1494.569444
Discrete data is numerical but only has a limited number of values.
In this case, the number of rides in an amusement park would be discrete because you cannot have, for example, 5.6 rides.
The correct answer is A.
Answer:
x=0
Step-by-step explanation:
"y varies directly as x," means that when one increases/decreases, the other does the same thing
so when y decreses by 4 from 16 to 12, x decreases by 4 too
4-4=0
Answer:
![y = 2x +5](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B5)
Step-by-step explanation:
Finding the Slope:
m = rise/run
![m=\frac{9-3}{2-(-1)}=\frac{6}{3}=\boxed{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B9-3%7D%7B2-%28-1%29%7D%3D%5Cfrac%7B6%7D%7B3%7D%3D%5Cboxed%7B2%7D)
The slope is 2.
Finding the y-intercept:
![y = 2x + b\\\\9 = 2(2) + b\\\\9 = 4 + b\\\\9 - 4 = 4 - 4 + b\\\\\boxed{ 5 = b}](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%20b%5C%5C%5C%5C9%20%3D%202%282%29%20%2B%20b%5C%5C%5C%5C9%20%3D%204%20%2B%20b%5C%5C%5C%5C9%20-%204%20%3D%204%20-%204%20%2B%20b%5C%5C%5C%5C%5Cboxed%7B%205%20%3D%20b%7D)
The y-intercept is (0,5).
The equation should be:
.
Hope this helps.