Substitute x into the second equation:
3(6y-11)-2y=-1
18y-33-2y=-1
16y=32
y=2
Then put the y value into the first equation to get x:
x=6(2)-11
x=1
There you go!
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Answer:
The first groups travels 7 miles total, and the second group travels 7 miles in total also
Step-by-step explanation:
They are completely equal
Answer:
Step-by-step explanation:
Given:
The quadratic function is given as:
The standard form of a quadratic function is given as:
, where, 'a', 'h' and 'k' are real numbers.
Now, in order to convert the given function to standard form, we use completing by square method.
![-x^2+2x=-(x^2-2x)=-[(x-2)^2-2^2]=-[(x-2)^2-4]=-(x-2)^2+4](https://tex.z-dn.net/?f=-x%5E2%2B2x%3D-%28x%5E2-2x%29%3D-%5B%28x-2%29%5E2-2%5E2%5D%3D-%5B%28x-2%29%5E2-4%5D%3D-%28x-2%29%5E2%2B4)
Now, can be rewritten as:
Therefore, the standard form of the function is:
1 nickels =$0.05
1 dime= $0.1
let the number of nickels be x and that of dimes be y.
total number of coins is given by:
x+y=42
hence:
y=42-x.......i
total amount of cash will be:
0.05x+0.1y=3.30.........ii
substituting i in ii we get:
0.05x+0.1(42-x)=3.30
0.05x+4.2-0.1x=3.3
-0.05x=-0.9
x=-0.9/(-0.05)
x=18
hence the the number nickels is x=18, the number of dimes will be y=42-x=42-18=24
