The answer for your question is A
50% or 1/2 because it’s a dice u either have even or odd
Answer:
y=5x-78
Step-by-step explanation:
y=5x+b
first plug in -3 for y and 15 for x
-3=5(15)+b
-3=75+b
subtract 75 on both sides
-78=b
y=5x-78
Answer:
17b = w
Step-by-step explanation:
17 times the number of bottles = the number of ounces of water
Then you just plug in the numbers you are given
17(51) = w
17 x 51 = 867
<u>51 bottles of water holds 867 ounces</u>
<u />
17b = (51)
divide both sides by 17
51/17 = 3
b = 3
<u>It would take 3 bottles of water to hold 51 ounces</u>
ANSWER
The solution is
![(x=1,y=2),(x=2,y=3)](https://tex.z-dn.net/?f=%28x%3D1%2Cy%3D2%29%2C%28x%3D2%2Cy%3D3%29)
<u>EXPLANATION</u>
We have
![y=x+1---(1)](https://tex.z-dn.net/?f=y%3Dx%2B1---%281%29)
and
![y=x^2-1---(2)](https://tex.z-dn.net/?f=y%3Dx%5E2-1---%282%29)
Let us substitute equation (1) in to equation (2). This gives us,
![x+1=x^2-1(2)](https://tex.z-dn.net/?f=x%2B1%3Dx%5E2-1%282%29)
We rewrite this as a quadratic equation as the highest degree is 2.
![x^2-x-1-1=0](https://tex.z-dn.net/?f=x%5E2-x-1-1%3D0)
This implies that
![x^2-x-2=0](https://tex.z-dn.net/?f=x%5E2-x-2%3D0)
we factor to obtain,
![x^2+x-2x-2=0](https://tex.z-dn.net/?f=x%5E2%2Bx-2x-2%3D0)
![x(x-1)-2(x-1)=0](https://tex.z-dn.net/?f=x%28x-1%29-2%28x-1%29%3D0)
![(x-1)(x-2)=0](https://tex.z-dn.net/?f=%28x-1%29%28x-2%29%3D0)
This means,
![(x-1)=0\:\: or\:\:(x-2)=0](https://tex.z-dn.net/?f=%28x-1%29%3D0%5C%3A%5C%3A%20or%5C%3A%5C%3A%28x-2%29%3D0)
![x=1\:\: or\:\:x=2](https://tex.z-dn.net/?f=x%3D1%5C%3A%5C%3A%20or%5C%3A%5C%3Ax%3D2)
We substitute this values into any of the above equations, preferably equation (1)
When,
, ![y=1+1=2](https://tex.z-dn.net/?f=y%3D1%2B1%3D2)
When,
, ![y=2+1=3](https://tex.z-dn.net/?f=y%3D2%2B1%3D3)
The solution is
![(1,2),(2,3)](https://tex.z-dn.net/?f=%281%2C2%29%2C%282%2C3%29)