Answer:
plot the first point on (0,-4)
from there, rise 2, then run 3
plot another point on (3,-2)
plot another on (6,0), and so on
<em><u>Plz mark as brainliest if correct! Have a nice day!!! </u></em>
<em><u>-Lil G</u></em>
Answer:
The vertex is the point ![(-1,0)](https://tex.z-dn.net/?f=%28-1%2C0%29)
Step-by-step explanation:
we have
![f(x)=3x^{2} +6x+3](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E%7B2%7D%20%2B6x%2B3)
we know ow that
The equation of a vertical parabola into vertex form is equal to
![y=a(x-h)^{2}+k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E%7B2%7D%2Bk)
where
(h,k) is the vertex of the parabola
Convert the equation into vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
![f(x)-3=3x^{2} +6x](https://tex.z-dn.net/?f=f%28x%29-3%3D3x%5E%7B2%7D%20%2B6x)
Factor the leading coefficient
![f(x)-3=3(x^{2} +2x)](https://tex.z-dn.net/?f=f%28x%29-3%3D3%28x%5E%7B2%7D%20%2B2x%29)
Complete the square. Remember to balance the equation by adding the same constants to each side
![f(x)-3+3=3(x^{2} +2x+1)](https://tex.z-dn.net/?f=f%28x%29-3%2B3%3D3%28x%5E%7B2%7D%20%2B2x%2B1%29)
![f(x)=3(x^{2} +2x+1)](https://tex.z-dn.net/?f=f%28x%29%3D3%28x%5E%7B2%7D%20%2B2x%2B1%29)
Rewrite as perfect squares
![f(x)=3(x+1)^{2}](https://tex.z-dn.net/?f=f%28x%29%3D3%28x%2B1%29%5E%7B2%7D)
therefore
the vertex is the point ![(-1,0)](https://tex.z-dn.net/?f=%28-1%2C0%29)
Answer:
<u>150</u>
Step-by-step explanation:
So I will shorten Eric, and Bob's names as E, and B.
So the equations are this
B-E = B+E - 240, E as Eric, and B as Bob, and this E+B=9(E-B)
Move the variables and you get
-2E =- 240
Just divide them both by -2
and E=120
So when we know the value of E we can just plug it into the 1st question
120+B=9B+1080
Moves the Variables and numbers to the other side
8B=1200
1200/8= 150
B=150
There is Bob's weight
Ok to solve this just write it out how it sounds, like so.
3x/4
![\geq](https://tex.z-dn.net/?f=%20%5Cgeq%20)
-16
Hope this helps!=)
The variable can be g for games being bowled and the expression is 25g