Given that the vertex of the parabola is (4,-3)
The parabola passes through the point (2,-1)
We need to determine the standard form of the equation of the parabola.
<u>Standard form of the equation of the parabola:</u>
The standard form of the equation is
where the vertex is (h,k) and a is the constant.
Substituting the vertex (4,-3) in the above equation, we get;
---------------(1)
Substituting the point (2,-1) in the above equation, we have;





Thus, the value of a is 
Substituting the value of a in the equation (1), we get;

Thus, the standard form of the equation of the parabola is 
Hello!
To solve whatever z is we have to get it by itself by using inverse operations. I will undo operations below.
m=q/z-v+v
m+v=q/z(z)
m+v+z=q
m+v+z-z=q-z
m+v=q-z
Here I will switch z to adding negative z so we can use the commutative property.
m+v= q+(-z)
m+v=-z +q
m+v-q=-z+q-q
m+v-q=z
We now have our formula for z. z=m+v-q. Hope this helps!
$300 = 1/6
1/3 is 1/6 times two
$600 = 1/3
1/3 = 2/6
3/6 = $900 ( Bills and Food )
So, he has 3/6 left, which is also $900
900 + 900 = 1800
Mr. Curry received 1,800 dollars in his paycheck and spent $600 dollars on bills.
First you add like terms which means you add all the x's together and all the constants.
3x -5 =55 (Remember that 8 has a negative sign in front which brings that sign with it when combinding like terms)
Then you isolate the variable by adding 5 on both sides.
3x = 60.
Finally you divide by 3 on both sides to get x=20
Answer:
The correct options are A and C.
Step-by-step explanation:
The given functions are


We have to find to solution for the equation


The solution of the above equation is the intersection of F(x) and G(x).
From the graph it is noticed that both graph intersects each other at (0,1) and (2,4).
The x-coordinates of these points are the solutions of the given equation.
Therefore the solution of given equation are 0 and 2.
Therefore option A and C are correct.