A quadratic equation has the general form
of: <span>
y=ax² + bx + c
It can be converted to the vertex form in order
to determine the vertex of the parabola. It has the standard form of:
y = a(x+h)² - k
This can be done by completing a square. The steps are as follows:
</span><span>y = 3x2 + 9x – 18
</span>y = 3(x2 <span>+ 3x) – 18
</span>y + 27/4= 3(x2 <span>+ 3x+ 9/4) – 18
</span>y = 3(x2 + 3/2)^2 – 99<span>/4
</span>
Therefore, the first step is to group terms with the variable x and factoring out the coefficient of x^2.
Answer:
Step-by-step explanation:
It's algebra really, basically make a system of equations.
1b+5j=t
3b+2j=2t
I'm gonna solve the first one for buckets so we have it in terms of jars.
b+5j=t
b=t-5j
Now I plug that into the other equation
3b+2j=2t
3(t-5j)+2j=2t
3t-15j+2j=2t
Now, since it wants how many jars are in one tub, I want to solve it so there's 1t on one side of the equation and all js on the other. or it other words solve for t.
3t-15j+2j=2t
3t-13j = 2t
3t = 2t+13j
t = 13j
So it takes 13 jars to make one tub, or one jar is 1/13 of a tub. You could then plug that in to one of the equations and find how much a bucket is.
This is already a whole number
Answer:
Step-by-step explanation:
As similar triangle hence their correspondiing sides will be proportional,
let the side we want to know is x,
18/x = 11.2/40
x = 18*40/11.2
x= 64.3
$125 per quarter, if quarter means every 3 months.
