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:
-3
Step-by-step explanation:
2x-1=4x+5
-1=2x+5
-6=2x
x=-3
Answer:
A) 90
Step-by-step explanation:
"The sum of two integers is 23" becomes
a + b = 23
"the positive difference of the same two integers is 13" becomes
a - b = 13 (difference means subtract)
Now solve the system..
a + b = 23
a - b = 13 *use addition or elimination method, since b has opposite coefficients...
2a = 36 ( we add the two equations together)
a = 18 (divide by 2 on both sides)
Since a = 18, 18 + b = 23, gives us b = 5. (18 + 5 = 23)
ab = (18)(5) = 90
Answer:

And after operate we got:

So then the gragbe per capita on this was would be 
Step-by-step explanation:
For this case we know the following info:
Total waste generated for a certain country in 2005 : 
Total population for this country in 2005 
And we want to estimate the garbage per capita or per person for 2005, and we can use the following formula:

And after operate we got:

So then the gragbe per capita on this was would be 
Answer:
I think the answer is 20 ..........
Step-by-step explanation:
5