2.70g = c
you have 2 gallons so it would be 2.70(2)=5.40
gallons - g
cost - c
Given:
hourly rate = 11.50
hours worked in a week = 40 hours
taxes per moth = 60
Every month may be 4 weeks or 5 weeks but we know that 1 year has 52.1429 weeks.
Let us compute for the whole year:
Earnings:
11.50 /1 hour * 40 hours/1week * 52.1429 weeks/1year
= 11.50 * 40 * 52.1429/year
= 23,985.734 per year
Taxes:
60 / per month * 12 months / 1 year
= 60 * 12/year
= 720 per year
Net earning per year
23,985.734 - 720 = 23,264.734
Net earning per month
23,264.734 ÷ 12 months = 1,938.81
You will earn 23,264.73 annually from a monthly earning of 1,938.81
To put an equation into (x+c)^2, we need to see if the trinomial is a perfect square.
General form of a trinomial: ax^2+bx+c
If c is a perfect square, for example (1)^2=1, 2^2=4, that's a good indicator that it's a perfect square trinomial.
Here, it is, because 1 is a perfect square.
To ensure that it's a perfect square trinomial, let's look at b, which in this case is 2.
It has to be double what c is.
2 is the double of 1, therefore this is a perfect square trinomial.
Knowing this, we can easily put it into the form (x+c)^2.
And the answer is: (x+1)^2.
To do it the long way:
x^2+2x+1
Find 2 numbers that add to 2 and multiply to 1.
They are both 1.
x^2+x+x+1
x(x+1)+1(x+1)
Gather like terms
(x+1)(x+1)
or (x+1)^2.
