You could simplify this work by factoring "3" out of all four terms, as follows:
3(x^2 + 2x - 3) =3(0) = 0
Hold the 3 for later re-insertion. Focus on "completing the square" of x^2 + 2x - 3.
1. Take the coefficient (2) of x and halve it: 2 divided by 2 is 1
2. Square this result: 1^2 = 1
3. Add this result (1) to x^2 + 2x, holding the "-3" for later:
x^2 +2x
4 Subtract (1) from x^2 + 2x + 1: x^2 + 2x + 1 -3 -1 = 0,
or x^2 + 2x + 1 - 4 = 0
5. Simplify, remembering that x^2 + 2x + 1 is a perfect square:
(x+1)^2 - 4 = 0
We have "completed the square." We can stop here. or, we could solve for x: one way would be to factor the left side:
[(x+1)-2][(x+1)+2]=0 The solutions would then be:
x+1-2=0=> x-1=0, or x=1, and
x+1 +2 = 0 => x+3=0, or x=-3. (you were not asked to do this).
Step-by-step explanation:
We know that the fence is 52 <em>feet</em> long, but since it's sold in yards, we need to somehow convert feet to yards.
First, we need to find a little something called a conversion factor. Basically, we need to see what we can do to get from <em>one foot</em> to <em>one yard</em>.
Well, how many feet are there in a yard? <em><u>3.</u></em><u /><u /> So now we know that <em><u>one foot is 1/3 of a yard.</u>
</em>
So to convert 52ft to yards, we need to divide by 3. What's 52 divided by 3?
17.33.
Now we just need to multiply that by 10.99 so that we can find out the cost.
We get 190.45. That's your answer!
It all cost <em>$190.45
</em>
<em>Don't forget to rate this answer the Brainliest!</em><em>
</em>
Answer: 9 days.
Step-by-step explanation: 27 / 3
Answer:
99
Step-by-step explanation:
