Where’s the answer choices
We need two numbers that when multiplied will give you -40 and when added will give you -3:
(x+5) (x-8) this is your answer. And you want to know the process Here it goes. And attached is a chart I made you so you can visually see what this process is telling you:
1) identify a,b, and c in the trinomial ax^2 + bx+c (in your case it's 1x^2-3x-40= x^2-3x-40)
2) write down all factor pairs of c (numbers that multiplied produce -40)
3) identify which factor pair from the previous step sums up to b
4) Substitute factor pairs into two binomials
First you multiply 2.20 and 2.5 which gives you 5.5, then you multiply 2.20 and 1.2 which gives you 2.64, after the multiplying, you add your totals (5.5 + 2.64) and that equals 8.14. So he spent a total of $8.14 on apples.
Since the are similar triangles, the large triangle has a height of 6 and a base of 6. So the smaller triangles height must equal its base. Therefore x=4
