Answer:
18,920.00
Step-by-step explanation:
discount = x
original price = $20,000
discount% = 5.4%
x/20,000 = 5.4/100
x · 100 = 5.4 · 20,000
100x = 108,000
100x/100 = 108,000/100
x = $ 1,080.00
Sale price = original $ - discount $ = final answer
$20,000 - $1,080 = $18,920.00
Answer:
4x - 1 and x + 6 are the factors of given Trinomial
Step-by-step explanation:
The given Trinomial is:
![4x^{2}+23x-6](https://tex.z-dn.net/?f=4x%5E%7B2%7D%2B23x-6)
We can factorize this trinomial by mid-term splitting. The mid-term(23x) can be split up in two terms (24x and -x) such that their sum is 23x and their product(-24x²) is equal to the product of other two terms (4x² and -6)
So, the above expression can be written as:
![4x^{2}+23x-6\\\\ =4x^{2}+24x-x-6\\\\\text{Taking out commons, we get}\\\\=4x(x+6)-1(x+6)\\\\ =(4x-1)(x+6)](https://tex.z-dn.net/?f=4x%5E%7B2%7D%2B23x-6%5C%5C%5C%5C%20%3D4x%5E%7B2%7D%2B24x-x-6%5C%5C%5C%5C%5Ctext%7BTaking%20out%20commons%2C%20we%20get%7D%5C%5C%5C%5C%3D4x%28x%2B6%29-1%28x%2B6%29%5C%5C%5C%5C%20%3D%284x-1%29%28x%2B6%29)
Therefore, 4x - 1 and x + 6 are the factors of given Trinomial
If you have a picture that shows line c on a graph, you could find your y-intercept or b. If not, you need the y-intercept to make an equation.
I think I might have my math wrong here but I think 5