Step-by-step explanation:
Let the number is x. Its reciprocal will be 1/x. According to given condition, we get :
![x+\dfrac{1}{x}=\dfrac{41}{20}\\\\\dfrac{x^2+1}{x}=\dfrac{41}{20}\\\\20x^2+20=41x\\\\20x^2-41x+20=0](https://tex.z-dn.net/?f=x%2B%5Cdfrac%7B1%7D%7Bx%7D%3D%5Cdfrac%7B41%7D%7B20%7D%5C%5C%5C%5C%5Cdfrac%7Bx%5E2%2B1%7D%7Bx%7D%3D%5Cdfrac%7B41%7D%7B20%7D%5C%5C%5C%5C20x%5E2%2B20%3D41x%5C%5C%5C%5C20x%5E2-41x%2B20%3D0)
It is a quadratic equation. The values of x are :
![20x^2-25x - 16x+ 20 =0\\\\5x(4x - 5) -4( 4x - 5) = 0\\\\(5x-4)(4x-5)=0\\\\5x-4=0\ \text{and}\ (4x-5)=0\\\\x=\dfrac{4}{5}\ \text{and}\ x=\dfrac{5}{4}](https://tex.z-dn.net/?f=20x%5E2-25x%20-%2016x%2B%2020%20%3D0%5C%5C%5C%5C5x%284x%20-%205%29%20-4%28%204x%20-%205%29%20%3D%200%5C%5C%5C%5C%285x-4%29%284x-5%29%3D0%5C%5C%5C%5C5x-4%3D0%5C%20%5Ctext%7Band%7D%5C%20%284x-5%29%3D0%5C%5C%5C%5Cx%3D%5Cdfrac%7B4%7D%7B5%7D%5C%20%5Ctext%7Band%7D%5C%20x%3D%5Cdfrac%7B5%7D%7B4%7D)
The smaller number is 4/5 and the larger number is 5/4.
50 - 5n = 15
if you need to find the number n then
50 - 5n = 15
-5n = -35
n = 7
Answer:
y = -3x + 2
Explanation:
Do the rise over run equation to find slope
Slope = 3
Plug in slope to equation and also choose one of the coordinate points to plug in x and y so you can find b
Plug in all of this to get final y=mx+b form
Answer:
the expression is not factorable with rational numbers.
Answer:
Step-by-step explanation:
Answer
When you put this into your calculator, you get - 7.2111. The closest point to that is L.
Answer: -7.2111 is closest to L