<h2>
Order is 3,1,5,2 and 4.</h2>
Step-by-step explanation:
We have
log(x² - 15) = log(2x)
Solving the equation
x² - 15 = 2x
x² - 2x - 15 = 0
(x-5)(x+3) = 0
x -5 = 0 or x + 3 = 0
x = 5 or x = -3
The solutions are −3 and 5.
Order of solution is x² − 15 = 2x, x² - 2x - 15 = 0, (x − 5)(x + 3) = 0, x − 5 = 0 or x + 3 = 0 and potential solutions are −3 and 5.
Order is 3,1,5,2 and 4.
Answer:
He earned an average of 71 points per test.
Step-by-step explanation:
Divide the total number of points by the amount of tests to find the average (mean.)
Answer: $247.50
Step-by-step explanation:
10 * 50 = 500
500 + 400 + 2100 = 3000
8.25/100 = 0.0825
3000 * 0.0825 = 247.5
Answer:
x = -2
Step-by-step explanation:
![f(x) =x^2 -2x\:\: and \:\: g(x) = 6x + 4\\(f+g)(x) = f(x) + g(x) \\(f+g)(x) = x^2 -2x+ 6x + 4\\(f+g)(x) = x^2+4x + 4\\(f+g)(x) = (x+2)^2\\ 0 = (x+2)^2...[\because (f+g)(x) =0]\\0 = x+2\\\therefore x = -2](https://tex.z-dn.net/?f=f%28x%29%20%3Dx%5E2%20-2x%5C%3A%5C%3A%20and%20%5C%3A%5C%3A%20g%28x%29%20%3D%206x%20%2B%204%5C%5C%28f%2Bg%29%28x%29%20%3D%20f%28x%29%20%2B%20g%28x%29%20%5C%5C%28f%2Bg%29%28x%29%20%3D%20x%5E2%20-2x%2B%206x%20%2B%204%5C%5C%28f%2Bg%29%28x%29%20%3D%20x%5E2%2B4x%20%2B%204%5C%5C%28f%2Bg%29%28x%29%20%3D%20%28x%2B2%29%5E2%5C%5C%200%20%3D%20%28x%2B2%29%5E2...%5B%5Cbecause%20%28f%2Bg%29%28x%29%20%3D0%5D%5C%5C0%20%3D%20x%2B2%5C%5C%5Ctherefore%20x%20%3D%20-2)
Answer:
The answer in the simplest form would be 28/9 or 3 1/9
Step-by-step explanation:
Very simple you would divide the 56 and the 18 by 2 and you get 28/9.
or you could change it to a improper fraction in that case it would be 3 1/9