Equation is (x+2)^2 - x^2 = 7676
solve the equation by first opening the bracket of (x+2)^2 by A^2 + 2AB +C^2
you'll end up with 4x + 4 = 7672
thus x = 1918 and the next number is 1920.
Answer:
x = - 2, x = 6
Step-by-step explanation:
Given f(x) = 18 we require to solve
3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )
3 | x - 2 | = 12 ( divide both sides by 3 )
| x - 2 | = 4
The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus
x - 2 = 4 ( add 2 to both sides )
x = 6
OR
- (x - 2) = 4
- x + 2 = 4 ( subtract 2 from both sides )
- x = 2 ( multiply both sides by - 1 )
x = - 2
As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
Hence solutions are x = - 2, x = 6
A) 2
B) DNE
C) -2
I hope this answers your question but I’m not so sure of my answer!
Answer:
1. x = 2
2. x = -2
3 x = 1
Step-by-step explanation:
Make x the subjects and work from there
Answer:
A. 10 hours for 4 employees and 20 hours for 1 employee.
Step-by-step explanation:
Okay, let's get to it! :D
So first, we need to set up an equation.
We know there are 60 total hours split between 5 people, and we can assign the number of hours 4 of the employees get as x. We also know that one employee gets double the amount of hours, so they would get 2x. Now, let's put that into an equation :)
60 = 2x + 4x
Now we add the x's together so the equation looks like this:
60 = 6x
To find x, we have to get it alone, so now we divide 60 by 6.
X = 10
But we're not done yet. X is the amount the 4 employees have to work, but because one employee has double the hours, we double our x-value to get 20 hours for that one employee.
