Answer:
x = 5
Step-by-step explanation:
√(2x − 1) + 2 = x
√(2x − 1) = x − 2
2x − 1 = (x − 2)²
2x − 1 = x² − 4x + 4
0 = x² − 6x + 5
0 = (x − 1) (x − 5)
x = 1 or 5
Check for extraneous solutions.
√(2(1) − 1) + 2 = 1
√(1) + 2 = 1
3 = 1
No solution
√(2(5) − 1) + 2 = 5
√(9) + 2 = 5
5 = 5
x = 5
Answer:
The total profit P(x) or the month is
.
Step-by-step explanation:
A company produces x units of a product per month.
The total cost represents by the function C(x).

The total revenue represents by the function R(x).

The profit is the difference between revenue and cost.



Combine like terms.


Therefore, the total profit P(x) or the month is
.
Answer:
x > - 3/7
Step-by-step explanation:
6x - 2x - 4 > 2 - 3 (x + 3)
6x - 2x - 4 > 2 - 3x - 9
4x - 4 > 2 - 3x - 9
4x - 4 > - 7 - 3x
4x - 4 + 3x > - 7
7x > - 7 + 4
7x > - 3
Answer:
x=13
Step-by-step explanation:
We add all the numbers together, and all the variables
6x-78
We move all terms containing x to the left, and all other terms to the right
6x=78
x=78/6
which should equal 13
Answer:
<h2> 6/35</h2>
Step-by-step explanation:
This problem is on fraction
given data
chocolate chip cookies= 12
lemon cookies = 6
strawberry cookies= 17
the total cookies is = 12+6+17
=35 cookies
Therefore the fraction that indicates the lemon cookies is
=the number of lemon cookies/total cookies
=6/35
Hence the fraction lemon is 6/35