2|7 − 7x| = 2x + 4
|7 - 7x| = x + 2
7 - 7x = x + 2 or 7 - 7x = -(x + 2)
-8x = -5 or 7 - 7x = -x - 2
x = 5/8 or -6x = -9
x = 5/8 or x = 9/6
x = 5/8 or x = 3/2
To check for extraneous solutions, we check both solutions in the original equation.
<em>Check solution 5/8:</em>
2|7 - 7x| = 2x + 4
|7 - 7x| = x + 2
|7 - 7 * 5/8| = 5/8 + 2
|56/8 - 35/8| = 5/8 + 16/8
21/8 = 21/8
<u>Solution x = 5/8 works.</u>
<em>Check solution 3/2:</em>
2|7 - 7x| = 2x + 4
|7 - 7x| = x + 2
|7 - 7 * 3/2| = 3/2 + 2
|14/2 - 21/2| = 3/2 + 4/2
|-7/2| = 7/2
7/2 = 7/2
<u>Solution 3/2 also works.</u>
Answer: x = 5/8 or x = 3/2
Answer:
<em>The 15th term is 10.25</em>
Step-by-step explanation:
<u>Sequences</u>
The given sequence:
-0.25, 0.5, 1.25, 2, 2.75...
can be categorized as an arithmetic sequence. To better know, we try to find a common difference between successive terms:
0.5 - (-0.25) = 0.75
1.25 - 0.5 = 0.75
2 - 1.25 = 0.75
Once we are certain it's an arithmetic sequence, we find the general term by using the formula:
Where n is the number of the term, a1 is the first term, and r is the common difference. We have already found that:
r=0.75
a1=-0.25
The 15th term (n=15) is:
The 15th term is 10.25
I think there is 9.
before it was simplified it might have been 6:9
then you simplify by 2 and get 3:2.
But i might be wrong so idk
Answer: 130
Step-by-step explanation:
Plug in 3 for x
Answer: See below
Step-by-step explanation:
Simplify: