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
The chance of you drawing a 10 is 1/13 and times 13 is a 1/1 chance of drawing a ten
Answer:
A. 42.71
Step-by-step explanation:
268.26 - 12.00 = 256.26
256.26/6=42.71
Answer:
2
Step-by-step explanation:
Order of operations is not as applicable in this situation because we're just dealing with addition and subtraction. This is a simple case of plugging in values for the given expression.
x = 3
z = 4
So it becomes...
3 + 3 - 4
6 - 4
2
So with the given expression of x + x - z and the given values of x = 3 and z = 4, the expression should sum to: 2
Example:
Linear absolute value inequalities all have a similar equation of |ax + b| < c, except they can be less than, greater than, less than or equal to, or greater than or equal to.
Hope this helped :)
