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:
12
Step-by-step explanation:
We input 2 into each function:
w(2) = 3(2) - 2 = 4
v(2) = 2(2) + 7 = 11
k(2) = -6(2) - 7 = -19
Then we place our answers in w - v - k
(4) - (11) - (-19)
= 4 - 11 + 19
= 12
Answer:
-4
Step-by-step explanation:
I got it wrong and it showed me the answer.
The factors of
375: 1; 3; 5; 15; 25, 75, 125, 375
66: 1; 2; 3; 6, 11, 22, 33, 66
33: 1, 3, 11, 33
Answer:
59.4 times greater to the nearest tenth.
Step-by-step explanation:
5,028,000,000,000,000,000,000,000
= 5.028 * 10^24
So the required ratio = 5.028 * 10^24 / 8.46 * 10^22
= 0.594326 * 10^2
= 5.94326 * 10
= 59.4326.