Answer:
<em>x = -6</em>
Step-by-step explanation:
<u>Equations</u>
Solve the equation:
x + 6 = -x - 6
We must find the value of x that makes the identity above true.
Let's join all the variables on the left side and the numbers on the right side.
Adding x:
x + 6 + x = -x - 6 + x
The variables cancel out on the right side:
2x + 6 = -6
Subtracting 6:
2x + 6 - 6 = -6 -6
The 6 and -6 are canceled out:
2x = -12
Dividing by 2:
x = -12/2
x = -6
Answer:
the roots are {-4/3, 4/3}
Step-by-step explanation:
Begin the solution of 11=6|-2z| -5 by adding 5 to both sides:
11=6|-2z| -5 becomes 16 = 6|-2z|.
Dividing both sides by 12 yields
16/12 = |-z|
There are two cases here: first, that one in which z is positive and second the one in which z is negative.
If z is positive, 4/3 = -z, and so z = -4/3, and:
If z is negative, 4/3 = z
Thus the roots are {-4/3, 4/3}
Step-by-step explanation:
Choosing 4 digits out of 10 = 10C4 = 210.
Arranging the 4 digits in 4 places = 4!
Total number of ways to arrange digits
= 210 * 4! = 5040.
Choosing 2 letters out of 26 = 26C2 = 325
Arranging the 2 letters in 2 places = 2!
Total number of ways to arrange letters
= 325 * 2! = 650.
Total number of possible license plates
= 5040 * 650 = 3,276,000.
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