Answer:
we have two solution x = 5 and x = 11
but in given problem x = 5 and x = –11
thus, only one of his solution x = 5 is correct
Step-by-step explanation:
Given
–2|8 – x| – 6 = –12
adding 6 both sides
–2|8 – x| – 6 +6= –12 +6
–2|8 – x| = –6
dividing both side by -2
–2|8 – x| /-2 = –6/-2
=>|8 – x| = 3
we know that
in modulus function |Y| = -y or y
Thus
|8 – x| = 3
can be written as
8-x = 3 or 8- x = -3
8-x-3 = 0 or 8-x+3 = 0
5-x = 0 or 11 -x = 0
x = 5 or x = 11
thus, we have two solution x = 5 and x = 11
but in given problem x = 5 and x = –11
thus, only one of his solution x = 5 is correct
The nth term of the arithmetic sequence is Tn = -7 + ( n - 1) 6
<h3>What is an arithmetic sequence?</h3>
An arithmetic sequence is defined as a sequence of numbers where the differences between every two consecutive terms is the same through out the sequence.
The nth term of an arithmetic sequence is expressed as;
an = a + ( n - 1) d
Where;
- a is the first term
- n is the number of terms
- d is the common difference
Substitute the values
an = -7 + ( n - 1) 6
Thus, the nth term of the arithmetic sequence is Tn = -7 + ( n - 1) 6
Learn more about arithmetic sequence here:
brainly.com/question/6561461
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X^4 - 3x^2 + 2
= (x^2 - 1)(x^2 - 2)
Note that x^-1 is the difference of 2 squares:-
= (x + 1)(x - 1)(x^2 - 2) Answer
x/4 >= -8
Multiply both sides by 4.
x >= (-8)(4)
x >= -32
