Answer:
128
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask!!!
Ali’s final exam has true/false questions, worth 2 points each, and multiple choice questions, worth 5 points each. Let x be the
1 answer:
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Answer:
x ∈ (-∞, -1) ∪ (1, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:
So the roots are:
Therefore we can write the expression in the following way:
Now the expression is as follows:
Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that make up the expression:
We know that the first two are not allowed because they make the denominator zero.
Observe the attached image.
Note that:
when
when
and
is always
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)
This is the same as
x ∈ (-∞, -1) ∪ (1, ∞)
Answer:
D: 12
Step-by-step explanation:
The entire segment KI is composed of the segments KJ and JI. So:
We know that KI is 15.
KJ is (2x-15) and JI is (2x-6). Substitute:
Solve for x. Combine like terms:
Add 21 to both sides:
Hence, the value of x is:
We know that JI is 2x-6.
We will substitute 9 for x to find JI. So:
Hence, our answer is D.