Answer:
13
Step-by-step explanation:
Given number = -48
Listing out the possible factors of -48 in pairs along with their difference:
Factors (
) Difference (
) Difference (
)
-26 26
26 -26
-19 19
19 -19
-16 16
16 -16
-14 14
14 -14
On listing out the factors we find out that two of the pairs have difference = 19
The pairs are 
and 
It is given that the factor with greater absolute value is positive. This means 16 would be positive while 3 would be negative.
So, our factors are
The sum of the factors is = 
(Answer)
Answer:
<h3>
x=144</h3>
Step-by-step explanation:
h²=65²-25²=4225-625=3600
h²=x*25
x=h²:25
x=3600:25
<h3>
x=144</h3>
Step-by-step explanation:
You have to substitute... 0, 5, & 10, & 3
y = 2x + 3
y = 2(0) + 3
y = 0 + 3
y = 3
(0,3)
y = 2x + 3
y = 2(5) + 3
y = 10 + 3
y = 13
(5,13)
y = 2x + 3
y = 2(10) + 3
y = 20 + 3
y = 23
(10,23)
y = 2x + 3
y = 2(3) + 3
y = 6 + 3
y = 9
(3,9)
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, ∞)
