Consider that,
x^2+4x+4 = (x+2)(x+2)
x^2+7x+10 = (x+2)(x+5)
Dividing those expressions leads to
(x^2+4x+4)/(x^2+7x+10) = (x+2)/(x+5)
The intermediate step that happened is that we have (x+2)(x+2) all over (x+2)(x+5), then we have a pair of (x+2) terms cancel as the diagram indicates (see below). This is where the removable discontinuity happens. Specifically when x = -2. Plugging x = -2 into (x+2)/(x+5) produces an output, but it doesn't do the same for the original ratio of quadratics. So we must remove x = -2 from the domain.
Answer: x= -8
Step-by-step explanation:
<span> y+15.5=|x|
</span><span> y=|x|-15.5 </span>
Answer:
-1/6
Step-by-step explanation:
-1/2 + ( 3/4 x 4/9)
PEMDAS says parentheses first
Rearranging the fractions
-1/2 + ( 3/9 x 4/4)
-1/2 + (1/3*1)
-1/2 + 1/3
Getting a common denominator of 6
-1/2 *3/3 + 1/3 *2/2
-3/6+2/6
-1/6
Answer:
The answer is spread from 1 to 6! This is because the dots are spread through numbers 1-6 and there are no gaps.