Answer:
First choice
Step-by-step explanation:
The discontinuity is removable if by reducing the fraction that discontinuity doesn't continue to exist as a discontinuity.
Example of, (x-1)/(x-1) has a a discontinuity at x=1 and it's removable because the fraction reduces to 1 which doesn't have a discontinuity at x=1.
Example not of, (x-1)/(x-2) has a discontinuity at x=2 and it is not removable because we can't get rid of the x-2 factor in the denominator.
The first choice has a discontinuity at x=-1 and it is removable because x^2-x-2=(x-2)(x+1) and the x+1's will cancel on top and bottom making the point at x=-1 a removable discontinuity.
Answer:
The answer is <u>g = 0.5</u>
Step-by-step explanation:
1. Your equation is :
<em>9+3.5g=11-0.5g</em>
2. First, multiply both sides by ten
<em>9 * 10 + 3.5 * 10 = 11 * 10 - 0.5 * 10</em>
3. Next we refine the equation
<em>90 + 35g = 110 - 5g</em>
4. Now, lets subtract 90 from both sides
<em>90 + 35g - 90 = 110 - 5g - 90</em>
5. Simplify
<em>35g + 5g = -5g + 20 + 5g</em>
6. We then add 5g to both sides
<em>35g + 5g = -5g + 20 + 5g</em>
7. Simplify again
<em>40g = 20</em>
8. Now, divide both sides by 40
<em>40g/40 = 20/40</em>
9. And finally, simplify once again to get your final answer.
<em>g = 1/2 or 0.5</em>
I hope this helped :)
Answer:
- The vaccine decreases the risk of contracting chickenpox by 75 percentage
Step-by-step explanation:
Risk of contracting chickenpox is reduced from 80% to 20%.
<u>This reduction in percentage is:</u>
<u>Correct choice is:</u>
- The vaccine decreases the risk of contracting chickenpox by 75 percentage
Answer:
17.5
Step-by-step explanation:
The ratio of "pure drug" to liquid is 35:150
Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2
we can then multiply 35 by the ratio 1/2
35/2=17.5
State the answer
In 75 mls there are 17.5 grams of pure drug
Answer:
x = -3/2, -2
Step-by-step explanation:
2x^2 + 7x + 6 = 0
(2x + 3)(x + 2) = 0
(2x + 3)
2x = -3
x = -3/2
(x + 2)
x = -2
