Answer:
Step-by-step explanation:
Given
Required
Simplify
Expand brackets
Open all brackets
Collect Like Terms
<em>Hence, the polynomial simplifies to </em><em> and it has a degree of 2</em>
It will increase by 10 individuals per 100 per year
Assuming this problem is a simplification problem, the best way to simplify a problem like this would be to combine the fractions. to combine fractions with different denominators, even with variables, would be to multiply and get equal denominators, and then simplify. To get equal fractions we simply multiply the 2nd denominator on both sides in the 1st and vice versa. In this case for the top we have 1/(z-4) and 2/(z+8), so then we multiply the denominators and get (z+8)/(z-4)(z+8) and 2(z-4)/(z-4)(z+8). To get the final numerator then we first multiply out the 2 and get 2z-8 on the right, then combine the two fractions by adding them, and get 3z/(z-4)(z+8). For the denominator we repeat the same process. We multiply the denominators to get 4(z-6)/(z+8)(z-6) and 3(z+8)/(z-6)(z+8) we simplify the numerators by multiplying the 4 and 3 to get 4z-24 and 3z+24, and then subtract. We then get 4z-24-3z-24 and so z-48 and (z-48)/(z-6)(z+8). So now we have 3z/(z-4)(z+8) for a numerator and (z-48)/(z-6)(z+8) as a denominator. we can multiply z-8 on both sides of the final fraction to cancel out the z-8, and so get 3z/(z-4)/(z-48)/(z-6). As you can no longer simplify anything this is your final fraction.
Answer:
Step-by-step explanation:
Let t represent the number of years since 2005.
We have been given that the number of people afflicted with the common cold C in the winter months steadily decreased by 202 each year from 2005 until 2010.
The number of people decreased in t years would be 
.
We are also told that in 2005, 12,073 people were afflicted. So 12,073 will be initial value.
We will represent our given information in an equation as 
, where,
m = Slope of line,
b = The initial value.
Since the number of people afflicted with the common cold C in the winter months steadily decreased, so slope will be negative.
Substitute the given values:
Therefore, our required equation would be .
Answer:
b
Step-by-step explanation:
20, the coefficient of this expression, is being divided by x, the variable. Therefore, the correct answer is b, division. Hope this helps!
