Answer:
A linear function is represented
Step-by-step explanation:
The table is:
x f(x)
0 10.00
1 10.02
2 10.04
3 10.06
4 10.08
5 10.10
If we compute the difference between two consecutive function values and we divide it by the difference between their associated x values we get:
(10.02 - 10.00)/(1-0) = 0.02
(10.04 - 10.02)/(2-1) = 0.02
(10.06 - 10.04)/(3-2) = 0.02
(10.08 - 10.06)/(4-3) = 0.02
(10.10 - 10.08)/(5-4) = 0.02
This constant result indicates that a linear function is represented.
Answer:
f(x) has three real roots and two imaginary roots.
Step-by-step explanation:
Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).
Now we need to find about which of the given statements describes the number and nature of all roots for this function.
We know that imaginary roots always occur in conjugate pairs.
So if (4+i) is root then (4-i) must also be the root.
So now we have total 4 roots
-2, 2, (4+i) and (4-i).
Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs
So that means 5th root is real.
Hence correct choice is :
f(x) has three real roots and two imaginary roots.
The answer is 2 = p
Explanation: Here the goal is to get the variable "p" by itself, so first your have to distribute 2 to (p-12) which gives you -10p = 2p-24. Then you add 10p on both sides so that the variable is on one side. Then you add 24 to both sides. After that you divide 12 from both sides, giving you 2 = P
-10P = 2(p-12)
-10p = 2p-24
+10p +10p
0 = 12p-24
+24 +24
24 = 12p
24÷12 = 12p÷12
2 = p
So to find 6% of 299.99, you should multiply it by 0.06%. Therefore you get about 17.99 which is the total tax. Add 299.99(total) and 17.99(tax) together, and you final answer should be around $317.98
Answer:
20,158 cases
Step-by-step explanation:
Let 
represent year 2010.
We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.
Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.
We can represent this information in an exponential decay function as:
To find number of cases in 2020, we will substitute 
in our decay function as:
Therefore, 20,158 cases will be reported in 2020.
