Answer:
Quotient ( x² -4x +10)
Reminder -2
Step-by-step explanation:
We have to consider the polynomial function g(x) = x³ - 3x² + 6x + 8
Now, we have to divide g(x) by (x+1)
Let us arrange the terms of g(x) to get (x+1) as common.
x³ - 3x² + 6x + 8
= x³ +x² -4x² -4x +10x +10 -2
= x² (x +1) -4x (x +1) +10 (x +1) -2
= (x +1)( x² -4x +10) -2
Hence, if we divide g(x) by (x +1) then the quotient will be ( x² -4x +10) and the reminder will be -2. (Answer)
Answer:
P = 2000 * (1.00325)^(t*4)
(With t in years)
Step-by-step explanation:
The formula that can be used to calculated a compounded interest is:
P = Po * (1 + r/n) ^ (t*n)
Where P is the final value after t years, Po is the inicial value (Po = 2000), r is the annual interest (r = 1.3% = 0.013) and n is a value adjusted with the compound rate (in this case, it is compounded quarterly, so n = 4)
Then, we can write the equation:
P = 2000 * (1 + 0.013/4)^(t*4)
P = 2000 * (1.00325)^(t*4)
Answer:
Step-by-step explanation:
Given
Romanticism
Gothic
Required
Complete the table <em>(See attachment for complete question)</em>
The table can be represented as:
The "total" column represents the number of males and female sampled, respectively.
The "total" row represents the number of Romanticism and Gothic sampled, respectively.
The overall sample is calculated by adding up the number of males and females or the number of Romanticism and Gothic
or
Slope equals rise over the run
so if slope = 5 then the rise also equals 5 and the run is 1
Answer:
x>-11
Step-by-step explanation:
2x+8>-14
2x>-14-8
2x>-22
x>-22/2
x>-11
x>-11
