Answer:
-2, 3, -0.5 + 0.866i, -0.5 - 0.866i.
Step-by-step explanation:
As the last term is -6 , +/- 2 , +/- 3 are possible zeroes.
Try 2:-
(2)^4 - 6(2)^2 - 7(2) - 6 = -28 so 2 is not a zero.
3:-
(3)^4 - 6(3)^2 - 7(3) - 6 = 0 so 3 is a zero.
(-2)^4 - 6(-2)^2 - 7(-2) - 6 = 0 so -2 is also a zero.
Divide the function by (x +2)(x - 3), that is x^2 - x - 6
gives x^2 + x + 1
x^2 + x + 1
So we have x^2 + x + 1 = 0
x = [-1 +/- √(1^1 - 4*1*1)] / 2
= -1 + √(-3) / 2 , - 1 - √(-3) / 2.
= -0.5 + 0.866i, -0.5 - 0.866i
Answer:
98
Step-by-step explanation:
Answer:
Growth function.
The number of students enrolled in 2014 is 1162.
Step-by-step explanation:
The number of students in the school in t years after 2002 can be modeled by the following function:
In which N(0) is the number of students in 2002 and r is the rate of change.
If 1+r>1, the function is a growth function.
If 1-r<1, the function is a decay function.
In 2002, there were 972 students enrolled at Oakview High School.
This means that 
Since then, the number of students has increased by 1.5% each year.
Increase, so r is positive. This means that 
Then
Growth function.
Find the number of students enrolled in 2014.
2014 is 2014-2002 = 12 years after 2002, so this is N(12).
The number of students enrolled in 2014 is 1162.
Answer:
a) P = 0.08s +200
b) $488
c) $6250
Step-by-step explanation:
<h3>a)</h3>
Your answer is correct. The commission rate is multiplied by the sales amount, and that product is added to the guaranteed pay to get the paycheck amount:
P = 0.08s +200
__
<h3>b)</h3>
Fill in 3600 for s and do the arithmetic.
P = 0.08×3600 +200 = 288 +200 = 488
The paycheck amount will be $488.
__
<h3>c)</h3>
Use the equation for part (a) and solve for P = 700.
700 = 0.08s +200
500 = 0.08s . . . . . . subtract 200
500/0.08 = s = 6250 . . . dollars; divide by the coefficient of s to get this
Sales would have to be $6250.
