We will have the following:
First, we will have that the population change by:
So, the population changed by 703 people.
It took the follwoing number of years to change from 1431 to 2134:
So, it took 4 years to changes from 1431 to 2134.
The average population growth per year is of 175.75 people per year.
The population in 2000 would have been:
So, the population in 2000 would have been approximately 1429 people.
We will have that the equation for the population would be:
So, the equation would be:
Now, we predict the number of people of the town in 2014:
So, there will be approximately 3890 people of the town in 2014.
Answer:
Its the first choice: right, scalene.
Step-by-step explanation:
It is a right angled triangle, (indicated by the little square at Q).
The sides have different lengths so it scalene.
Part 1: Answer:
(x+1)(x+1)(x-6) = x^3 - 4x^2 - 11x - 6
Step-by-step explanation:
To make r a root, include (x-r) as a factor. (-1+1)(-1+1)(-1-6) is zero even though (-1-6) isn't.
(6+1)(6+1)(6-6) is zero.
Part 2 Answer:
Standard form: y = -x^4 + 12
Degree 4
left end goes down, right end goes down.
Step by step: apply the definitions of standard form, polynomial degree, and "end behavior". In other words, read the textbook.
Part 3: Answer: x = 3, x = 8
Step by step:
x^2-11x = -24
x^2-11x+24 = 0
(x-3)(x-8) = 0
x = 3 or x = 8
Part 4a Answer:
quotient 2x^2 + x - 3
remainder 1
Step by step:
2x^2 + x - 3
___________________
x-4 ) 2x^3 - 7x^2 - 7x + 13
2x^3 - 8x^2
__________
0 + x^2 - 7x + 13
x^2 - 4x
____________
0 - 3x + 13
- 3x + 12
______
1
Part 4b answer:
quotient 2x^2 - 6x + 2
remainder -20
Step by step: you have to know exactly what you are doing. Refer to textbook or Wikipedia.
dividend 2x^3 +14x^2 - 58x
divisor x+10
leading coefficient of divisor must be 1
write coefficients of dividend at top
write coefficients of dividend at left
| 2 14 -58 0
-10 | -20 60 -20
___________
| 2 -6 2 -20
Coefficients of quotient are 2 -6 2
Remainder is -20
quotient = 2x^2 - 6x + 2
Answer:
m=a/x+Q
Step-by-step explanation:
Q=m-a/x
To solve this we need to isolate m so we will bring -a/x to the other side of the equal sign so it will become positive i.e. ax now will be written as a/x+Q=m
in other wards m=a/x+Q
Answer:
m= -2
b = 3
Step-by-step explanation:
Take two points from line.
(0,3) and (1,1)
now slope(m) = (1-3)/(1-0)
m = -2
now
y = mx+b
or, 3 = -2×0+b
or, 3 = 0+b
so, b = 3
