Answer:
expand the equation
then make q the subject of the formal
There are 2001 items in that set.
So n(A) = 2001
We can individually count them all out, which is very slow and tedious, or we can use the formula
n-m+1
where,
m = starting value
n = ending value
In this case,
m = 0
n = 2000
So,
n-m+1 = 2000-0+1 = 2001
This formula only works if we increase the number by 1 each time (eg: 6, 7, 8, etc)
A) The variable on the horizontal axis of the graph (the independent variable) is "pounds of rice". That is what the first number in the ordered pair (6, 18) represents.
The variable on the vertical axis of the graph (the dependent variable) is "total cost in dollars". That is what the second number in the ordered pair represents.
(6, 18) represents that the total cost of purchasing 6 lbs of rice is $18.
B) The unit price is found at the point where the independent variable has the value 1. That would be at the point (1, 3), which indicates the unit price is $3 per pound.
C) You would have to buy 4 lbs of rice for the total cost to be $12. There are at least two ways to find the answer.
- Draw a horizontal line on the graph at cost = $12. It intersects the graph at lbs = 4.
- Divide the total cost by the unit price. $12/($3/lb) = 4 lb.
250 and - 1250
This is a geometric sequence with common ratio r = - 5
multiply each term by - 5 to obtain the next term
- 50 × - 5 = 250
250 × - 5 = - 1250
the sequence is - 2, 10, - 50, 250, - 1250