Two lines that are parallel have the same slope. Thus, find the slope of the line (J) thru (4,2) and (5,1), and that will be the answer to your question.
2-1 1
m = --------- = ------ = -1 (answer)
4-5 -1
The correct answer is C. 4.
Typically, we look to multiply by the bottom number (the denominator) in order to get fractions to cancel out. If we multiply 1/6 by 6, we get just 1, which is why we do it.
In this problem, you have two different denominators, 2 and 4. If you multiply them all by 2, the term -3/4m will still be a fraction.
-3/4m * 2 = -3/2m
As a result, we must try 4 instead. This causes all of them to cease being a fraction. Even the one with 2 as a denominator.
-1/2 * 4 = -2
Answer:
a)
b) The population increases 7.1% each year.
Step-by-step explanation:
The continuous population growth model is given by:
In which is the population after t years, is the initial population and r is the growth rate.
In this problem, we have that:
A population grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.
This means that
a) Write a function to model the population increase.
b) By what percent does the populaiion increase each year?
So the population increases 7.1% each year.
Answer:
12
Step-by-step explanation:
Answer:
The expression that shows how long the two machines will operate simultaneously is:
Step-by-step explanation:
We know that:
x: hours to manufacture a deck of cards for machine A
y: hours to manufacture a deck of cards for machine B
z: hours that machine A operates alone
The number of decks manufactured only by machine A is:
So, the remaining decks are given by:
Then, the combined rate of machines A and B would be:
The work-rate formula is:
Hence, the time that the two machines work simultaneously is: