Answer:
n and (n - 1) are consecutive integers.
Step-by-step explanation:
We are given 'n', a positive integer.
This 'n' can either be odd or even.
Case I:
When 'n' is odd
The n - 1 is even.
Note that the product of odd and even is always even. That is the product of n and (n - 1) is even.
Case II:
when 'n' is even
Then n - 1 is odd.
Again, using the similar logic we can say that the product of n and n - 1 should be even because here, 'n - 1' is even and 'n' is odd.
Answer:
$64.83.
Step-by-step explanation:
Each year the multiplier fffor her new rate will be 1.05.
So after 30 years her hourly rate will be 15 * 1.05^30
= $64.83
Answer:
Step-by-step explanation:
See the attached image
Answer:
5x - 2y = -2
Step-by-step explanation:
When subtracting one equation from the other, we are essentially just subtracting the left side of the second equation from the left side of the first equation and doing the same thing with the two right sides.
Here, we are subtracting (-7x + 3y) from (-2x + y):
(-2x + y) - (-7x + 3y)
Let's get rid of these parentheses. Remember that when we have a subtraction sign before a parentheses, we need to distribute a -1 to each term within those parentheses:
(-2x + y) - (-7x + 3y) = -2x + y + 7x - 3y = -2x + 7x + y - 3y = 5x - 2y
Now on the right side, we're subtracting 2 from 0:
0 - 2 = -2
Put it all together:
5x - 2y = -2
Hope this helps!
The <u><em>correct answer</em></u> is:
d) People per hour, because the dependent quantity is the people
Explanation:
In this situation, the two quantities are people and hours. These are the two things in this problem we can count or measure.
The independent variable is the one that causes a change, while the dependent variable is the one that <em>gets</em> changed. In this situation, the number of people change every hour; this means the number of people <em>gets</em> changed, which makes it the dependent variable. This means that the independent variable must be time.
Since people is dependent and time is independent, "people per hour" would be the best form of this statement.
