Let's call the two numbers 
and 
.
Given these variables, we can say: 
, based on the first sentence in the problem.
Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:
To solve, we can simply substitute 
in for in the second equation and solve.
- Get terms on the left side to a common denominator for easier addition
- Cross multiplication (
)
- Subtract
from both sides of the equation
- Factor left side of the equation
Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,
,
Since is not positive in this case, 
is not a solution.
Thus, 
is our only solution. In this case,
,
which means that the smaller number is 14 and the larger number is 28.
Answer:
y = 0.125x + -1.375
Step-by-step explanation:
You can try and use desmos.com to help you graph these 2 points. My algebra teacher recommended it if you don't have a physical graphing calculator!
Answer:
15000
Step-by-step explanation:
Given that a professor wants to know how undergraduate students at X University feel about food services on campus, in general. She obtains a list of email addresses of all 15,000 registered undergraduates from the registrar’s office and mails a questionnaire to 300 students selected at random.
Only 150 questionnaires are returned.
So the sample size changed to 150. But population is the number of registered undergraduates which do not change.
Population size = 15000
Replace the x with 9, and the y with 1.
(x · y²)/-5 becomes (9 · 1²)/-5
1² is just 1, so you're doing 9 × 1 (which is = 9) over -5.
Therefore, your final answer is -9/5.
