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:
If your answer is multiple choice, try to look for a graph that matches these intercepts. I hope this helped you. Have a great rest of your day!
The sample space for the 3 different music CDs is as follows:
{JPR, JRP, PJR, PRJ, RJP, RPJ}
Answer B
There are 16 oz in a pound. 16(2)=32 and there are 4 oz leftover.
The company spends $649 on advertising
The sales function after advertising is given as:

When the total sales is $19,100, we have S(x) = 19100
So, the sales function becomes

Subtract 5 from both sides

Divide both sides by 7

Take exponents of both sides


Subtract 1 from both sides

Hence, the company spends $649 on advertising
Read more about functions at:
brainly.com/question/12940982