Hello there.
First, assume the numbers such that they satisties both affirmations:
- The sum of the squares of two numbers is .
- The product of the two numbers is .
With these informations, we can set the following equations:
Multiply both sides of the second equation by a factor of :
Make
We can rewrite the expression on the left hand side using the binomial expansion in reverse: , such that:
The square of a number is equal to if and only if such number is equal to , thus:
Substituting that information from in , we get:
Calculate the square root on both sides of the equation:
Once again with the information in , we have that:
The set of solutions of that satisfies both affirmations is:
This is the set we were looking for.
$0.50/ (1/4 pound)= $2.00/pound.
The final answer is $2.00 per pound~
Factoring we get
F(x) = (x - 7)(x + 5) / (x - 7)(x - 2)
The restrictions are x not equal to 2.
Take 45.36 *.08 to get the price of the sweater 45.36 *.08 =3.6288 so take 45.36-3.63= 41.73 and take 41.73 *.25 = 10.4325 take 41.73+10.43=52.16 is the original price of the sweater
Answer:
Step-by-step explanation:
any picyures?