Answer:
17.0710678119 and 2.92893218813
Step-by-step explanation:
Theoretically, the wire should come out to be x+y=80,
and the sum of the areas of the squares should be (x/4)^2+(y/4)^2=300.
x/4 and y/4 being the length of one side of the square, we would then square that to find the area. The total wire is all x+y=80. X being one part and Y being the other.
Theoretically, using systems. i found the answers: 68.2842712474619,11.715728752538098
Again, these numbers are very large, and I they actually do both add up to each amount basically perfectly. If your teacher is asking for a rounded answer, that would've been helpful to know. But again, theoretically, those are the answers.
Given that
and
, we can say the following:

Now, remember what happens if we have a negative square root: it becomes an imaginary number. We don't want this, so we want to make sure whatever is under a square root is greater than 0 (given we are talking about real numbers only).
Thus, let's set what is under both square roots to be greater than 0:


Since both of the square roots are in the same function, we want to take the union of the domains of the individual square roots to find the domain of the overall function.

Now, let's look back at the function entirely, which is:

Since
is on the bottom of the fraction, we must say that
, since the denominator can't equal 0. Thus, we must exclude
from the domain.
Thus, our answer is Choice C, or
.
<em>If you are wondering why the choices begin with the
symbol, it is because this is a way of representing that
lies within a particular set.</em>
Answer:
Number of adult tickets sold= 100
Step-by-step explanation:
Giving the following information:
Adults tickets= $15
Student tickets= $10
Number of tickets sold= 150
Total sales= $2,000
<u>First, we determine the systems of equations:</u>
15*x + 10*y= 2,000
x + y = 150
x= number of adults tickets sold
y= number of students tickets sold
<u>Now, we isolate x in one equation, and substitute it in the other one:</u>
x= 150 - y
15*(150 - y) + 10y = 2,000
2,250 - 15y + 10y = 2,000
250 = 5y
50= y
x= 150 - 50
x= 100
<u>Prove: </u>
15*100 + 10*50= 2,000
100 + 50 = 150
Answer:
Let's simplify step-by-step.
4x+1+17
Combine Like Terms:
=4x+1+17
=(4x)+(1+17)
=4x+18
Answer:
=4x+18