Answer:
Luis has 30 cards
Step-by-step explanation:
To solve this problem, we need to setup a system of equations.
If we call the amount of cards Juan has "J", Pedro "P", Maria "M" and Luis "L", we have that:
J + P + M + L = 62
P = J/3
M = J - 3
L = 2J
Substituting P, M and L in the first equation, we have:
J + J/3 + J - 3 + 2J = 62
13J/3 = 62 + 3
13J = 65 * 3
J = 15 cards
The amount of cards Luis has is:
L = 2J = 2 * 15 = 30 cards
Answer:
-1/2
Step-by-step explanation:
Answer:
y 》 2
y > -x + 3
Step-by-step explanation:
Equation of the bold line:
m = (-3/3) = -1
y = -x + 3
Shaded region is below y=2 (dotted)
So, it's defined by y < 2
Also, it's below the bold line
y 《 - x + 3
Everything outside these is not shaded:
y 》2
and y > -x + 3
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>
