Answer:
<h2>A. 0</h2>
Step-by-step explanation:
The solution of the system of equations are the coordinates of the point of intersection.
We have two parallel lines. The intersection point does not exist.
Therefore, this system of equations has no solution.
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
y+2=y+2
Step 2: Subtract y from both sides.
y+2−y=y+2−y
2=2
Step 3: Subtract 2 from both sides.
2−2=2−2
0=0
Answer:
All real numbers are solutions.
Choices A and B have typos in them, so its not clear what you're trying to say for those parts. However, the domain of
is
meaning that x can be 0 or larger. In other words, we can't have x be negative. Similarly, y is the same story because
has the inverse
, but only when
, so therefore
as well. In short you can say both x and y are nonnegative.
To summarize so far, the domain is
and the range is 
Since x = 0 and y = 0 are the smallest x and y values possible, this means (x,y) = (0,0) is the left-most point or where the graph starts. This is the origin. Choice C is a true statement.
Choice D on the other hand is <u>not</u> a true statement. Graph out
and you'll see that a straight line does not form, but instead a nonlinear curve that grows forever. That growth gradually diminishes as x gets larger. Algebraically you can pick three points from the function and show that the slopes are different. Say the three points are P, Q and R. If you can show that slope of PQ does not equal slope of QR, then the function is not linear.
The two dice have PMFs


The sum of the two rolls can take on 8 different values:

The outcome of either roll is independent of the other, so that

a. Then PMF of
is

b. The histogram is nothing special, same as the discrete uniform distribution over the interval [0, 7].
Answer:
Step-by-step explanation: IDK