Answer:

Step-by-step explanation:



The equation 2v-41=0 can be used to find the number of visits that would make two memberships cost the same amount.
Step-by-step explanation:
Given,
Per month charges of type 1 = $86
Per visit charge = $3
Let,
v be the number of visits.
T(v) = 3v+86
Per month charges of type 2 = $45
Per visit charge = $5
P(v) = 5v+45
For same amount to be charged;
T(v) = P(v)

The equation 2v-41=0 can be used to find the number of visits that would make two memberships cost the same amount.
Answer: Graph D (bottom right corner)
======================================================
Explanation:
The equation y = 3x+3 is in slope intercept form y = mx+b
m = 3 = slope
b = 3 = y intercept
In this case, both the slope and y intercept are the same (though in general they tend not to be).
The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3
Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.
You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.
Answer:
The System of linear equations are:

Step-by-step explanation:
Here, a represents the number of 2-points and b represent the number of 3-point basket.
As per the statement:
The basketball team scored 82 points from 2- points and 3-points baskets.
⇒
It is also given that: They make 38 baskets altogether.
⇒
therefore, the system of linear equations are:

We can use the substitution method to solve this problem.
The second equation is

, so we can plug in 2x for 'y' in the first equation:


Multiply:

Combine like terms:

This is the x-value of our solution, we can plug this into any of the two equations to find the y-value:


Multiply:

This is the y-value of our solution. So our entire solution is (3, 6).