The linear equation that represents the scenario is 5x + 2.5y = 20
<h3>How to determine the equation?</h3>
The given parameters are:
- Popcorn = $5 per bag
- Candy = $2.5 per bag i.e. half the price of pop corn
Let x represents popcorn and y represents candy.
So, we have:
5x + 2.5y = 20
The intercepts in this case are the maximum number of candy and popcorn Rhonda can buy
See attachment for the graph
Read more about linear functions at:
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Answer:
a=2
Step-by-step explanation:
subtract 10 from both sides
2a^3=26-10
simplify
2a^3=16
Divivde both side by 2
a^2=16/2
simplify
a^3=8
Answer: The only graph that shows a proportional relationship is the line that crosses the origin point (0,0).
Explanation
The other graphs are linear functions but not not proportional relationships.
The general form of a proportional relationship is y = kx, where k is the proportionality constant. So, for x = 0 you will always obtain y = 0.
The general form of a linear relationshio is y = kx + b, being b the y-intercept, so if the y-intercept is not 0, it is not a proportional relationship. That is what happens with the other three graphs.
Answer:
y - 7 = 3(x - 3)
y - 7 = 3x - 9
y = 3x - 2
Step-by-step explanation:
Hope this helped you!
<u>Answer:</u>
Mid point = 
<u>Step-by-step explanation:</u>
We are given the coordinates of the end points of a line segment AB and we are to find the coordinates of its mid point.
The coordinates of the end points are: A (-1, -2) and B (6, 12).
We know the formula of the mid point:
Mid point = 
So putting in the given values to find the mid point of line segment AB:
Mid point =
= 