Economic Market Supply For Gas Need Help With These Answer
1 answer:
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Answer:
- movie: $3.75
- video game: $5.75
Step-by-step explanation:
Two equations in two unknowns can be written:
3m +5v = 40
9m +7v = 74
These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to
- ax +by = c
- dx +ey = f
is given by ...
- ∆ = bd -ea
- x = (bf -ec)/∆
- y = (cd -fa)/∆
For the numbers above,
- ∆ = 5·9 -7·3 = 24
- m = (5·74 -7·40)/24 = 90/24 = 3.75
- v = (40·9 -74·3)/24 = 138/24 = 5.75
The rental cost for each movie is $3.75; for each video game, it is $5.75.
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The attached graph shows a graphing calculator solution to these equations.
The side length is 5 units, and the area is 25 square units
<h3>What are areas?</h3>The area of a shape is the amount of space it occupies
<h3>What is the area of a square</h3>The area of a square is the product of its dimensions
From the graph, the coordinates of the square can be assumed to be:
The side length of the square is then calculated using the following distance formula
So, we have:
The area of the square is the calculated as:
This gives
Hence, the side length is 5 units, and the area is 25 square units
See attachment for the diagram of the shape
Read more about areas at:
