Consider the system of linear equations 2x + 3y = 8 and 3x+y=-2. Which statement is correct
2 answers:
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For this case, the first thing to do is find the equation of the line in order to model the problem mathematically.
Using Excel (see attached image) we find that the equation of the line is:
y = 0.0035x - 3
We evaluate for:
For x = 7000:
y = 0.0035 * (7000) - 3
y = 21.5 $
For x = 10000
y = 0.0035 * (10000) - 3
y = 32 $
For x = 13000
y = 0.0035 * (13000) - 3
y = 42.5 $
Answer:
The total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons is:
21.5 $, 32 $, 42.5 $, respectively.
Using Excel (see attached image) we find that the equation of the line is:
y = 0.0035x - 3
We evaluate for:
For x = 7000:
y = 0.0035 * (7000) - 3
y = 21.5 $
For x = 10000
y = 0.0035 * (10000) - 3
y = 32 $
For x = 13000
y = 0.0035 * (13000) - 3
y = 42.5 $
Answer:
The total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons is:
21.5 $, 32 $, 42.5 $, respectively.
To solve the problem we will put the values given to us in the formula of volume of a prism.
<h2>Prism</h2>A prism is a 3d shape whose two sides are the base sides which are polygon, with the other faces as parallelograms.
The height of the prism is .
Given to us
- volume of a rectangular prism = (x3 – 3x2 5x – 3),
- area of its base = (x2 – 2)
- the volume of a rectangular prism is the product of its base area and height,
As given to us,
Substituting the values we get,
Hence, the height of the prism is .
Learn more about Volume of Prism: