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____ [38]
3 years ago
15

A pet shop had 8 identical fish tanks in the shape of rectangular prisms. The width and height of each tank was (x - 7) inches a

nd the length was 8 inches more than its width. The expression below shows the maximum amount of water which all the tanks together can hold
8(x + 1)(x - 7)2

What does the factor (x - 7)2 represent?


The total base area of all the tanks
The total surface area of each tank
The area of the rectangular base of each tank
The area of a square shaped side of the tank
Mathematics
1 answer:
kipiarov [429]3 years ago
7 0
The area of rectangular base of each tank
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The graph is shown in figure below

The Solution Set is (-2,-3)

Step-by-step explanation:

We need to graph the equations and writ the solution.

For graphing we need to find the values of x and y.

For that, we need to solve the given equations:

2x + 1 = y\\-4x + 6y = -10

Let:

2x + 1 = y\,\,\,eq(1)\\-4x + 6y = -10\,\,\,eq(2)

We can solve this by using Substitution Method.

Putting value of y of eq(1) into eq(2) and finding value of x:

2x + 1 = y\,\,\,eq(1)\\-4x+6(2x+1)=-10\\-4x+12x+6=-10\\8x+6=-10\\8x=-10-6\\8x=-16\\x=-16/8\\x=-2

So, value of x = -2

Now put value of x in eq(1) to find value of y:

2x + 1 = y\\2(-2)+1=y\\-4+1=y\\y=-3

So, value of y = -3

Plotting on graph: x=-2 and y = -3

The graph is shown in figure below

The Solution Set is (-2,-3)

Keywords: graph the equations

Learn more about Graphing Equations at:

  • brainly.com/question/10541435
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Answer:

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