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Leona [35]
3 years ago
12

A farmer has a collapsable grain bag which can expand both vertically and horizontally as he needs it to. He wants to find a fun

ction to represent how much grain he can put in bag based on how much he has expanded it. When the bag is laying flat on the ground the area can be represented by the function f(x) = 3x2 + 1 and as the bag is raised up the height can be represented by the function g(x) = x+ 5. In terms of x, how much grain can the bag hold?
Mathematics
1 answer:
bija089 [108]3 years ago
6 0

Answer:

3x^{3}+15x^{2}+x+5

Step-by-step explanation:

We are told that the area of the bag can be represented by the function f(x)=3x^{2} +1 and as the bag is raised up its height can be represented by the function g(x)=x +5.

Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.  

\text{Volume of collapsible bag}=f(x)*g(x)  

\text{Volume of collapsible bag}=(3x^{2}+1)*(x +5)

After using distributive property we will get,

\text{Volume of collapsible bag}=3x^{2}(x+5)+1(x+5)

\text{Volume of collapsible bag}=3x^{3}+15x^{2}+x+5

Therefore, the collapsible bag can hold 3x^{3}+15x^{2}+x+5 grain.

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Step-by-step explanation:

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Total ratio=1+4=4

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2 years ago
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Step-by-step explanation:

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8 0
2 years ago
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svetoff [14.1K]

Answer:

The total distance of the rectangular garden is the perimeter of the garden.

Step-by-step explanation:

Since the garden is in a rectangular shape. So, the perimeter of the rectangular garden is the distance on which Mr. Hoges can build the fence. However, the perimeter can be determined by adding all the sides. A rectangular shape contains four sides and opposite sides are equal. Thus, it can be determined by using the below formula;

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3 0
3 years ago
Help pls i need this done tonight i dont have much longer
zvonat [6]
Answer:
Jessica wants 180 plants in her garden.

Step-by-step explanation:
The formula for the area of the triangle is (1/2)*base*height.
So here, Let’s say 8 feet is the base and 15 feet is the height.
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Note: * means the multiplication sign.
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Step-by-step explanation:

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