Answer:
If you draw this out, you can see that total fence equation will be:
2L + 4W = 1200
Simplify, divide by 2
L + 2W = 600
L = (600-2W)
:
Area;
A = L*W
Substitute (600-2W) for L:
A = (600-2W)*W
A = -2W^2 + 600W; a quadratic equation
:
The dimension that will produce the greatest area will be the "axis of symmetry
which is: x = %28-b%29%2F%282a%29
:
In this equation a=-2, b=600
W = %28-600%29%2F%282%2A-2%29
W = %28-600%29%2F%28-4%29
W = +150 ft is the width
:
Find the length
L = 600 - 2(150)
L = 300 ft is the length
:
We can say the a field 300 by 150 gives he greatest area
:
This illustrated on a graph where y axis is the area and x axis is the width:
Step-by-step explanation:
Answer:
f(x) + g(x) = 2x² - 5x - 8 ⇒ 2nd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- We can add to functions by adding the like terms in them
∵ f(x) = 2x² + 3x - 4
- f(x) is a quadratic function because the greatest power of x is 2
∵ g(x) = -8x - 4
- g(x) is a linear function because the greatest power of x is 1
∵ f(x) + g(x) means (f + g)(x)
∴ f(x) + g(x) = (2x² + 3x - 4) + (-8x - 4)
- Add the like terms
∵ 3x + -8x = -5x
∵ -4 + -4 = -8
∴ f(x) + g(x) = 2x² + -5x + -8
- Remember (+)(-) = (-)
∴ f(x) + g(x) = 2x² - 5x - 8
* f(x) + g(x) = 2x² - 5x - 8
Answer:
54
Step-by-step explanation:
Since there are parantheses or however you spell them, by using PEMDAS, we do the parantheses first.
23 - 1 = 22
Now, we do the addition.
22 + 32 = 54
Answer:
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Step-by-step explanation: