You volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 15 children present in your va
1 answer:
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So if you subtract the 0 out from the left side, the equation is now 
. Since a x is common in both of the terms on the left side, you can factor it out, now making the equation look like 
. When factoring, each of the separate things (x and (x-3)), must equal zero while the other one doesn't matter. So in order for the equation to be 0, the only potential options for x is 0 and 3. Therefore x=0 and x=3 are the two solutions
ANSWER
3200 m²
EXPLANATION
Peter wants to build a fence around a rectangular field, except for one side because the river is there,
So, the total perimeter of the fence is,
And this is equal to 160 m. Solving for L,
The area of this field is,
Replace L with the expression we found from the perimeter,
The area is given by a quadratic function whose leading coefficient is negative, which means that the graph is a downward parabola and, therefore, the vertex is the maximum value of the area.
The x-coordinate of the vertex is given by,
In this case, x is W, a = -2, and b = 160, so the width of the field for the maximum area is,
And the length when W = 40 is,
And the area is,
Hence, the largest area of Peter's farm that can be fenced is 3200 square meters.
