Write an equation for y in terms of x.
y = __x² + __x + __
If the rectangle must be at least 4 feet wide, what is the range of possible areas that Nicky can surround? Complete the inequality to represent the area.
__ ≤ y ≤ __
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To write an equation for ( y ) in terms of ( x ), we need to know the coefficients for ( x^2 ) and ( x ). However, since these coefficients are missing from your question, I can’t provide specific values. You might want to try substituting values based on the context.
Now, for the rectangle area question: if the rectangle is at least 4 feet wide, we can express the area ( A ) as:
[ A = text{length} times text{width} ]
Given that the width is at least 4 feet, the area can be represented as:
[ A = text{length} times x quad text{where } x geq 4 ]
Now, if ( A ) is in terms of ( y ), we can denote this as:
[ 4x leq y ]
Assuming the length of the rectangle can be any non-negative value, we conclude for the area inequalities:
[ 0 leq y ]
So, the complete inequality representing the area would be:
[ 0 leq y leq text{(some upper limit depending on other constraints)} ]
If you have additional information, feel free to provide that for a more specific answer!