A rocket launches upward off of a 18 ft platform with an initial velocity of 125 ft/sec creating the equation begin mathsize 18p
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The perimeter of a rectangle is represented by 4x^2 + 5x − 2. The perimeter of a smaller rectangle is represented by x^2 + 3x + 5. Which polynomial expression BEST represents how much larger the first rectangle is than the smaller rectangle?
A) 3x^2 + 2x − 7
B) 3x^2 + 2x − 3
C) 3x^2 + 8x + 3
D) 5x^2 + 8x − 7
<h3><u>Answer:</u></h3>Option A
The polynomial expression best represents how much larger the first rectangle is than the smaller rectangle is
Perimeter of a rectangle is represented by 4x^2 + 5x − 2
Perimeter of a smaller rectangle is represented by x^2 + 3x + 5
To Find : Polynomial expression that represents how much larger the first rectangle is than the smaller rectangle.
Which means we have to find difference between perimeter of both rectangles
Subtract the equation of perimeter of smaller rectangle from equation of perimeter of a larger rectangle
Difference = perimeter of a larger rectangle - perimeter of smaller rectangle
On removing the brackets we get,
Thus option A is correct
If you wrote the expression correctly, then
Is a polynomial, and thus defined everywhere: its domain is the set of all real numbers.
If, by chance, you meant
Then we must exclude the point x=4 from the domain, since that value would cause the denominator to vanish. So, the domain would be the set of real numbers, minus the number 4.