Answer: y = -5x² - 10x + 2
Step-by-step explanation:
<u>Given quadratic function</u>
y = -5 (x + 1)² + 7
<u>Given requirement</u>
Quadratic Standard Form: y = ax² + bx + c
<u>Simplify the exponents</u>
y = -5 (x + 1) (x + 1) + 7
y = -5 (x² + x + x + 1) + 7
y = -5 (x² + 2x + 1) + 7
<u>Expand the parenthesis by distributive property</u>
y = (-5) · x² + (-5) · 2x + (-5) · 1 + 7
y = -5x² + (-10x) + (-5) + 7
y = -5x² - 10x - 5 + 7
<u>Combine like terms</u>
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Answer:
Step-by-step explanation:
By definition, the perimeter of a rectangle is:
Where "l" is the lenght and "w" is the width.
If you solve for "l":
In this case, you know that the following expression represents the perimeter of the rectangle:
And the width of that rectanle is represented wih this expression:
Therefore, based on the explained above, you can conclude that the lenght of that rectangle is given by:
Finally, simplifying the expression, you get: