A carpenter can build a toolshed three times as fast as his apprentice. Working
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Answer:
General Formulas and Concepts:
<u>Calculus</u>
- The derivative of a constant is equal to 0
Step-by-step explanation:
<u>Step 1: Define function</u>
y = 152 + 26 - 37
<u>Step 2: Simplify</u>
<em>Combine like terms</em>
y = 141
<u>Step 3: Find derivative</u>
<em>Derivative of any constant will be 0.</em>
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f(x) = - 2(x - )² -
the equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
• the coefficient of the x² term must be 1 , factor out - 2
= - 2(x² - x) - 2
• add / subtract (half the coefficient of the x-term )² to x² - x
= - 2(x² + 2(- )x +
-
) - 2
= - 2(x - )² +
- 2
= - 2(x - )² -