(2) Is each expression equivalent to the expression \( 48 a - 36 b \) ? Select Yes or No for each expression.
a. \( 30 ( 18 a - 6 b ) \)
b. \( 12 a + 36 ( a - b ) \)
c. \( 12 ( 3 a + a - 3 b ) \)
d. \( 4 ( 10 a + 2 a - 9 b )\)
Pregunta
Answer
No
Yes
Yes
Yes
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Determine the following limits. If infinite, specify \( \infty \) or \( - \infty \) . If an answer does not exist, explain why. (NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED) b. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
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9. A board game company models the profit on its latest board game using the quadratic relation
\( P = - 2 x ^ { 2 } + 28 x - 90 , \) where \( x \) is the number of games it produces in hundred thousands and \( P \) is the profit in millions of dollars.
a) What are the break-even points for the company?
b) What is the maximum profit that the company can earn?