To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
Answer:
Step-by-step explanation:
Given
x² - 3x
To make the expression a perfect square
add ( half the coefficient of the x- term )²
x² + 2( - 
)x + , thus
x² - 3x +
= (x - )² ← a perfect square
Answer:
Calculator cost = $34
Step-by-step explanation:
x + (x+140) = 208
2x + 140 = 208
x=34
Answer:
work is shown and pictured
The price that will maximize profit is $ 5.50.
Since an auditorium has seats for 1200 people, and for the past several days, the auditorium has been filled to capacity for each show, and tickets currently cost $ 5.00 and the owner wants to increase the ticket prices, and he estimates that for each $ 0.50 increase in price, 100 fewer people will attend, to determine which is the price that will maximize profit, the following calculation must be made:
- 1200 x 5 = 6000
- 1100 x 5.5 = 6050
- 1000 x 6 = 6000
Therefore, the price that will maximize profit is $ 5.50.
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