Answer:
9
Step-by-step explanation:
y= mx+b
m is slope
b is y-int
Answer:
$192
Step-by-step explanation:
The cost function is given as:
C(x)=18x+240
The price function is given as:
p(x)= 90 - 3x
The revenue R(x) is the product of the price and the number of products. It is given by:
R(x) = xp(x) = x(90 - 3x) = 90x - 3x²
The profit P(x) is the difference between the revenue and the cost of production. Therefore:
P(x) = R(x) - C(x) = 90x - 3x² - (18x + 240) = 90x - 3x² - 18x - 240
P(x) = -3x² + 72x - 240
The standard equation of a quadratic equation is ax² + bx + c. The function has a maximum value at x = -b/2a
Since P(x) = -3x² + 72x - 240, the maximum profit is at:
x = -72/2(-3) = 12
at x = 12, the profit is:
P(12) = -3(12)² + 72(12) - 240 = -432 + 864 - 240 = $192
Answer:
O the first number line
Step-by-step explanation:
|a| = 6
|?| = absolute value
to find absolute value of a number, it must be a opposite number from the origina number
|a| = 6
|-6| = 6
6 = 6
Answer: The pre-image moves horizontally left.
The pre-image moved horizontally 3 units.
The pre-image moved vertically up.
The pre-image moved vertically 2 units.
Step-by-step explanation: