I THINK you just multiply all the numbers together so, 12x33x55x55=1,197,900
We have that
F(x)=x²<span>-10x+44
</span><span>Group
terms that contain the same variable
</span>f(x)=(x²-10x)+44
<span>Complete
the square Remember to balance the equation
</span>f(x)=(x²-10x+25-25)+44
Rewrite as perfect squares
f(x)=(x-5)²-25+44
f(x)=(x-5)²+19
this is the equation of a vertical parabola with vertex (5,19)
see the attached figure
Answer:
$465 at Back Street
$515 at Main Street
Step-by-step explanation:
980 (total) - 50 (the difference between the two) = 930
930/2 = 465 (back street)
465 + 50 (the difference) = 515 ( main street)
CHECK: 465 + 515 = 980
The answer is 3 because 27 fits into 81 3 times
Does this help?
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