Answer:
Step-by-step explanation:
Parallel => <u><em>This means it has the same slope as this one.</em></u>
Slope = m = 1
Now,
Point = (x,y) = (-6,2)
So, x = -6, y = 2
<u><em>Putting this in slope intercept form to get b</em></u>
=> 2 = (1)(-6) + b
=> b = 2+6
=> b = 8
<u><em>Now putting m and b in the slope-intercept form to get the required equation:</em></u>
=>
=>
Answer:
432 yd squared
Step-by-step explanation:
This is a parallelogram. The area of a parallelogram is denoted by: A = bh, where b is the base and h is the height. Here, the base is b = 19 1/5 and the height is h = 22 1/2. Plug these in:
A = bh = (19 1/5) * (22 1/2)
To make this simpler, let's convert the numbers into decimals. 1/5 is just 0.2 so 19 1/5 is 19.2. 1/2 is just 0.5, so 22 1/2 is 22.5. Now we have:
A = 19.2 * 22.5 = 432
Thus the area is 432 yd squared.
Hope this helps!
Answer:
x + y ≤ 12
Step-by-step explanation:
Inequality:
Not more than 12 means less than or equal to 12
x + y ≤ 12
Answer:
a) $50,880
b) $48
c) 1060
Step-by-step explanation:
a)
-320x^2 + 1920x + 48000 = 0
This is a parabola that opens downward. It has a maximum value. The maximum value occurs at x = -b/(2a)
x = -b/(2a) = (-1920)/(2(-320)) = 1920/640 = 3
The maximum revenue, y, is the value of the function evaluated at x = 3.
f(x) = -320x^2 + 1920x + 48000
f(-3) = -320(3)^2 + 1920(3) + 48000
f(-3) = 50,880
The maximum revenue is $50,880
b)
Since maximum revenue occurs at x = 3, and since x represents the number of $4 discounts, the discount is 3 * $4 = $12. The price is $60 - $12 = $48
c)
$50,880/$48 = 1060
