Y = ax + b;
0.89 = a * 2 + b and 2.09 = a * 5 + b =>
=> 2.09 - 0.89 = a * 5 + a * 2 + b - b => 1.20 = 3 * a => a = 1.20 / 3 => a = 0.40;
b = 0.89 - 0.40 * 2 => b = 0.89 - 0.80 => b = 0.09;
y = 0.40x + 0.09 => 0.40x - y + 0.09 = 0 is the linear equation.
Answer:
Step-by-step explanation:
z = 119 Vertically opposite angles are equal.
5x + 41 + 119 = 180 5x + 41 and 119 are supplementary.
4x + 160 = 180 Subtract 160 from both sides
4x = 180 - 160
4x = 20 Divide by 4
x = 20/4
x = 5
Answer:
8 times larger
Step-by-step explanation:
(15+10) is the singular equation alone. Muiltiply it by 8, and it's 8 times larger then the initial singular expression. Therefore, the answer is 8 times larger.
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
it is relevant to 37.5 percent
