Answer:
The percent markup is 91%.
Step-by-step explanation:
1. find the amount of profit per large bucket of popcorn
9 - 0.8 = $8.2
2. divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn
8.2 / 9 = <u>91%</u>
Answer:
Step-by-step explanation:
Area = 192 m²
Perimeter= 56 m
Width = x m
Perimeter = 56
2*(length + width) = 56
Divide the equation by 2
l + x = 56/2
l + x = 28
l = 28 - x
Area = 192 m²
l * w = 192
(28 - x)*x = 192
28x - x*x = 192
0 = 192 - 28x + x²
x² - 28x + 192 = 0
2) Equation is a quadratic equation. The roots of this equation will the dimensions of the rectangular plot.
3) The roots represent the width and length of the rectangle.
x² - 28x +192 = 0
Sum = -28
Product =192
Factors = -16 , -12 {-16 +(-12) = -28 & (-12)*(-16) = 192}
x² - 28x + 192 = 0
x² - 12x - 16x + (-16)*(-12) = 0
x(x -12) - 16(x - 12) = 0
(x - 12)(x -16) =0
x -12 = 0 ; x - 16 = 0
x = 12 ; x = 16
x = 12 ,16
4) Sum of the roots = 12 + 16 = 28
Sum of the roots = half of the perimeter
5) Product of the roots = 12*16 = 192 = area of the rectangle.
Answer:
f(x)= 4x+9
F(x)=1/x
Step-by-step explanation:
An odd function accomplish the following condition:
f(-x) = -f(x) (1)
By checking (1) on each of the next functions, we have:
f(-x) = (-x)^3 - (-x)^2 
-f(x) = - (x^3- x^2)
f(-x) = (-x)^5 -3(-x)^3 + 2(-x) -f(x) = -x^5 +3x^3 +2x
f(-x)= -4x +9 = -f(x)
F(-x) = -1/x =-F(x)
Unknown side = square root (100 - 49)
unknown side = square root (51)
unknown side = 7.14
