1.05 is the answer to this question.
Answer:
x = 8,49 ft
y = 4,24 ft
Step-by-step explanation:
Let x be the longer side of rectangle and y the shorter
Area of rectangle = 36 ft² 36 = x* y ⇒ y =36/x
Perimeter of rectangle:
P = 2x + 2y for convinience we will write it as P = ( 2x + y ) + y
C(x,y) = 1 * ( 2x + y ) + 3* y
The cost equation as function of x is:
C(x) = 2x + 36/x + 108/x
C(x) = 2x + 144/x
Taking derivatives on both sides of the equation
C´(x) = 2 - 144/x²
C´(x) = 0 2 - 144/x² = 0 ⇒ 2x² -144 = 0 ⇒ x² = 72
x = 8,49 ft y = 36/8.49 y = 4,24 ft
How can we be sure that value will give us a minimun
We get second derivative
C´(x) = 2 - 144/x² ⇒C´´(x) = 2x (144)/ x⁴
so C´´(x) > 0
condition for a minimum
Step-by-step explanation:
rocket : 26 mpg
Glimmer : 484/18 = 26.89 mpg
cambria : 392/16 = 24.5 mpg
Avenger : 60/2 = 30 mpg
a. Avenger, has the highest mileage
b. cambria, has the lowest mileage
c. Avenger,Glimmer, rocket, cambria
The correct answer to this question is B
Note that -5 = x, plug in -5 for x
g(x) = x + 3
g(-5) = (-5) + 3
Simplify
g(-5) = -5 + 3
g(-5) = -2
g(-5) = -2 is your answer
~
