It would b 9 x (-3^(x-1))
Answer:
Step-by-step explanation:
Let
Side of square base=x
Height of rectangular box=y
Area of square base=Area of top=
Area of one side face=
Cost of bottom=$9 per square ft
Cost of top=$5 square ft
Cost of sides=$4 per square ft
Total cost=$204
Volume of rectangular box=
Total cost=
Substitute the values of y
Differentiate w.r.t x
It takes positive because side length cannot be negative.
Again differentiate w.r. t x
Substitute the value
Hence, the volume of box is maximum at x=2.2 ft
Substitute the value of x
Greatest volume of box=
Answer:
The function f has an inverse because it is one-to-one.
Step-by-step explanation:
The condition for a function to have an inverse is that every x coordinate maps to a single y - coordinate. As illustrated by the diagram attached in the second picture, every x value maps to one y value therefore satisfying the condition making the function have an inverse.
So, if it grows by 6.75%, each year the population is 106.75% of the year before.
After 1 year, 370,000(1.0675). After two years, 370,000(1.0675)(1.0675).
370,000(1.0675)12 = your answer
Slope formula is
m = (y2 - y1)/(x2 - x1)
A. m = (5 - 0)/(-2 + 2)
m = (5)/(0)
m = error
B. m = (-2 - 0)/(0 + 2)
m = (-2)/(2)
m = -1
C. m = (2 - 0)/(2 - 0)
m = (2)/(2)
m = 1
D. m = (0 - 0)/(2 - 3)
m = (0)/(-1)
m = 0
the undefined slope would be the one that came out as error, so A
