Answer:
(5,10)
(3,6)
Step-by-step explanation:
The equation y=2x means that 2 multiplied by the first value would equal the second value, so this means that the second value is twice as much as the first value. This is not true for the first option because 8 is not twice of 16, and this is the same for (4,6), (4,2), and (1,3). Therefore (5,10) and (3,6) work.
Answer:
41. f⁻¹(x) = -9x + 4
43. m⁻¹(x) = ∛(x-2)/4
Step-by-step explanation:
41. y = (4-x)/9
swap x and y: x = (4-y)/9
solve y: 9x = 4-y
y = -9x + 4
45. y = 4x³+2
x = 4y³+2
4y³ = x-2
y³ = (x-2)/4
y = ∛(x-2)/4
Let you do 42 and 46 by yourself
Answer:
Perimeter = 317 m
Step-by-step explanation:
Given track is a composite figure having two semicircles and one rectangle.
Perimeter of the given track = Circumference of two semicircles + 2(length of the rectangle)
Circumference of one semicircle = πr [where 'r' = radius of the semicircle]
= 25π
= 25 × 3.14
= 78.5 m
Length of the rectangle = 80 m
Perimeter of the track = 2(78.5) + 2(80)
= 157 + 160
= 317 m
Therefore, perimeter of the track = 317 m
Given:
The revenue function is
The cost function is
To find:
The profit function.
Solution:
We know that, the total profit P is defined as total revenue R minus total cost C.
So, the profit function is
Therefore, the profit function is .
