Answer:
the domain is based on the vertical line and range is based on horizontal line.
Step-by-step explanation:
√(-5x+1) +2
Answer:
C
Step-by-step explanation:
n > - 2
This means a number line which shows values greater Than - 2 ;
We start from, - 2 and the point isn't shaded, (since it is not ≥). And we move to the right of the number line as values increase to the right of a number line.
So values greater than - 2 should be covered such as, - 1, 0, 1, 2, 3,...
Step-by-step explanation:
eieueskhdbdjsikskskskjswhwjw
Answer:
For more than 35 miles company A will charge less than company B
Step-by-step explanation:
Let us write the equation of the cost of each company
Company A:
∵ Company A charges $96 for unlimited mileage
∴ The cost of company A = 96
Company B:
∵ Company B charges an initial fee of $75
∵ It charges $0.6 for every mile driven
∵ The number of miles is m
- Multiply m by 0.6 and add 75 to the product
∴ The cost of company B = 75 + 0.6 m
∵ Company A will charge less than company b
∴ 96 < 75 + 0.6 m
- Subtract 75 from both sides
∴ 21 < 0.6 m
- Divide both sides by 0.6
∴ 35 < m
- That means m is greater than 35
∴ m > 35
For more than 35 miles company A will charge less than company B
Answer: radius r = 2 inches
height h = 6 inches
Step-by-step explanation:
Given;
Volume V = 24πin3
Volume of a cylinder is given by
V = πr^2h
h = V/πr^2. ....1
Where, h = height and r = radius of cylinder
For the surface area of the cylinder with open top. we have,
S = 2πrh + πr^2
For the cost of materials used, let k represent the cost of materials used for the body of the cylinder.
Then, for the bottom will be 3k
Total cost will be represented by C, which gives
C = 2πrhk + 3πr^2k. .....2
Substituting eqn 1 to 2, we have;
C = 2πrVk/πr^2 + 3πr^2k
C = 2Vk/r + 3πr^2k
The material cost is minimum at dC/dr = 0
dC/dr = -2Vk/r^2 + 6πrk =0
6πrk = 2Vk/r^2
r^3 = 2V/6π
r = (2×24π/6π)^-3
r = (8)^-3
r = 2
Substituting r = 2 into eqn1
h = 24π/π(2^2)
h = 24/4 = 6
h = 6
