Answer:
Step-by-step explanation:
GIVEN: A hotel charges a annual fee plus an additional for each night you stay there.
TO FIND: average cost per night if you stay at the hotel for nights.
SOLUTION:
Annual fee charged by hotel
amount charged each night we stay there
Total number of nights we stay
Total amount paid for nights
Total amount paid
average cost per night
putting values,
average cost per night
Hence average cost per night if we stay at hotel for days is
Answer (Note: the bold are answers):
First question answer:
Point = (3,1)
Slope = 3
y = 3x + b
(1) = 3(3) + b
1 = 9 + b
1 - 9 = b
-8 = b
y = 3x - 8
The second question answer:
y = mx + b
Get two points:
(3,-7) and (4,-11)
m = -11 - (-7) / 4 - 3
m = -11 + 7 / 1
m = -4 / 1
m = -4
b = + 3
y = -4x + 3
Answer:
Volume = 16 unit^3
Step-by-step explanation:
Given:
- Solid lies between planes x = 0 and x = 4.
- The diagonals rum from curves y = sqrt(x) to y = -sqrt(x)
Find:
Determine the Volume bounded.
Solution:
- First we will find the projected area of the solid on the x = 0 plane.
A(x) = 0.5*(diagonal)^2
- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,
A(x) = 0.5*(sqrt(x) + sqrt(x) )^2
A(x) = 0.5*(4x) = 2x
- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:
V = integral(A(x)).dx
V = integral(2*x).dx
V = x^2
- Evaluate limits 0 < x < 4:
V= 16 - 0 = 16 unit^3
Answer:
I am
Step-by-step explanation:
1500
Answer:
x =
Step-by-step explanation:
Given
kx - c = 9 ( add c to both sides )
kx = 9 + c ( isolate x by dividing both sides by k )
x =