Jennifer has 4/5 as many oictures on her camera as luisa does. Jennifer has 28 pictures on her camera. How many pictures do Jenn
1 answer:
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Answer:
a. No solution, parallel lines.
b. One solution.
Step-by-step explanation:
Given the system of equations:
a.
b.
To give a geometric description of the given system of equations.
The geometric description of a system of equations in 2 variables mean the system of equations will represent the number of lines equal to the number of equations in the system given.
i.e.
Number of planes = Number of variables
Number of lines = Number of equations in the system.
Here, we are given 2 variables and 2 equation in each system.
So, they can be represented in the xy-coordinates plane.
And the number of solutions to the system depends on the following condition.
Let the system of equations be:
1. One solution:
There will be one solution to the system of equations, If we have:
2. Infinitely Many Solutions: (Identical lines in the system)
3. No Solution:(Parallel lines)
Now, let us discuss the system of equations one by one:
a. OR
OR
Here, the ratio:
Therefore, no solution i.e. parallel lines.
b. OR
OR
So, one solution.
Kindly refer to the images attached for the graphical representation of the given system of equations.
Answer:
a) The demand function is
b) The nightly revenue is
c) The profit function is
d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.
Step-by-step explanation:
a) Lets find the slope s of the demand:
Since the demand takes the value 79 in 7, then
b) The nightly revenue can be found by multiplying q by p
c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)
d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P
Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.