Step 1
Revenue (sometimes referred to as sales revenue) is the amount of gross income produced through sales of products or services. This, in the context of the question, means that the revenue generated from the sales of tickets is given by the function below. We are now required to find the price that tickets will be sold at in a day based on the function that will make the revenue to be equal to $0.
The revenue is given by the function;

To solve this problem or to find this price at which tickets will be solved to give us zero revenue, we must equate the given function for the revenue to 0 and find the value of p, the price of the tickets that make the function to be equal to 0.
For the theatre to make $0 in revenue, this means f(p)=0.
Therefore, we will equate f(p) to 0
Step 2
Equate f(p) to 0

Therefore the revenue to be zero, the price of the ticket will be $0 or $30 but the question asked us how high the ticket price will be to get a revenue of 0. Both 0 and 30 gave us revenue of 0 but $30 is higher therefore, the answer will be $30.
Check;

Both give us 0 revenue but $30 is higher and the right answer.
Step 3
The equation you can write for revenue of $700 is;
Answer:
The cost of each drink is $1.5
Step-by-step explanation:
Let us represent
The cost of snacks = x
The cost of drinks = y
50 snacks and 180 drinks will sell for $320
Hence:
50x + 180y = 320....... Equation 1
75 snacks and 100 drinks will sell for $225.
Hence:
75x + 100y = 225....... Equation 2
Combining both Equations together
50x + 180y = 320....... Equation 1
75x + 100y = 225....... Equation 2
Multiply Equation 1 by 75 and Equation 2 by 50 to eliminate x
3750x + 13500y = 24000..... Equation 3
3750x + 5000y = 11250....... Equation 4
Subtract Equation 4 from Equation 3
8500y = 12750
y = 12750/8500
y = $1.5
Therefore, the cost of each drink is $1.5
Answer:
66+24
Step-by-step explanation:
you just have to add them
The <em><u>correct answer</u></em> is:
Rotation of 90° counterclockwise about the origin and a translation 2 units right
Explanation:
A rotation 90° counterclockwise maps each point (x, y) to (-y, x). This means our points would be:
A(-4,3)→(-3, 4); B(-1,3)→(-3, -1); C(-2,1)→(-1, -2)
A translation 2 units right will add 2 units to the new x-coordinates; this gives us
(-3, 4)→(-1, 4); (-3, -1)→(-1, -1); and (-1, -2)→(1, -2)
These are the points in the image, so this is the correct set of transformations.
Answer:
13 ≥ x
Step-by-step explanation:
<u>Larry has at least 3 more than Pat</u>
<u>Simplified</u>