Answer:
13 1/2
Step-by-step explanation:
X-4 1/6 = 9 1/3
Add 4 1/6 to each side
X-4 1/6+ 4 1/6 = 9 1/3 + 4 1/6
x = 9 1/3 + 4 1/6
= 9 2/6 + 4 1/6
13 3/6
13 1/2
The number of $0.50 increases to maximize the profit is X = 1.
First of all, we need to write the linear function which represents the price of the ticket for each increase of $0.50:
P - Price of each ticket.
x - number of increases.
We know that the current price is $5.00, so:

After that, let's build a linear function which shows the number of tickets sold <u>for each</u> price increase:
T - number of tickets.
x - number of increases.

With all this done, we can finally build the quadratic function which represents the money earned:
M - money earned

Now, to finish, we only have to <u>calculate the value of X</u>(number of increases) which can give us the maximum value of this function:
the X coordinate for the maximum value of a quadratic is expressed by:

In our equation, b = 100 and a = - 50 :

Thus, the number of increases which <u>maximizes</u> the profit is 1.
Learn more about linear and quadratic functions in: brainly.com/question/4119784
Step-by-step explanation:
Since (-3) < 3(1) + 1 is true, option C is correct.
W is 5 because-25 divided by 5 is -5
Answer:
See the attached figure 2.
Step-by-step explanation:
The question is as shown at the attached figure 1.
given: The garden is a right triangle with base 10 m and height 15 m.
We need to draw the garden such that 1 unit on the grid represents 2 m.
So the scale factor is 1 unit = 2 m
base = 10 m = 10/2 = 5 units
height = 15 m = 15/2 = 7.5 units
So, the garden on the grid will be a right triangle with base 5 units and height 7.5 units.
See the attached figure.