Answer:
512 student tickets.
Step-by-step explanation:
Let x be number of student tickets and y be number of adult tickets.
We have been given that at Friday's football game 1,294 tickets were sold. We can represent this information as:

We are also told that each student ticket costs $5.00, and each adult ticket costs $8.00 and 1,294 tickets were sold for a total amount of $8,816. We can represent this information as:
From equation (1) we will get,
Substituting this value in equation (2) we will get,






Therefore, 512 student tickets were purchased at Fridays football game.
Answer:
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4
Step-by-step explanation:
Qaudratics are in the form 
Where a, b, c are constants
Now, let's arrange this equation in this form:

Where
a = 1
b = 4
c = -32
We need to know the discriminant to know nature of roots. The discriminant is:

If
- D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
- D > 0, we have 2 distinct roots/solutions and both cut the x-axis
- D < 0, we have imaginary roots and it never cuts the x-axis
Let's find value of Discriminant:

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.
We get the roots/solutions by factoring:

Thus,
The graph crosses the x-axis 2 times
The solutions are x = -8 & x = 4
Answer:
$104,167 approx.
Step-by-step explanation:
Step one:
Given data
Morgan made $12,500 on the sale of a home.
Her commission she earns in selling homes is 12%
Step two:
let the cost of the home be x
So 12% of x= 12,500
12/100*x= 12,500
0.12*x=12,500
0.12x=12,500
divide both sides by 0.12
x= 12,500/0.12
x=$104,166.66
x=$104,167
Answer:
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Step-by-step explanation:
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