Answer:
Students purchased 1296 tickets and teachers purchased 482 tickets.
Step-by-step explanation:
We are given the following in the question:
Let x be the number of tickets purchased by students and y be the number of tickets purchased by teachers.
Total tickets purchased = 1778
Thus, we can write the equation:
There are 150 students less than three times the number of teacher's tickets.
Thus, we can write the equation:
Solving the two equations, we get,
Thus, students purchased 1296 tickets and teachers purchased 482 tickets.
Answer:
C: F(x)=x^2-0.5
Step-by-step explanation:
When the x is squared it's a parabola. A linear graph is shaped like a straight line, while a parabola is curved inward. I have included a graph of what that function would look like (tap/click on it to see the full graph.)
Answer:
B) Vertex = (-5, 2)
Step-by-step explanation:
Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. It can also be described as the point where a line changes its direction
We can find vertex by two methods:
<h3>1) GRAPH</h3>We can see in the graph attached below that the line changes its direction at point (-5, 2). So the vertex is (-5,2)
<h3>2) FORMULA</h3>General form of equation of mod function is given by
y = a |x - h| + k
where Vertex = (h, k)
The given equation is
h(x) = 3 |x + 5| + 2
h(x) = 3 |x - (-5)| + 2
where h = -5 and k = 2
So the vertex is:
Vertex = (-5, 2)
