Answer:
The only number prime is 43
Step-by-step explanation:
Given :
Raffle tickets were sold for a school fundraiser to parents, teachers, and students. 563 tickets were sold to teachers. 888 more tickets were sold to students than to teachers. 904 tickets were sold to parents.
To Find :
How many tickets were sold to students.
Solution :
Ticket sold to teachers, T = 563 .
Ticket sold to parents, P = 904 .
Let, ticket sold to students are S.
Now, it is given that :
S = T + 904
S = 563 + 904
S = 1467 students
Therefore, tickets sold to students are 1467 .
Hence, this is the required solution.
Answer:
A) B is greater
B) when C = 21, A = 5 and B = 15
C) A must be 0, 5, or 12 for C to be greater than B
Step-by-step explanation:
A) when a = -3, c = -20 and b = 4(-3)-5 so B = -17
B) when c = 21, a = 5 and b = 4(5)-5 so B = 15
C) C is greater than B when a = 0, 5, and 12
when a = 0, b = 4(0)-5 or -5
when a = 5, b = 4(5)-5 or 15
when a = 12, b = 4(12)-5 or 43
The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=-
For any circle with Cartesian equation
,
we have that the centre of the circle is
, and the radius of the circle is
.
So in the case that
,
we essentially have that
.
So the centre of the circle is
, and the radius is
.