Let:
x = cost of senior citizen ticket
y = cost of student ticket
4x + 5y = 102
7x + 5y = 126
4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4
7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4
note:
-35y/4 = -8.75y
714/4 = 178.5
-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14
x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8
x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea
Answer:
The third equation: 
Step-by-step explanation:
The two points on the line are
and
.
Slope of the line passing through two points
and
is given as:

Here,
and
are
and
.
Therefore, slope is equal to, 
Now, equation of a straight line with slope m and points
and
is given as:

Now, if we use the 2nd form, then
.
So, the equation is given as :
9514 1404 393
Answer:
Step-by-step explanation:
It can be helpful to actually see the graph. For 0 ≤ θ ≤ π, a circle is developed above the x-axis, symmetrical about the y-axis (θ=π/2). For π ≤ θ ≤ 2π, the same circle is traced again in the same direction (CCW), as values of r are negative for those angles.
The circle has a radius of 2.5, centered at (0, 2.5), so the diameter is 5 units. The length of the diameter is the farthest distance between any two points on a circle.
-3<11
Step-by-step explanation:
-3x+2<11
-3x<11-2
-3x<9
x>-3
Vertex: (-2,1)
Maximum or Minimum: The graph has minimum point and gives minimum value because the minimum point gives the least y-value. That's why it is called minimum.
End of behavior:
When x approaches positive infinity, f(x) will approach positive infinity.
When x approaches negative infinity, f(x) will approach positive infinity as well.
Why no solution:
The graph doesn't intercept any x-axis. Therefore the graph doesn't have any solutions.
y-intercept: (0,5)
describe shape of the graph:
The graph decreases when x<0 and increases when x>0.
x<0 is concave up but decreasing
x>0 is concave up but increasing