Answer:
(x-10)° + (x + 14)° = 180°
=> x° - 10° + x° + 14 ° = 180°
=> 2x° + 4° = 180°
=> 2x° = 176°
=> x° = 176°/ 2
=> x° = 88°
Therefore the magnitude of x° = 88° (ans)
We know that this is a parabola, as the equation is denoted by the x^2 term.
We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.
The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).
We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.
To sum it up, the answers are:
-2x^2 + 2x - 1.
AoS: x = -0.5
Vertex: (-0.5, -0.5).
-1.9 = x/.5 given equation
multiply both sides by .5
.5(-1.9) = x/(.5) *(.5)
-.95 = x
check: -1.9 = -.95/ .5
To answer this, you will write and equation in terms of the number of adult tickets sold and then solve for a, the number of adult tickets.
$5a + $3.50s = $2517.50
$5a + $3.50(a + 100) = $2517.50
5a + 3.50a + 350 = 2517.50
8.50a -350 -350
<u>8.5a</u> = <u>2167.50</u>
8.5 8.5
a = 255
The number of adult tickets sold was 255, and the number of student tickets sold was 355 (255 +100).