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).
Answer to written question:
3x + 10x + 7x = 180
Combine like terms
20x = 180
Divide by 20
x = 9
Smallest angle 3x = 3*9 = 27 degrees
Answer to question in picture:
30/6x-2 = 36/5x + 13
Cross multiply
30(5x + 13) = 36(6x-2)
Distribute
150x + 390 = 216x - 72
Subtract 150x
390 = 66x - 72
Add 72
462 = 66x
Divide by 66
x = 7
Answer:
$3.41
Step-by-step explanation:
262.94 + 83.65 = 346.59
350.00 - 346.59 = 3.41
D and e would be the answer
