Answer:
See below
Step-by-step explanation:
Remember that quadratic functions are parabolas when graphed. The solutions are where the parabola crosses the x-axis.
1. The vertex of the parabola in f(x) is (0, 9) which is above the x-axis and the parabola opens up. So the parabola does not cross the x-axis. Therefore the solutions are imaginary.
2. The vertex of the parabola in g(x) is (9, 0) which is on the x-axis and parabola opens up. Therefore, there is a double solution.
3. The vertex of the parabola in h(x) is (-1, -9) which is below the x-axis and the parabola opens up. Therefore, there are two real solutions.
I know this is a long explanation, but that is a way of looking at the problem.
Answer: 1,501
Step-by-step explanation:
100% = 1,580
100% - 5% lost
95%
1580 x .95 = 1501
Step-by-step explanation:
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Answer:
Step-by-step explanation:
<span>The first part of the quadratic formula, x = - b/2a, is the equation of the axis of symmetry, and the x-coordinate of the vertex. </span>
<span>In standard form: - 2x² + 8x - 5 = 0, a = - 2, b = 8, c = - 5 </span>
<span>The axis of symmetry: x = - 8/2(- 2) = - 8/- 4 = 2 </span>
<span>Go back and solve for y to find the y-coordinate of the vertex. </span>
<span>y = - 2(2)² + 8(2) - 5 </span>
<span>y = - 2(4) + 16 - 5 </span>
<span>y = - 8 + 16 - 5 </span>
<span>y = 3 </span>
<span>Vertex is (2, 3)</span>
