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=-
Answer: Last option.
Step-by-step explanation:
Given the equation:
Follow these steps to solve it:
- Subtract the fractions on the left side of the equation:
- Using the Difference of squares formula () we can simplify the denominator of the right side of the equation:
- Multiply both sides of the equation by and simplify:
- Multiply both sides by :
- Apply Distributive property and simplify:
- Divide both sides of the equation by -6:
- Factor the equation and solve for "m":
In order to verify it, you must substitute into the equation and solve it:
<em>NO SOLUTION</em>
Answer:
probability of landing on a number greater than 2 on the spinner.
Step-by-step explanation:
A theoretical probability is given by the number of desired outcomes divided by the number of total outcomes.
In this question:
8 possible outcomes(all numbers from 1 to 8).
6 desired outcomes(3, 4, 5, 6, 7 and 8, that is, all the numbers greater than 2). So
probability of landing on a number greater than 2 on the spinner.