Answer:
p = -40
Step-by-step explanation:
<u>Step 1: Distribute
</u>
8(61 + p) = 168
(8 * 61) + (8 * p) = 168
488 + 8p = 168
<u>Step 2: Subtract 488 from both sides
</u>
488 + 8p - 488 = 168 - 488
8p = -320
<u>Step 3: Divide both sides by 8
</u>
8p / 8 = -320 / 8
<em>p = -40
</em>
Answer: p = -40
Answer:
Step-by-step explanation:
y = x^2 - x - 2 is a quadratic function. It's easily factorable: y = (x + 1)(x - 2). Setting this result equal to zero yields the x-intercepts: -1 and 2. This matches the x-intercepts shown on the graph.
The axis of symmetry, x = -b/(2a), derived from the coefficients 1, -1 and -2 of this particular function, is x = 1/2. This x = 1/2 is also the x-coordinate of the vertex. To find the y-coordinate of the vertex, we evaluate y = x^2 - x - 2 at x = 1/2, obtaining:
y = (1/2)^2 - (1/2) - 2, or y = 1/4 - 1/2 - 2, or -2 1/4. This does not quite agree with the y value (-2) shown in the diagram, but is close.
