What is the average rate of change for this quadratic function for the interval

Mathematics

1 answer:

stealth61 [152]2 years ago

6 0

<h3>Answer: -4 (choice B)</h3>

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Explanation:

The table says that when x = 1, the output is y = -2.

So the point (1, -2) is on the parabola.

The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.

Find the slope of the line through those two points. The slope here is the same as the average rate of change.

m = (y2 - y1)/(x2 - x1)

m = (-10 - (-2))/(3 - 1)

m = (-10 + 2)/(3 - 1)

m = -8/2

m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.

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2 years ago

Tell whether the given value is a solution of the inequality

kipiarov [429]

Answer:

Yes it is, because...

Step-by-step explanation:

This is an inequality, so you can treat it as an algebraic expression.

The first step is to multiple both sides by 2, to get rid of the 2 on the left side.
Your equation will now look like this:
y >= 2y - 22

The next step is to get all the y variables to one side, now that its a lot more simplified. Subtract 2y from both sides to get:
-y >= -22

Finally, cancel out the negative on both sides of the equation to get the y as a positive y, all by itself. This will get you:
y <= 22

REMINDER: when you divide by a negative number, such as in this case dividing by -1 on both sides, the inequality sign will flip!

y = 18 works because it is less than 22. (: