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irinina [24]
3 years ago
14

Calculate the average rate of change of the quadratic function y = -x2 + 4x +2

Mathematics
1 answer:
algol133 years ago
6 0

Answer:

2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 0, 2 ], thus

f(b) = f(2) = -(2)² + 4)(2) + 2 = - 4 + 8 + 2 = 6

f(a) = f(0) = 2

average rate of change = \frac{6-2}{2-0} = \frac{4}{2} = 2

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Step-by-step explanation:

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3 years ago
What is a counterexample for the statement the difference between two integers is always positive
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We have to give counter example for the given statement:

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2 years ago
Jack is 13 years younger than his older brother, Tyler. Their Dad is twice Tyler's age. The sum of their ages now is 91. Find Ja
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Answer:

13 years old

Step-by-step explanation:

So to solve this we use a system of equations. Let's use "j" to represent Jack, "t" to represent Tyler, and "d" to represent the dad. Set the system up and it will look something like this:

j = t - 13 (Jack is 13 years younger than Tyler)

d = 2t (Dad is twice Tyler's age)

d + j + t = 91 (The sum of the ages is 91)

And then solve, I solved by isolating the "j" variable on the last equation, giving us j = 91 - t - d, then plugged that into the first equation, giving us 91 - t - d = t - 13, and got d = 104 - 2t. Then I plug that into d = 2t, giving us 104 - 2t = 2t, and solve for t. T is 26, meaning Tyler is 26 years old, and then I just subtract 13 from that, giving us 13 years old.

And finally, I obviously checked my answer, because now we know dad is 52, and I got 91.

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2 years ago
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Step-by-step explanation:

Since your question is incomplete, I have given you two different options based on your incomplete question.

Hope you understand this.

HAVE A GOOD DAY!

4 0
3 years ago
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