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Gwar [14]
2 years ago
14

Please help me answer this question in khan academy

Mathematics
1 answer:
andrezito [222]2 years ago
5 0

The interval that function f(x)=x³-9x has a positive average rate of change is [ -4, -1 ].

Option D) is the correct answer.

<h3>Over which interval does f have a positive rate of change?</h3>

To determine whether the average rate of change is positive, f(max) - f(min) must be greater than zero.

Given the function; f(x) = x³ - 9x

We determine f(max) - f(min)

At interval [ -2, 1 ]

(x³ - 9x) - ( x³ - 9x )

( (1)³ - 9(1) ) - ((-2)³ - 9(-2))= -8 - 10 = -18 NOT POSITIVE

At interval [ -2, 3 ]

(x³ - 9x) - ( x³ - 9x )

( (3)³ - 9(3) ) - ((-3)³ - 9(-3))= 0 - 0 = 0 NOT POSITIVE

At interval [ -1, 2 ]

(x³ - 9x) - ( x³ - 9x )

( (2)³ - 9(2) ) - ((-1)³ - 9(-1))= -10 - 8 = -18 NOT POSITIVE

At interval [ -4, -1 ]

(x³ - 9x) - ( x³ - 9x )

( (-1)³ - 9(-1) ) - ((-4)³ - 9(-4))= 8 - (-28) = 36 POSITIVE

Therefore, the interval that function f(x)=x³-9x has a positive average rate of change is [ -4, -1 ].

Option D) is the correct answer.

Learn more about average rate of change: brainly.com/question/23715190

#SPJ1

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3 years ago
{1,2,3,...75,76,77,78}
Vinvika [58]

Answer:

32

Step-by-step explanation:

even numbers are 2,4,6,...,78

it is an A.P.

first term a=2

c.d. d=4-2=2

an=a+(n-1)d

78=2+(n-1)2

76=(n-1)2

n-1=76/2=38

n=38+1=39

now we take multiples of 10

10,20,30,...,70

70=10+(n-1)10

60=(n-1)10

n-1=60/10=6

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3 years ago
Write a negative or a positive integer to describe the following situation:
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positive 350m because it's above sea level.

8 0
3 years ago
Read 2 more answers
Please can someone help me??
jonny [76]

Your answer is 3450.


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7 0
3 years ago
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