F(x)=x2+2x+3 What is the average rate of change of f(x) over the interval [-4,6]

Answers

Answer 1
Answer: Average Rate ofChange = (F(6)-F(-4))/((6-(-4)) 
F(6) = 6^2+2(6)+3 = 36+12+3=51
F(-4) = (-4)^2+2(-4)+3 = 16-8+3=11
Average Rate of Change = (51-11)/(6-(-4) = 40/10 = 4 
Answer 2
Answer:

Answer:

4

Step-by-step explanation:


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What is the average of the integers of 25 to 41

Answers

a_v=(25+26+27+....+41)/(17)=(561)/(17)=33

Describe how to decide if 94 is a prime number or composite number

Answers

94 is a composite number.

If 94 were a prime number, 94 would only have 2 factors, which are 1 and itself. Since 94 has another factor other than 1 and itself (which is 2), 94 is a composite number.

Hope this helps~
to decide if 94 is a prime number or composite numberyou must find the prime factorization

Han rolls a standard number cube once.

Whats the sample space?

Answers

Answer: {1, 2 , 3, 4, 5,6}

Step-by-step explanation:

A sample space is the set containing all possible outcomes for an event.

Given : Han rolls a standard number cube once.

The possible outcomes for rolling a standard number cube = 1, 2 , 3, 4, 5 ,6

So, the sample space would be = {1, 2 , 3, 4, 5,6}

Hence, the required sample space for Han = {1, 2 , 3, 4, 5,6}

15. (a) Work out the value of 25-3

Answers

25 - 3 = 22

This is because subtraction is the operation of finding the difference between two numbers. To subtract 3 from 25, we start from 25 and count backwards 3 units.

Using the square root property: How would I solve this equation- (2x-3) Squared =18

Answers

(2x-3)^2=18\ \ \ \ | make\ \sqrt{}\n\n|2x-3|=√(18)\n\n2x-3=√(18)\ \ \ or\ \ \ -2x+3=√(18)\n\n2x=√(18)+3\ \ \ \ or\ \ \ \ -2x=√(18)-3\n\nx=(√(9*2)+3)/(2)\ \ \ or\ \ \ \ x=(√(9*2)-3)/(-2)\n\nx=(3√(2)+3)/(2)\ \ \ or\ \ \ \ x=(-3√(2)+3)/(2)
(2x-3)^2=18\n2x-3=√(18) \vee 2x-3=-√(18)\n2x=3+3√(2) \vee 2x=3-3√(2)\nx=(3+3√(2))/(2) \vee x=(3-3√(2))/(2)\n

Solve for y

4y
— - 7 = -3
5

Answers

4y/5 - 7 = -35

Add 7 to both sides:

4y/5 = -28

Multiply 5 to both sides:

4y = -140

Divivde 4 to both sides:

y = -35