Given f (x) = 17 minus x squared, what is the average rate of change in f(x) over the interval [1, 5]?

Answers

Answer 1

Answer:

The average rate of change of the function over the given interval is -6

Step-by-step explanation:

The function we want to find its average rate of change is;

F(x) = 17 - x^2

Mathematically, the average rate of change of a function F(x) over an interval (a,b) can be calculated as;

{F(b) - F(a)}/(b-a)

According to this question, a = 1 and b = 5

F(a) = F(1) = 17 -(1)^2 = 17 -1 = 16

F(b) = F(5) = 17 - 5^2 = 17-25 = -8

So making the substitution; we have

(-8)-16/(5-1) = -24/4 = -6

Answer 2

Answer:

A: -6

Step-by-step explanation:


Related Questions

Explain the difference between a two-variable equation graph and a two-variable inequality graph. Give an example of an equation

Answers

Answer:

What makes graphing linear inequalities in two variables different from graphing linear equations in two variables?

The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.

Step-by-step explanation:

What is the slope of the line on the graph?

Answers

Answer:

5,-1,-7

Step-by-step explanation:

Find the discriminant of 3^2-10x=-2

Answers

Answer:

3/11

Step-by-step explanation:

Answer:

Here, a=3, b=-10 and c=2. Substitute the values, Therefore, the discriminant of is 76. did you accept my friend invite? could you give me your office 365 so I cantext you bc I don't have a phone

Step-by-step explanation:

The line y=4mx-8 and y=-8+3x are parallel find the value of m??

Answers

Step-by-step explanation:

parallel the slope of 2 equations are the same value

4m = 3

m = 3/4

Sarah earns $12.70 per hour at the car wash. How much will she make if she works 3.5 hours?

Answers

Answer: 12.70x3.5= 44.5 every hour.. 44.5x3.5=155.75 dollars a hour.

Step-by-step explanation:

Answer:

$44.45 is what she would earn.

Step-by-step explanation:

Multiply the two numbers together. Batta bing batta boom.

What is the slope formula between (-5,2) and (1,-5)

Answers

Answer:

-1.16667

Step-by-step explanation:

The entered points belong to a decreasing, linear function.

Equation: y = -1.16667x - 3.83333.

Answer:
-1.16667

HOPED IT HELPED:) HAVE A NICE DAY

Y+z+x=107
Missing angles

Answers

Answer:

There is not enough of information

Step-by-step explanation:

Please elaborate ,I will then edit my answer

How do you divide 40 in the ratio 3:5 ?

Answers

Answer:

15:25

Step-by-step explanation:

16x2
16 to the 2nd power

Answers

If you are asking 16x2 then it's 32 .-.

16 to the 2nd power is 256

Answer:

32 and 16 to the second power is 256

Step-by-step explanation:

When you multiply a number to any power the power number is how many times you multiply the other number by itself for instance 16 to the second power is 16x16 if it were to the third then it would be 16x16x16



HELP ME PLEASE !!!!!!!!

Answers

Answer:

25 people

Step-by-step explanation:

5 percent of 500 is 25

|x + 2|> 2
How would you graph this solution

Answers

Answer:

Solving the inequality |x+2| > 2

X belongs to (- infinity, - 4) U ( 0, +infinity)

-6(y + 15) = -3y + 6, what is y?

Answers

Answer: 28

Step-by-step explanation:

-6 times y and 15= -6y +90

-6y + 90= -3y + 6 ( 90 -6=84)

-6y + 84= -3y ( -3y + 6 = 3y)

84=3y (84 divided by 3=28)

Y=28

83 tens times 2 tens

Answers

Answer:

16600 should be the answer.

Step-by-step explanation:

because 830 times 20 is 16600.

hope i helped

Joshua and his children went into a grocery store and will buy bananas and peaches.
Each banana costs $0.70 and each peach costs $2. Joshua has a total of $25 to spend
on bananas and peaches. Write an inequality that would represent the possible values
for the number of bananas purchased, b, and the number of peaches purchased, p.

Answers

Answer:

[tex]0.7b+2p \leq 25[/tex]

Step-by-step explanation:

So, we know that each banana costs $0.70 and each peach costs $2. So, the total when purchasing b bananas and p peaches can be written as the expression:

[tex]0.7b+2p[/tex]

Where b represents the amount of bananas purchases and p represents the amount of peaches purchases.

Joshua has at maximum $25 to spend. The total cannot exceed $25. In other words, the total of the above expression must be less than 25. So, our inequality will be:

[tex]0.7b+2p<25[/tex]

However, it is also possible for Joshua to spend exactly $25. So, we also need an equal sign. Therefore, our final inequality will be:

[tex]0.7b+2p \leq 25[/tex]

In words, this means that the total cost depending on the number of bananas and peaches Joshua buys must be less than or equal to 25.

And we're done!

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.

Draw and label the dimensions of a scale drawing of Elena's bedroom, using a scale of 1 to 50.

Elena's bedroom door is 0.8 m wide. How wide should the door be on the scale drawing? Explain how you know.

Elena's bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed?

Answers

Answer:

Step-by-step explanation:

I do not now

the first answer on what her bedroom length would be is 10 by 6 the rest i have no idea

someone help me with this equation ASAP its hard

Answers

Answer:

i think its A....................

Answer:

D

Step-by-step explanation:

Since its half a number then it would mean that it would be 1/2x. Not 5x bc you are just adding it to 1/2x

PLES ANSWER FAST! I THIS IS DUE IN 5 MINUTES

Answers

Answer:

The answer is 12ac^14/b^3

Answer

12ac^14/b^3

Step-by-step explanation:

1. how is 2,010,000 written in scientific notation

2. how is 6,012,000 written in scientific notation?

Answers

1. 2.01 x 10^6
2. 6.012 x 10^6
So 2010000 in scientific notation is 2.01 x 106

Which number is the additive inverse of –5?
– 1/5

0

1/5

5

Answers

The inverse of -5 would be positive 5

find the 12th term of the arithmetic sequence 2a - b, 3a - 2b, 4a - 3b​

Answers

Answer:

the 12th term of the arithmetic sequence would be 13a - 12b

Step-by-step explanation:

as you can see from the sequence, it goes up by 1. 2a - b became 3a -2b as an example.

Answer:

13a - 12b

Step-by-step explanation:

That is what the 12th ter m of the arithmetic sequence is

find the distance between the points (4,6) and (0,9)​

Answers

Answer: The answer to this question is 5. The picture will explain

Plz help.

An escalator lifts people to the second floor of a building, 22ft above the first floor. The escalator rises at 30° angle.To the nearest foot, how far does a person travel from the bottom to the top of the escalator?

Answers

Answer:

r=44

Step-by-step explanation:

y=22 feet

sin 30= y/r

r=y/sin30

r=22/sin30

r=44 feet

Please answer as soon as possible thank you

Answers

Answer: A= 30 fruits and 50 vegetables

B= 50 fruits and 70 vegetables

Step-by-step explanation:

In the diagram/photo, there are 5 fruit blocks and 7 vegetable blocks. So, when they are ___ fruit blocks there are 2 more vegetable blocks than fruit blocks.

This is what came to me when I saw this question, sorry if it’s wrong :((

Answer:

A: 0 B: 20

Step-by-step explanation:

If the zookeepers used 30 fruits on monkey A, they would only have 20 left to use on monkey B. Same for the veggies. If they used all 70 on monkey B, there wouldn't be any left to give to monkey A.

How many seconds are in 5 years?

Answers

there are 157680000 seconds in 5 years!

What is the difference between rational and irrational numbers?
put ur answer in simplest form.

Answers

Answer:

so irrational numbers cannot be written in a fractional form and rational numbers are finite.. both numerator and denominator are whole numbers

how do you find a slope from a table??

Answers

Answer:

Pick any point that has x and y together.

For example,   3               4

                         2                7

                         1                 6

Here the two points which you will be picking is either 3 and 4, or 2 and 7 or 1 and 6.

Once you pick, use the formula: rise/run (which means y/x)

Using the same example above, let's just say that you picked 1 and 6. (remember the first column always represents x values whereas the second column always represent y values). You get the slope by 6/1 = 6.  

Hope that helped!!

Mark brainliest!!

64 is 6623% of what number?

Answers

Answer:

6623% = 66.23

Now, we just multiply that decimal by 39 to get the final answer.

66.23 * 39 = 2582.97

6623% of 39 is 2582.97.

Hope that helped =)

Step-by-step explanation:

3 10 in . = 7 8 mi . what is the unit rate

Answers

Answer: (3/10) in = (7/8) mi

1 in = (7/8) mi ÷ (3/10)

      = 7/8 * (10/3) = 70/24

1 in = (70/24) mi

It means every 1 inch on the map drawing represents (70/24) miles ≈ 2.917 miles in reality.  

Hope this helps :)

Please mark me as Brainliest

2. Find the equation of a line parallel to y=6x-4 and through point (-2,14)​

Answers

Answer: y=6x+26

Step-by-step explanation:

To find the equation of a line parallel to the given equation, the slope must stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST be the same. All we have to do is plug the given point into the equation to find the y-intercept.

14=6(-2)+b          [multiply]

14=-12+b             [add both sides by 12]

b=26

Now, we know that the equation of y=6x+26.

helppppppppp meeeeeee plsssssssss

Answers

1. 2.7

i don’t really know the second one, but at least there’s the first! i’m sorry

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