Given ix) = 17 - x2, what is the average rate of change in f(x) over the interval [1, 5]?


Answers

Answer 1
Answer:   -6

======================================================

Explanation:

Plug in x = 1

f(x) = 17-x^2

f(1) = 17-1^2

f(1) = 17-1

f(1) = 16

Repeat for x = 5 to find that f(5) = -8

Now we'll use the formula below to find the average rate of change from x = a to x = b.

[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(5)-f(1)}{5-1}\\\\m = \frac{-8-16}{4}\\\\m = \frac{-24}{4}\\\\m = -6\\\\[/tex]

The average rate of change is -6

The formula is basically the slope formula, more or less. So that's why I used 'm' to represent the average rate of change.

The average rate of change on the interval [1,5] is the same as finding the slope through the lines (1, 16) and (5, -8)

Given Ix) = 17 - X2, What Is The Average Rate Of Change In F(x) Over The Interval [1, 5]?

Related Questions

Can predictions be made of a scatterplot that shows no association? Explain your answer.

Answers

Answer:

There is no relationship between the variables.

There is no pattern between the variables.

No reliable predictions are possible.

Step-by-step explanation:

this is the exact answer on edge 2021

Answer:

No, because no association means there is no relationship between the variables. So there is no pattern that results in reliable predictions.

Step-by-step explanation:

its the sample response

pleaseeeee helppp meee!!!

Answers

Answer: 32x-48 should be your answer

Step-by-step explanation:

Answer:

32x - 48

Step-by-step explanation:

-4(-8x + 12)

= -4 × (-8x) + (-4) × 12

= 32x + (-48)

= 32x - 48 (Ans)

a right triangle has legs of lengths 6 and 3, what is the length of the hypotenuse to the nearest tenth

Answers

Answer:

x = 6.7

Step-by-step explanation:

legs of a right triangle are 6,3 and hypotenuse be x

using pythagors theorem to find hypotenuse

a^2 + b^2 = c^2

6^2 + 3^3 = x^2

36 + 9 = x^2

45 = x^2

[tex]\sqrt{45} = x[/tex]

[tex]\sqrt{3*3*5} = x[/tex]

[tex]3\sqrt{5} = x[/tex]

6.70 =x

6.7 =x

On Saturday, the fruit and juice bar was selling 20 glasses of fruit punch an hour. By 7 p.m., they had sold 180 glasses. If their goal was to sell more than 240 glasses of fruit punch, find the number of hours, h, they must stay open past 7 p.m. to make their goal.

Answers

Answer: A)  h > 3

======================================================

Explanation:

h = number of hours past 7 pm

20h = the number of glasses sold after h hours

20h+180 = adding on the 180 glasses already sold

20h+180 > 240 is the inequality to set up

Let's solve for h

------------------

20h+180 > 240

20h > 240-180

20h > 60

h > 60/20

h > 3

They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.

The earliest that they can close is 11 pm (since 4+7 = 11).

--------------------

If h = 3, then

20h+180 = 20*3 + 180 = 240

meaning that they haven't reached their goal of getting over 240

So they have to stay open that extra hour to get past 240.

PLZ HELP DUE TODAY MARK BRAINLLEST AND GIVE 25 POINTS

Answers

Answer:

592 divided by 16=37

Answer:

592 divided by 16 is 37

3 boxes on top:

5 tens + 92 = 592

Step-by-step explanation:

:)

Which measure of center best represents the data?

8,8,7,8,8,8,1,8,8

Answers

Answer:

8

Step-by-step explanation:

The median is 8 since 8 is the most common number

The answer is 8 because it’s the most used one there ‍

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Answers

It is c cause it’s c c c c c c c c c

Answer:

Im not positive but its either c or d

what is 0.00051 convert in standard form​

Answers

The answer is:

5.1 x [tex]10^-4[/tex]

Answer: 5.1x10^-4

Step 1: Rewrite number

0.00051

Step 2: Make the number smaller

0.00051 can be used in scientific notation once you move the decimal. The decimal needs to be moved so that the number is between 1 and 10. When moving the decimal 4 places to the right, the number can be left at 5.1.

Step 3: Write in standard form

The number on the left side of the multiplication side will be the number that we made smaller. In this case, it is 5.1. The exponent next to the 10 will be of how many places the decimal was moved. This is -4. The negative sign is used since the decimal was moved to the right.

5.1 x 10^-4

Sarah uses 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries does she need to make one cup of jam

Answers

Answer:

1/12

Step-by-step explanation:

i belive this is the answer

help
dhgdfdfyfyfgfgfjfgfghfhgfdhgdfh

Answers

For the answers
1=26
2=17

Answer:

5=26

14=17

n=1

31n=31*1=31

The picture is above I’ll mark as brainliest.

Answers

Answer:

?=5

Step-by-step explanation:

So let's do 16-6 (3*2)

10/2=5

Answer: ?=5

Step-by-step explanation:

In a rectangle the opposite sides are congruent (same length).

So we have ?+?+3+3=16

Let's use a variable for ?

x+x+3+3=16

Since there are 2 of the variable x we can write it as 2x since 2 of something means it's doubled. We can also combine 3 and 3.

2x+6=16

Let's subtract 6 from both sides.

[tex]2x+6-6=16-6\\2x=10[/tex]

Now let's divide both sides by 2 to find the value of x (which is ?)

[tex]\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]

The value of x/? is 5.

the slope of the line

Answers

Answer: -2

Explanation:  On the image we can see it goes down 4 units and right 2. Giving us the slope [tex]\frac{-4}{2}[/tex]

Simplified that is -2 which is the slope of the line

Draw the graph of y = 2x + 1

Answers

Hoped that I helped you :)

Answer:

Step-by-step explanation:

HELP pleaseee..!!!!!!!!!!!!!

Answers

Answer:

a) 9yd

b) 12ft

Step-by-step explanation:

a) find the square root

b) divide 48 by 4

At what rate, in minutes per lap, does this swimmer swim?

Answers

Answer:

1.6

Step-by-step explanation:

all u gotta do is divide 6.4 by 4:)

hope that helps!<3

There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun one time, what is the probability that the result is a multiple of 3 and a multiple of 4?

Answers

Answer:

1/12

Step-by-step explanation:

multiple of 3 and a multiple of 4 implies it can only be 12.

Since you only have the numbers from 1 to 12,

the prob(the 12) = 1/12

Pls help me I don’t understand this!!!!

Answers

Answer: D

Step-by-step explanation:

D The angle agacent to arc ML is half the degree. Your answer is 118

Answer:

D

Step-by-step explanation:

angle J is a circumference angle that insists on arc ML. the measure the angle  of this arc is double of it

59 * 2 = 118 degrees

what is the area and the perimeter of this figure?
someone plzz helpp mee !
show full working outs
i only have 15mins to finish this assignment ​

Answers

Answer:

area=54

perimeter=30

Step-by-step explanation:

add all the sides=p

multiply 6 and 3 then 6 and 6 and add them together=a

Answer:

perimeter = a+b+c+d+e+f+g

= 6 +3+2+6+6+2+3= 28

area=first of all find the area one by one

area of the lying rectangle is.

a=l×b

but first let's add 3+3 =6

b=6

a=6×6

a=36

area of the standing rectangle

a=l×b

let's add 6+6=12 &2+2=4

a=l×b

a=12×4=48

then let's add both area together

36+48=84

therefore perimeter is 28 and area is 84

Step-by-step explanation:

why is double 6 is because the length are the same.

What is the value of x?

Answers

Answer:

29

Step-by-step explanation:

The right triangle is isosceles triangle so we have the left angle of it is:

180-64=116

116÷2=58

Then start to calculate the left triangle angles:

180-58 = 122

180-122 = 58

58÷2 = 29

Hi! can someone help?

Answers

Answer:

129

Step-by-step explanation:

[tex]\frac{5^{4} }{5} +4[/tex]

[tex]\frac{625 }{5} +4[/tex]

[tex]125 +4[/tex]

129

Mrs. Law’s seventh grade class volunteers for two days at an animal shelter. Each day, 30% of students will be assigned to help groom animals, 50% will be assigned to walk animals, and 20% will be assigned to clean the kennels. Michaela designs a simulation to determine how likely it is that she will be assigned to walk animals both days. She assigns digits as follows:• 0, 1, 2 5 Grooming• 3, 4, 5, 6, 7 5 Walking• 8, 9 5 Cleaning Then she generates the following sets of random numbers for her simulation. 2, 9 5, 2 3, 9 0, 1 8, 3 0, 5 0, 5 8, 3 6, 8 4, 7 7, 4 1, 5 Based on the results of the simulation, what is the probability that Michaela will walk animals on: a. both days? b. one day only? c. at least one day?

Answers

Michaela will walk the dogs B only 1 day only

Based on the results of the simulation, the probability that Michaela will walk animals on:

a. both days = 1/6

b. one day only = 2/3

c. at least one day = 5/6

What is probability?

Probability is simply how likely something is to happen.

Grooming = 0, 1, 2

Walking = 3, 4, 5, 6, 7

Cleaning = 8, 9

Based on the data generated in simulation, categorizing it into "Michael will walk animals zero days/ one day only/ both days based on the digit categorization given above.

(2,9) - zero days

(5,2) - one day

(3,9) - one day

(0,1) - zero days

(8,3) -one day

(0,5) - one day

(8,3) - one day

(6,8) - one day

(4,7) - two days

(7,4) - two days

(1,5) - one day

Probability that Michaela will walk animals both days = [tex]\frac{2}{12} = \frac{1}{6}[/tex]

Probability that Michaela will walk animals one day only = [tex]\frac{8}{12} = \frac{2}{3}[/tex]

Probability that Michaela will walk animals at least one day = Probability that Michaela will walk animals one day only + Probability that Michaela will walk animals two days only  = [tex]\frac{8}{12}+ \frac{2}{12} = \frac{10}{12} = \frac{5}{6}[/tex]

Learn more about probability here

https://brainly.com/question/11234923

#SPJ2



Measurement and Geometry
11. What would the total interior angles be for a 21 sided shape?

Answers

Answer:

sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°

Step-by-step explanation:

Answer: 3420 degrees

Explanation: You use the formula 180(n-2) with n = 21 to find the answer above.

write short note on the rules on how to bisect a line​

Answers

Answer:

here the answer is

If u want nore help please follow

Step-by-step explanation:

STEP 1: Draw a straight line with a ruler. STEP 2: Put the pin of a compass at the end of the line you want to bisect. Set the compass to more than half the length of the line, and draw an arc crossing the line. STEP 3: Keep the width of the compass the same, and from the opposite end of the line draw another arc.

Answer:

First, in your compass take more than half of the given line, i.e, if the line is 5 centimeters, then in the compass take a length more than five centimeters.

Second, Draw an arc, by keeping the compass needle on one end of the line, and do the same by keeping it on the other end.

Two of the arcs will intersect at a point.

Third, do the same, but in the back-ward direction, as in the below of the line. These two will also intersect.

Lastly, draw a line connecting the intersection of the top and below arcs.

I couldnt add the last pic because of the 5 attachments rule. Like I said in the last rule, just join the two arc intersections.

Thank You

Hope u understood

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1

Answers

Answer:

7x + 2y = 1

Step-by-step explanation:

First we find the slope m of the line

The slope of a line that passes through 2 points x1, y1 and x2 , y2 is given as

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

Considering the points (–3, 11) and K(1, –3), the slope of the line m

= (-3-11)/(1 --3)

= -14/4

= 7/2

the line JK may be given as

y - 11 = -7/2(x - -3)

multiply through the equation by 2

2y - 22 = -7(x + 3)

2y - 22 = -7x - 21

7x + 2y = 22 - 21

7x + 2y = 1

Answer:

B

Step-by-step explanation:

7x + 2y = 1

Find the surface area.
1 m
10 m

Answers

Answer:

[tex]A=69.11\ m^2[/tex]

Step-by-step explanation:

Given that,

The radius of cylinder, r = 1m

Height of the cylinder, h = 10 m

We need to find the surface area of the cylinder. The total surface area of a cylinder is given by :

[tex]A=2\pi r^2+2\pi rh\\\\A=2\pi r(r+h)[/tex]

Put all the values,

[tex]A=2\pi \times 1(1+10)\\\\=69.11\ m^2[/tex]

So, the surface area of the cylinder is equal to [tex]69.11\ m^2[/tex].

If f(x) = 5x² – 2x + 7 and g(x) = -2x2 +6x + 3
then f (x)-g(x) =

Answers

Answer:

7x² - 8x + 4

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis by - 1

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

The graphs of four quadratic equations are shown. Identify the number of real solutions of each equation by
dragging descriptions to each graph.

Answers

Answer:

1. 2 real solutions

2. no real solutions

3. 2 real solutions

4. 1 real solution

Step-by-step explanation:

The 'solution' to a quadratic equation means the x - intercepts of a graph, so how many times the parabola crosses the x-axis.

can someone please help

Answers

Answer:

Concurrent as my perception

help ASAP ! it’s due soon

Answers

option

(c) is correct

Step-by-step explanation:

jsjsjd

your answer would be C

simplify 16^x+1 +20(4^2x)/2^x-3 8^x+2

Answers

the answer is in the attachment

Hope it helps

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