Mr. Trpkosh was calculating the rate of change of two functions. The first function had a rate of change of -10; the second function had a rate of change of 8. Norman said the second function had the greater rate of change because 8 is greater than -10. Do you agree or disagree with Mr. Trpkosh? Explain your answer. *

Answers

Answer 1

Answer:

No, I do not agree with Mr. Trpkosh.

Step-by-step explanation:

The rate of change of a function means the total change in the function for a unit change in the independent variable.

If the function is increasing with increment in the independent variable, then the rate of change of the function is positive, while if the function is decreasing with the same,  then the rate of change of the function is negative.

Given that the rate of change of the first function = - 10, so this function is decreasing with a rate of 10.

The rate of change of the second function = 8, so this function is increasing with a rate of 8.

So, the first function has a higher rate of change.


Related Questions

Sydney and Tom each count the number of steps it takes for them to walk to school. Sydney counts a 4-digit number of steps. The total of Sydney's steps and Tom's steps in also a 4-digit number of steps. What is the greatest possible digit in the thousands place for Sydney's steps or for Tom's steps? Explain.

Answers

Answer:

8

Step-by-step explanation:

Using the information provided we can say that the largest number of steps for either Sydney or Tom would be 8999 making the digit in the thousands place an 8. This is because both Sydney and Tom counted 4 digits meaning the lowest number for either of them is 1000 steps. Since the question also states that the combination/total of both their steps is still a 4 digit number, this means that the total must not exceed 9,999 steps. Therefore if the minimum is 1000 the maximum can only be 8,999 before going into the 5 digit number of steps.

1/2 (8x-2) + (-2x + 1/4)

Answers

1/2(8x -2) + ( -2x + 1/4)

(4x -1) + (-2x + 1/4)

=

(2x - 3/4) or (2x - 0.75)

I WILL GIVE BRAINLIST IF YOU ANSWER ALLLLLLLLL

Activity
A pom pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If each pom pom has a total of 80 strands, how many strands of each color are needed to make a pair of pom-poms?
Part C How many strands of each color are required to make a pair of pom-poms? Use the values you found in part B for w, b, and r. Show your work


Part D You can solve the problem in Part C using a different method. To set up this method, first find the total number of strands required to make pair of pom-poms.


Part F Did you get the same answer in part C and E?

Answers

Answer: 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

Step-by-step explanation:

Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).

To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?

Solution:

Total Strands = 80

White Strands = 35%

No. of white strands =

Blue Strands = 25%

No. of blue strands =

Red Strands = 40%

No. of Red strands =

50 POINTS ASAP PLZ HELP NOW IM IN TEST
One factor of the polynomial 6x^3-x^2+8x+5 is (2x+1) What is the other factor of the polynomial? (Note: use long division)

Answers

3x^2 - 2x + 5

Good luck! (:

700 decreased by 62% is?

Answers

Answer:

The answer I got was 266

Step-by-step explanation:

700 - 62% = 266

62% = 434

700 - 434 (62%) = 266

Audrey and Addy also went hiking up Mount Olympus. Audrey's distance in June was 2.95 miles and for July 2 5/8 miles. Addy went 2.85 miles in June and 3 3/8 miles in July. How much farther did Addy hike than Audrey in both June and July? *Answer will be in decimal form

Answers

Answer:

Addy hiked 0.65 miles more than Audrey.

Step-by-step explanation:

In June we have the following distance traveled by Audrey (Au) and Addy (Ad):

[tex] Au_{Jun} = 2.95 miles [/tex]

[tex] Ad_{Jun} = 2.85 miles [/tex]

And, in July we have:

[tex] Au_{Jul} = 2 + 5/8 miles = 21/8 miles = 2.625 miles [/tex]

[tex] Ad_{Jul} = 3 + 3/8 miles = 27/8 miles = 3.375 miles [/tex]

Hence in June and July, they traveled:

[tex] Au_{T} = Au_{Jun} + Au_{Jul} = 2.95 miles + 2.625 miles = 5.575 miles [/tex]

[tex] Ad_{T} = Ad_{Jun} + Ad_{Jul} = 2.85 miles + 3.375 miles = 6.225 miles [/tex]

Now, we can find how much farther did Addy hike than Audrey in both June and July:    

[tex] d = Ad_{T} - Au_{T} = 6.225 miles - 5.575 miles = 0.65 miles [/tex]

Therefore, Addy hiked 0.65 miles more than Audrey.

I hope it helps you!    

6 7/16 - (-4.75)=
need help

Answers

Answer:

143 / 16

Step-by-step explanation:

Simplified: 8.9375

Answer:

11.1875, [tex]\frac{179}{16}[/tex], or 11 [tex]\frac{3}{16}[/tex]

Step-by-step explanation:

6 [tex]\frac{7}{16}[/tex] - (-4.75) =

Decimal form - 11.1875

Exact form - [tex]\frac{179}{16}[/tex]

Mixed Number form - 11 [tex]\frac{3}{16}[/tex]

hope this helps :)

What is the SLOPE-INTERCEPT form of the line that passes through the
points (-4,-1) and (3, 2.5). Make sure to choose (X1, Y1) and (x2, Y2)
carefully. Be CAREFUL with your calculations.

Answers

The answer would be Y=0.5x+1

Answer and I will give you brainliest.

A cat can travel a distance of 32.5 meters in 13 seconds. What is the average speed of the cat to the nearest hundredth of a m/s? *

A 2.5 mph
B 0.4 mph
C 2.5 m/s
D 0.4 m/s

Answers

Answer:

D: 0.4 m/s

Step-by-step explanation:

32.5 in 13 sec

32.5/32.5=1

so

13/32.5 would be the answer

1 meter in 0.4

Answer:

C

Divide 32.5 with 13, because m/s means meters divide by seconds

im not sure tho

What is 12% of 504 please let me know

Answers

Answer:

504 * 0.12 = 60.48

Step-by-step explanation:

math

Answer:

its 60.48

Step-by-step explanation:

Convert 12% to a decimal which is 0.12

then do the sum 0.12x504

If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.

Answers

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

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

next perform a long division

x -1  || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

          2x^3 - 2x^2

          ===========

                    -12x^2 + 28x

                     -12x^2 +12x

                     ==========

                                  26x -26

                                  26x - 26

                                 ========

                                      0

Now you can factor 2x^2 - 12x + 26

                                 2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

     =============

                 2

x  = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

1

3 +/- 2i

Kainoa collects trading cards. He has 1,032 baseball cards, 709 basketball cards, and 833 football cards. He wants to put all of them in albums. Each page in the albums holds 18 cards. How many pages will he need to hold all of his cards? He will need pages

Answers

Answer:

143 pages

Step-by-step explanation:

Kainoa has:

1,032 baseball cards, 709 basketball cards, and 833 football cards.

Totally number of cards =

(1032 + 709 + 833)cards = 2574 cards

We are told that:

Each page in the albums holds 18 cards

The pages he will need to hold all of his cards is calculated as:

2574 cards ÷ 18 cards = 143 pages.

which fraction is less 2/10 or 5/8 or neither they are equal

Answers

2/10 is less, because with a common denominator they are 8/40 and 25/40.  Since 5/8 = 25/40, and 8/40 is smaller than that, 2/10 is smaller.

Answer:

2/10 is less than 5/8

Step-by-step explanation:

2/10 =0.20

5/8= 0.625

0.20<0.625

Which expression represents “7 more than x” 7+x x-7
x÷7 7x

Answers

Answer:

7+x

Step-by-step explanation:

this could also be written as “x + 7” and it means 7 more than (+) x

Answer:

It is 7+x (✿◠‿◠)

Evaluate the expression. [(3–5)(34)]3

Answers

Answer:

-204

Step-by-step explanation:

(3−5)(34)(3)

=−204

Write the sentence as an equation.
m divided by 341 equals 315

Answers

Answer:

m/341=315

Step-by-step explanation:

Answer:

m/341=315 because the divided symbol is / and the equals symbol is = so replace the words with the symbol.

12) 12 ft. = ? yd. (1yd. = 3 ft)

13) 2 gal. = ? qt. (4qt.= 1 gal.)

14) 2 gal. = ? oz. (1qt. = 32 oz.)

Help!!

Answers

12. 4 yds.
13. 8 qts.
14. 118 oz

The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.

Answers

Answer:

It's a &d

Step-by-step explanation:

The required Area of trapezoid(a) = 1/2(b1+b2)h.

What is quadrilateral?

Quadrilateral is four sided shape as given in the picture in question.

Question seems to be incomplete. So the correct option resembles with
Area of trapezoid a = 1/2(b1+b2)h

Thus, the required area of trapezoid
a
= 1/2(b1+b2)h

Learn more about quadrilateral here:
https://brainly.com/question/13805601

#SPJ2


-1/4 multiplied by 1 1/2

Answers

Answer:

[tex]-0.375[/tex]

For more help, take a look at this chart.

Angelina put 3,000 milliliters of water in a tub that already has 5 liters of water in it. Jack says the
tub now has 35 liters of water in it. Angelina says he is wrong.
Carry out your steps. Explain who is correct and why.

Answers

Answer:

Jack is wrong because 3,000 milliliters is equal to 3 liters.  If the tub already has 5 liters in it, adding 3 liters makes the tub have 8,000 liters. Angelina is correct when she says Jack is wrong.

4j+2=h solve for j please help

Answers

Answer:

j = [tex]\frac{h-2}{4}[/tex]

Step-by-step explanation:

Given

4j + 2 = h ( subtract 2 from both sides )

4j = h - 2 ( isolate j by dividing both sides by 4 )

j = [tex]\frac{h-2}{4}[/tex]

Solve the quadratic equation below by completing the square. What are the solutions?
x^2 - 16x + 50 = 21
A. X= -8+sqrt 7
B. X= 8 + sqrt 7
C. X= 8 +sqrt 35
D. X= -8+sqrt 35

Answers

By completing squares we will see that the solutions are:

[tex]x =\pm \sqrt{35} + 8[/tex]

How to complete squares?

Here we have the quadratic equation:

[tex]x^2 - 16x + 50 = 21[/tex]

We can rewrite it as:

[tex]x^2 - 2*8*x + 50 - 21 = 0\\\\x^2 - 2*8*x + 29= 0[/tex]

Then we must have a 8² term to complete squares, then we need to add and subtract 35.

[tex]x^2 - 2*8*x + 29 +35 - 35= 0\\\\(x - 8)^2 - 35 = 0\\\\(x - 8)^2 = 35[/tex]

Now we can solve this:

[tex]x =\pm \sqrt{35} + 8[/tex]

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ2

2 (x - 5) = 7 + 2x
What is the answer ?? I need help !?

Answers

Answer:

0=17

Step-by-step explanation:

2X - 10=7 +2x

-10 = 7

7 is fasle

i believe the answer is 17

A three-digit personal identification number is chosen using the digits 1–9. The digits cannot be repeated. What is the approximate probability that the first digit will be 6? 0.00595 0.03571 0.11111 0.66667

Answers

Answer: C

Step-by-step explanation:it’s the 3rd ans on edge

The question is an illustration of probability, and the approximate probability that the first digit will be 6 is (c) 0.11111

How to determine the probability?

The number of digits in the pin = 3

Given that each digit cannot be repeated, the total number of pin is:

Pin = 9 * 8 * 7

Evaluate

Pin = 504

If the first digit is 6, the number of pins is:

First digit6 = 1 * 8 * 7

First digit6 = 56

So, the probability that the first digit is 6 is:

P = 56/504

Evaluate

P = 0.1111

Hence, the approximate probability that the first digit will be 6 is (c) 0.11111

Read more about probability at:

brainly.com/question/251701

#SPJ2

simplify show your work

Answers

4(1-3x)+7x-8

4-12x+7x-8

-12x+7x+4-8

-5x-4

The answer is -5x-4

Could you give me the brainlist?

how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST

Answers

Answer:

8(4+4) =7 38+38

=86

5(x – 10) = 30 – 15x
Solve

Answers

Answer:

x=4

Step-by-step explanation:

5(x-10) = 30- 15x

5x - 50= 30 - 15x

+15x              +15x

20x - 50 = 30

       +50    +50

20x = 80

/20     /20

x = 4

Hope this helps!

Order the numbers from least to greatest.
6.8
[tex] \sqrt{13} [/tex]
[tex] \frac{26}{3} [/tex]
[tex] \sqrt{ \frac{54}{3} } [/tex]

Answers

Least to Greatest: radical 13, radical 54/3, 6.8, 26/3.

29 2/3 divide 7 1/2
what’s the answer

Answers

Answer:2 5/42 or 89/42

Step-by-step explanation:

The answer would be 1/21
I tried to just write the answer but they said I had to write 20 sentence.

Population density is the number of people per unit of area. The population density of a certain region
is 60 people per square kilometer. If the region covers 23 square kilometers, what is the population of the region

Answers

Answer: 1380

Step-by-step explanation:

We have been given that population density is the number of people per unit of area.

Therefore, the population of the region would be 1380 people.

 

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