Determine the interval(s) on which the given function is decreasing?

Determine The Interval(s) On Which The Given Function Is Decreasing?

Answers

Answer 1

Answer:

(-∞, -1) U (0, ∞)

Step-by-step explanation:

To figure out which parts of the function are decreasing, we need to read the graph left to right.

Given this information, we can figure out that the first part of the graph is decreasing, starts to go up a little bit, and then starts to decrease again.

How do we write this in mathematical terms, however? We simply take the x-values for which parts it decreases.

The graph started on negative infinity, and kept decreasing until -1 on the x-axis. We can write this as (-∞, -1). The graph starts to increase, which is not relevant to the question. As it starts to decrease again, it starts on 0, and slowly decreases to the right, meaning that it is going towards positive infinity. We can write this as (0,∞).

Now that we have both parts of the decreasing function, we can combine them using the union symbol (∪).

Therefore, our final answer is (-∞, -1) U (0, ∞).  


Related Questions

A university freshman class has 5600 students 48% of those stundents are majoring in economics how many students in the freshman class are economics majors

Answers

Answer: 2866 students

0.48 x 5600 = 2688

The total number of students in the freshman class is 2688 students

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of students in the freshman class be = A

Now , the equation will be

The total number of students in the university = 5600 students

The percentage of students in the freshman class = 48 %

So ,

The total number of students in the freshman class = percentage of students in the freshman class x total number of students in the university

Substituting the values in the equation , we get

The total number of students in the freshman class = ( 48/100 ) x 5600

The total number of students in the freshman class = 0.48 x 5600

The total number of students in the freshman class = 2688 students

Therefore , the value of A is 2688 students

Hence ,

The total number of students in the freshman class is 2688 students

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cual es la longitud del alambre que sostiene un poste de 8 m de altura , si dicho alambre esta amarrado al suelo a 4m del poste​

Answers

Answer:

La longitud del alambre que sostiene el poste es 8.94 metros.

Step-by-step explanation:

La longitud del alambre se puede calcular usando Pitágoras:

[tex] L^{2} = P^{2} + B^{2} [/tex]                      

En donde:

L: es la longitud del alambre =?

P: es la altura del poste = 8 m

B: es la distancia del alambre al poste = 4 m

Entonces, la longitud del alambre es:

[tex] L = \sqrt{P^{2} + B^{2}} = \sqrt{(8 m)^{2} + (4 m)^{2}} = 8.94 m [/tex]  

Por lo tanto, la longitud del alambre que sostiene el poste es 8.94 metros.

                               

Espero que te sea de utilidad!

Use the distributive property to multiply. Simplify your Answer.[tex](3y + 5)(3y^{2} +2y-6)[/tex]

Answers

9y^3+6y^2-18y+15y^2+10y-30
9y^3+21y^2-8y-30

Can someone help me :)

Answers

Answer:

51

b+129=180

b+95+34=180

Step-by-step explanation:

hope this helped :)

A rectangular gate has a width of 3 feet and a length of 4 feet. What is the
length from the top left corner to the bottom right corner of the gate? *

Answers

The answer to this question will be the length is 7 feet

In angle LMN, m= 2.1 inches, n = 8.2 inches and ∠L = 85 find the length of l to the nearest 10th of an inch

Answers

Answer:8.3

Step-by-step explanation:trust

6 Item 6 For a specific species of fish in a pond, a wildlife biologist wants to build a regression equation to predict the weight of a fish based on its length. The biologist collects a random sample of this species of fish and finds that the lengths vary from 0.75 to 1.35 inches. The biologist uses the data from the sample to create a single linear regression model. Would it be appropriate to use this model to predict the weight of a fish of this species that is 3 inches long

Answers

Answer:

Yes, because the regression equation is based on the random sample.

Step-by-step explanation:

A simple linear regression model that describes the relationship between X and Y takes the form

Yi= ∝ + βXi + εi or

Y i= U(y.x) + εi

where εi's are the random errors. The random errors εi's are assumed to be independent of Xi and normally distributed with E(εi)= 0 and Var (εi)= σ²(y.x) , a constant for all Xi. These assumptions imply that Yi also have a common variance σ²(y.x) ,  as the only random element in the is  εi.

The estimated regression line Y= a+ bX is also the predictor of Yi= ∝ + βXi+ εi

. That is Y^ can also be used to predict an individual value Y0 of Yi rather than a mean value, corresponding to the given X0. To draw the inferences about Y0 we need to know it mean and variance.

HELP THIS IS DUE TODAY

Answers

Answer:

slope=0

Step-by-step explanation:

Conceptually, y never changes, which means the line is a straight horizontal line.

Mathematically, slope is the change in y over the change in x. For example, if we use the first 2 points:

[tex]\frac{2-2}{1-3} =\frac{0}{-2} =0[/tex]

Because 0 divided by anything is still 0.

Do set of numbers DO NOT form a Right Triangle?
4, 5, 6
9, 12, 15
5, 12, 13
3,4,5

It’s not 3,4,5 apparently..

Answers

Step-by-step explanation:

4,5,6 do not form a right angle triangle cus 4²+5² is not equal to 6² i.e 16+25is not equal to 36

If the tax rate in a certain city is 8.75%, how much tax is added to the purchase of carpeting that costs $1,500?

Answers

Answer:$1312.5

Step-by-step explanation:

1500x1.875=2812.5

2812.5-1500=1312.5

how do I solve the question 3/4+1/2

Answers

Answer: 1 1/4

Step-by-step explanation:

Given the equation 3x + y = 14, determine the slope of the line

Answers

Answer:

-3 is the slope of the line.

Step-by-step explanation:

You have to rearrange the equation to slope intercept form, y=mx+b.

3x+y=14

-3x     -3x

y=-3x+14

Answer:

3x + y = 14

Step-by-step explanation:

rewrite in y = mx + b format

i.e y = 3x - 14

where m = slope

therefore m=3

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 30 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 30 weeks and that the population standard deviation is 2.8 weeks. Suppose you would like to select a random sample of 56 unemployed individuals for a follow-up study.

Required:
a. Find the probability that a single randomly selected value is greater than 27.6.
b. Find the probability that a sample of size n=80 is randomly selected with a mean greater than 27.6.

Answers

Answer:

a) The probability that a single randomly selected value is greater than 27.6

P( X≥27.6) = 0.8051

b) The probability that a  sample of size randomly selected value is greater mean greater than 27.6

P( X≥27.6) = 0.9998

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 30 weeks

The Standard deviation of the Population = 2.8 weeks

Let 'X' be a Normal distribution

[tex]Z = \frac{x-mean}{S.D} = \frac{27.6-30}{2.8} = -0.857[/tex]

The probability that a single randomly selected value is greater than 27.6

P( X≥27.6) = P(Z≥-0.857)

                 =  0.5 + A(-0.857)

                = 0.5 + A(0.857)

               = 0.5 + 0.3051

               = 0.8051

Step(ii):-

Let 'X' be a Normal distribution

[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } } = \frac{27.6-30}{\frac{2.8}{\sqrt{80} } } = -7.6677[/tex]

The probability that a  sample of size randomly selected value is greater mean greater than 27.6

P( X≥27.6) = P(Z≥-7667)

                 = 0.5 + A(-7.667)

                 =0.5 +0.4998

                 = 0.9998

NEED HELP ASAP (only need help on 8)
step by step preferably but any help will do

Answers

Answer:

∠W=110

∠X=110

∠Y=70

∠Z=70

Step-by-step explanation:

∠X+∠Y=180 (supplementary angles)

(13x-7)+(8x-2)=180

21x=189

x=9

∠X = 13x-7 = 13(9)-7 = 117-7 = 110

∠Y = 8x-2 = 8(9)-2 = 72-2 = 70

Since WX║ZY and WZ=XY, ∠Z=∠Y and ∠W=∠X

After two six sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?
A. 0.222
B. 0.167
C. 0.083
D. 0.139

Answers

Answer:

hope this helps you

option B

Step-by-step explanation:

ecf-zutd-cpt.

The probability that the dice faces add up to either 4 or 6 is 0.222.

What is Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Here, After two six sided dice are rolled,

Total outcomes = 36

Probability of getting sum 4 = 3/36     {(1, 3), (2, 2), (3, 1)}

Probability of getting sum 6 = 5/36

Total Probability of getting sum either 4 or 6 = 3/ 36 + 5/36

                                                                          = 8/36

                                                                          = 2/9

                                                                          = 0.222

Thus, the probability that the dice faces add up to either 4 or 6 is 0.222.

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8(5 – 2x)
need help answering this question

Answers

Distribute property.
8x5= 40
8x2x= 16x
40-16x

Let's simplify this problem using the distributive property.

The first thing we want to do is change the minus to plus a negative.

Now distribute or multiply the 8 times

each of the terms inside the set of parentheses.

So we get 8(5) + 8(-2x) and this simplifies to 40 + -16x.

-2 (x + 5) = 4 formula to find X​

Answers

Answer:

-2x -10=4

-2×=4+10

-2×=14

×=14/-2

therefore,×= -7

729 ÷ 0.9
Do the solution
If its right i will make
You the brainliest

Answers

Answer:

Here's your ans

hope it helps you

reduce a)95/75 b) 250/750 to its simplest form

Answers

Answer:

a) 19/15 b) 1/3

Step-by-step explanation:

in both the question I reduced the numbers with 5

This figure consists of a rectangle and a quarter circle.


What is the perimeter of this figure?


Use 3.14 for π.




Enter your answer as a decimal in the box.


cm

Answers

Answer:

75.27

Step-by-step explanation:

Rectangle = 20+2+2+20-11=47

quarter circle = 1/4(2)(11)(3.14)=17.27 + 11 = 28.27

47+28.27=75.27

Answer:

75.27.cm

Step-by-step explanation:

it works i got a 100 on the test

How many gallons of 12% salt solution should a biologist add to 5 gallons of 15% salt solution to get a 14% solution?

WILL MARK BRAINLIEST IF ANSWERED WITHIN 15 MINUTES

Answers

Answer:

life

Step-by-step explanation:

hi

Help me please please dont answer if you don’t know i will also give brainliest

Answers

Answer:

$100.75

Step-by-step explanation:

422.05 - 106.30 - 310.00 + 95.00 = 100.75

7(4g) + 3(5h) +2(-3g) g=1/2, h=1/3

Answers

Answer:16

Step-by-step explanation:

Will mark brainliest! Answer quickly please.

Answers

1400kg.
Force=ma
2100N= m*1.5
2100/1.5= 1400kg.
Please mark me brainliest :)

Each of 150 volunteers was assigned at random to one of five rooms where they were asked to taste and rate a glass of wine. In one of the rooms, no music was playing and a different style of music was playing in each of the other four rooms. The researchers concluded that cabernet sauvignon is perceived as being richer and more robust when bold music is played than when no music is heard.

Required:
a. Is the study described an observational study or an experiment?
b. Can a case be made for the researcher's conclusion that the music played was the cause for the higher rating? Explain.

Answers

Answer:

a. Experiment

b. yes

Step-by-step explanation:

The study being conducted in this scenario is an experiment because different groups are being created and both an independant variable and dependant variable are being introduced. This means that there is researcher involvement and therefore makes this an experiment and not an observational study.

Yes, a case can be made for such a claim. This is because the music being played is the dependent variable in each of the groups. Meaning that the only difference in each of the groups was the music. Therefore, any differences in the data gathered can be connected to the music.

In permutations, order matters.

A) True
B) False
C) Both
D) Unable to answer this question with the data given because permutations are always changing.

Answers

The order you put the numbers in matters.

A survey was carried out on 40 travelers . 12 of them said they had traveled to Ghana and not to Cameroon. 8 said they had travelled to Cameroon and not Ghana. 10 said they had not traveled to either one of the countries. Draw a Venn diagram to find 1. The number of travelers that had gone to both countries before. 2. The number of travelers that had gone to Ghana before.


It’s urgent.

Answers

Answer:

10 ; 22

Step-by-step explanation:

Ghana = G

Cameroon = C

Cameron only = 8

Ghana only = 12

Total sampled = 40

Both Ghana and Cameroon = x

Not traveled to either = 10

Ghana only + Cameroon only + both Ghana and Cameroon + not traveled to either  = total sampled

12 + 8 + x + 10 = 40

30 + x = 40

x = 40 - 30

x = 10

Number that had gone to Ghana before :

Ghana only + both

12 + x

12 + 10

= 22

Answer:

Step-by-step explanation:

[tex]5x/x-4=20/x-4+3[/tex]

Answers

Answer:

x=4

Step-by-step explanation:

multiplying everything by x-4 we get

5x=20+3x-12

2x=8

x=4

if my answer helps please mark as brainliest.

Carlos, Margaret, and James are playing a board game with a spinner. The spinner goes from 1 to 6. They
start by spinning to see who will go first. (Highest number will go first.)
1. First, Carlos spins a 3. How likely do you think it is that Margaret will get a higher number?

Answers

The answer would be 1/2. The probability of Margaret getting any number on the spinner would be 1/6. Since 3 doesn’t count, that means that Margaret can get the numbers 4, 5, and 6. Because of that you would do 1/6 * 3 which gets you 1/2.

Probability that Margaret will get a higher number than Carlos is 3/2.

What is probability?

Probability is the measure of the likelihood of an event to occur.

Formula of probability

P(E) = number of favorable outcomes/ total number of outcomes

Where, P(E) is the probability of an event.

According to the question we have,

A spinner goes from 1 to 6.

sample space = {1, 2, 3, 4, 5, 6}

Total number of outcomes = 6

Also, Carlos spins 3.

So, the numbers which required to win the game by Margaret are 4, 5 ,6 (greater than 3).

Total number of favorable outcomes = 3

Therefore,

The probability that Margaret will get a higher number than Carlos = [tex]\frac{3}{2}[/tex]

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i wi mark you brainless and give point of this gets completed

Answers

Answer:

1. (x + 5)(x +10)

2. (x - 7)( x - 8)

3. (x - 4)( x - 7)

4. 2(7x−1)(x−9)

5. (2x+9)(x+6)

6. (x−1)(x−2)

7. (2x+3)(x+8)

8. (9x−2)(x−7)

9. 6(x−6)(x+7)

10. (9x+10)(x−4)

11. (3x+7)(x+3)

12. (x−9)(x−9)

13. 4(9x−10)(x−8)

14. 3(x+3)(x−9)

15. 2(x−1)(x+3)

16. 2(3x−1)(x+2)

17. 5(x−2)(x−2)

18. 2(x−1)(x−2)

Step-by-step explanation:

I'm so sorry it took this long that made my brain hurt it was worth it

Sorry it took so long..

hope I helped!!

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