The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and how to construct a rough graph of W(x) so that the Parks Department can predict when there will be no change in the water level. You may create a sample polynomial of degree 3 or higher to use in your explanations.
(Dividing and Solving Polynomials)

Answers

Answer 1

First. Finding the x-intercepts of  

Let  be the change in water level. So to find the x-intercepts of this function we can use The Rational Zero Test that states:

To find the zeros of the polynomial:

We use the Trial-and-Error Method which states that a factor of the constant term:

can be a zero of a polynomial (the x-intercepts).

So let's use an example: Suppose you have the following polynomial:

where the constant term is . The possible zeros are the factors of this term, that is:

.

Thus:

From the foregoing, we can affirm that  are zeros of the polynomial.

Second. Construction a rough graph of  

Given that this is a polynomial, then the function is continuous. To graph it we set the roots on the coordinate system. We take the interval:

and compute  where  is a real number between -2 and -1. If , the curve start rising, if not, the curve start falling. For instance:

Therefore the curve start falling and it goes up and down until  and from this point it rises without a bound as shown in the figure below


Related Questions

Identify the like terms in the expression 4x+5-x^3-3x

Answers

4,5 ,-3 would be your answer

Lin understands that expanding is using the distributive property, but she doesn’t understand what factoring is or why it works. How can Kiran explain factoring to Lin?

Answers

Kiran can explain factoring to lin by finding what multiples together to get an expression. It is in a way, like splitting an expression into multiplication easier expressions.

Answer:

doing this so other guy gets brainliest

Step-by-step explanation:

I really need help!!!!!!​

Answers

Answer:

y = 1.50x + 4 ;

Step-by-step explanation:

Given that bike rental cost $4 plus $1.50 per hour

From the information given, the change in y per unit change in x is the value of the slope ;

Therefore, Given that total cost = y and x) number of hours

Change in cost per change in number of hours) 1.50 = slope ; intercept = constant = $4

The equation, in slope intercept form :

y = mx + c

y = 1.50x + 4

Can the following side measures make a triangle: 11in., 12in. and 13in?

Answers

Answer:

Yes

Step-by-step explanation:

Hello There!

Remember the sum of the two shorter sides has to be greater than the largest side in order for it to be a triangle

11+12 must be greater than 13

11+12=23

23>13 therefore the side lengths can form a triangle

A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step
— 5х + бу = 41
7x - 6y = -43

Answers

Answer:

6y-6y, cancel it out to find x first.

-5x+6y=41

7x-6y=-43

2x=-2

Step-by-step explanation:

i hope this helps :)

Answer:

Step-by-step explanation:

The first step is to add the 2 equations This will eliminate the y terms  

( + 6y + -6y = 0).

So you are then left with 2x = -2

who are these bots giving us links i’m literally gonna fail now

Answers

Answer:

Fr. It’s annoying. My mom yells at me for not passing lolz.

Step-by-step explanation:

Answer:

Ignore them and re-upload the questions. The links are very bad.

Step-by-step explanation:

Joe has been riding his bicycle at a speed of 12 mph and has gone 48 miles. How long has he been riding?

Answers

Answer:

Joe's been riding 4 hours because if you divide 48 by 12 it gives you 4 and it's by hours so it would be 4 hours. point blank period.

Step-by-step explanation:

PLS HELP MEEEEEEEE I WILL GIVE BRAINLIEST :D

Answers

Answer:

A is true and f is true

Step-by-step explanation:

Answer:

a, d, e, and g

Step-by-step explanation:

if you multiply two negatives, you get a positive

The ages of student volunteers at an event are: 13, 11, 12, 15, 16, 11, 12, 14, 15,
and 11. Find the median *

Answers

Answer:

12.5

Step-by-step explanation:

Median = middle number
Put the values in order from least to greatest

11, 11, 11, 12, 12, 13, 14, 15, 15, 16
Which number is in middle?
12 and 13 so find what’s in between

Solution: 12.5

which is the best estimate for 7/8 4/9

pls helpp anyways tiktok- kamii_;/

Answers

Answer:

7/8 if u want more if u want less then it 4/9

Step-by-step explanation:

Find the area of the triangle below.

Answers

Answer:

20.25

Step-by-step explanation:

Just multiply the base and height then divide the results in half.

Hope this helps!

ONLY ANSWER IF U KNOW!
Find the limit of the function algebraically.

Answers

Answer:

lim [(x(2) + 3) × 1/ x(4) ] = 3 × ( + ○○) = + ○○

Eduardo bought 2-liter sports drink for soccer practice.During practice,Eduardo drank 250 millimeters of the sports drink.Then he drank another 1/2 liter of the drink after practice.How many milliters of the sports drink did Eduardo have left

Answers

Answer:

1,250 millileters

Step-by-step explanation:

The computation of the number of milliters of the sports drink left is shown below:

Given that

The 2-liter sports drink is purchased

And, drank 250 millimeters and than drank one-half liter of the drink

Now convert liter to millileter

1 litre = 1000 milliliter.

2 liters = 2 × 1000 milliliters.

= 2000 milliliters.

Now the left drink would be

= (2000 - 250) - (250 × 2)

= 1,750 - 500

= 1,250 millileters

2/6, 5/12, 3/7, and 4/10. List least to most

Answers

Turn them into percentages:
2/6=1/3=33.333%
5/12=42%
3/7=43%
4/10=2/5=40%

Now put them in order :)

2/6,4/10,5/12,3/7

I got correct on this question but I wrote some of the numbers in a different order, is it okay if I wrote it in a different order on every question similar like this?

Answers

Answer:

however it works for you along as you get the right answer

Step-by-step explanation:

Answer:

Yeah you will most likely get the same answer

Step-by-step explanation:

as long as you don't mix up (for this example of course) the service call fee (which is the constant) and the fee for each hour of labor (the coefficient of the variable), you are good

Ok So could you please tell me where I went wrong?​

Answers

Answer:

lateral surface area =perimeter of base×height=

={4+7+7+11)×6=174 km²

Step-by-step explanation:

Write the sentence as an equation
the product of 48 and g, reduced by 26 is equal to 345 subtracted from the quantity g times 150

Answers

Is there any answer choices so I can choose?

What is the longest line segment that can be drawn in a right rectangular prism that is 13 cm long 9 cm wide and 7 cm tall

Answers

Answer: 17.29 cm

Step-by-step explanation:

Given

The dimension of a rectangular prism is [tex]13\ cm\times 9\times \ cm\times 7\ cm[/tex]

The longest line which can be drawn in the rectangular prism is diagonal across the body which is shown in the figure

Length of rectangular is given by

[tex]\Rightarrow L=\sqrt{l^2+b^2+h^2}[/tex]

Putting values

[tex]\Rightarrow L=\sqrt{13^2+9^2+7^2}\\\Rightarrow L\sqrt{169+81+49}=\sqrt{299}\\\Rightarrow L=17.29\ cm[/tex]

Answer:

17.3

Step-by-step explanation:

The dimension of a rectangular prism is 13x9x7

you would normally get 17.29 but  you have to round

which gives us the answer= 17.3

Which is a better deal: 30 fluid ounces of shampoo for $3.55 or 50 fluid ounces of shampoo for $6?

Answers

30 fl oz for $3.55

if we make them each 10 fl oz then here are the costs:

$1.18 (originally 30 fl oz)

$1.20 (originally 50 fl oz)

a kite is flying at an altitude of 20 meters elevation from the ground to kite is 30

Answers

I think 35 meeters sowwy if I’m wrong

12.75 x 2 plus 13 x 3 plus 13.25 x 4 plus 13.5 x 3 PLEASE HELPPP QWICKKKK

Answers

Answer:

158

Step-by-step explanation:

I NEED HELP PLSSSSS I WILL MARK BRAINLEIST <3

Answers

the answer is C...... ....

C. .....

What is the product of (3y^-4)(2y^-4)?

Answers

Answer:

6/ y^8

Step-by-step explanation:

The answer is 6/y^8

Este año en la escuela de inglés, el numero de usuarios de intagram ha alcanzado la cifra de 2604 alumnos, lo que supone un aumento del 24% respecto del año pasado. ¿ cuantos usuarios habia el año pasado?

Answers

Answer:

the number of users in the last year is 2,100

Step-by-step explanation:

The computation of the number of users in the last year is shown below:

Given that

The users are 2604 that are increased to 24% as compared with the last year

So, the users in the last year is

= 2604 ×100 ÷ 124

= 2,100

Hence, the number of users in the last year is 2,100

Answer:

688

Step-by-step explanation:

ithink

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answers

Answer:

y= 3

x= -2

Step-by-step explanation:

..,............

Working together, Daniel and Donnie can clean the llama pen in 45 minutes. On his own, Daniel can clean the pen in an hour. How long does it take Donnie to clean the llama pen on his own?

Answers

Answer:

It takes him 15 minutes.

Step-by-step explanation:

Donnie clean the llama pen in 180 minutes on his own.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Daniel and Donnie can clean the llama pen in 45 minutes.

And, On his own, Daniel can clean the pen in an hour.

Now,

Let time to clean the llama pen in on his own = x minutes.

Since, Daniel and Donnie can clean the llama pen in 45 minutes.

So, In 1 minute, Daniel and Donnie clean the pen = 1/45

And, In 1 minute Daniel to work = 1/60

Thus, We can formulate;

1/x + 1/60 = 1/45

Solve for x as;

(60 + x) / 60x = 1/45

60 + x = 60x / 45

60 + x = 4x/3

180 + 3x = 4x

180 = 4x - 3x

180 = x

Thus, Donnie clean the llama pen in 180 minutes on his own.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

can someone please help me with this question?

Answers

Answer:

your answer will be 70 have a nice day:)

Step-by-step explanation:

43+27=70

Answer: 18

Step-by-step explanation:

           To answer this question you have to add all the number and however many over 100 there is that how many like both of the teams so 27 + 48 + 43 = 118

then you take 100 away from 118 and you get 18

help with questions 10-13 plz!!

Answers

Answer:

._. ;

._. ;

._. ;

what is is 7 *10+ 7 i need to now please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

77

Step-by-step explanation:

7x10 is 70 plus 7 is 77

2. A wooded area is in the shape of a a trapezoid whose bases measure 128 m and $2 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the watkway

Answers

Correction in the Question:

A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the walkway.

Answer:

The wooded area after the addition of the walkway is 4240 [tex]m^2[/tex].

Step-by-step explanation:

we are given

length of the two bases = 128m and 92m

height of the trapezoid = 40m

the approximate figure of the given trapezoid is given as:

             __ __ __ 92 __ __ _

          /  |               |  |                 \

       /     | 40         |4|                    \

    /__ _| __ __     |  |__ __ __ __ \

                           128

Area of a trapezoid = [(a + b)/2] * height, where a and b are representing the bases of the given trapezoid.

Area = [(92 + 128)/2] * 40

        = [220/2] * 40  

        = 110 * 40

        = 4400 [tex]m^2[/tex]

Now there is a 4m wide walkway is to be constructed in that trapezoid. The pathway will be a rectangle as it has 4m width and 40m height as it is perpendicular to both the bases.  

Area of a rectangle = length * width

Area = 40 * 4

        = 160

Since the walkway will reduce the area of the trapezoid as it is constructed upon it therefore the wooded area after the addition of the walkway is

4400 + (-160) = 4240 [tex]m^2[/tex].

Other Questions
What is the difference between a sample and a population?a. Populations only consider a portion of the sample being studied. This answer is incorrect.b. Samples are generally much larger than populations.c. Populations do not always represent the entire group of people in question.d. Samples only consider a portion of the population being studied. Which energy source produces less negativeenvironmental impactsA)Renewable Energy SourcesB)Fossil FuelsHelp Why is Rome warmer than New York in January pls help =pdndjn mkZbn v A scientist isolates a disease-causing particle. Which of the following properties would indicate that the particle is a virus and not a bacterium? Answer all or none! Ty! Match the organism with its correct rolebear MushroomgrassConsumerdecomposerproducer If slavery still existed what would life be like. pls help me on them all Au + FeSO4= ????????? What is another way to write -8+5? Find the area of a parallelogram. If base = 15 cm; height= 5 cm Four impacts of toxic relationship on setting life goals What is the force of a 3 kg skateboard accelerating at a rate of 4m/s2? Plug in the numbers: Force = mass x acceleration PLEASE HELP! I think it's F but I'm not sure... Am I right???The structural layers of the sun are shown in the cross-sectional diagram.Which layer represents the chromosphere?Select one:a. Cb. Dc. Ed. F RESUMEN DE LA OBRA LITERARIA PALOMA POR FAVOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOR a) 5x-12=2x-3b) 8x+2=5x+8c) 7x-5=4x-2 please Do,k= (0,2) (0,6) the scale factor is 3 0 1/3 Which theme does Viola's subplot develop in Act II and Act III of Twelfth Night?A. Deceit can be dangerous.B. Love is all aroundC. One should be true to oneselfD. Do not give up easily. A company prepares their shipments in two different-sized boxes. In order to fit with new shipping regulations, the company needs to decrease the volume of the boxes and will do this by reducing each of the dimensions by at least x inches.Which system of inequalities can be used to model V, the volume of each box, after each dimension has been reduced by at least x inches?