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

Find the distance between the two points rounding to the nearest tenth (if necessary). (-1,8) and (8,5)​

Answers

Your answer to is 9.5

{67, 68, 68, 71, 73, 73, 73, 74, 74, 74, 74, 75, 75, 77, 78, 79, 79, 80, 80}
What is the mean of the data?
1,412
862
79
74

Answers

Answer:

the answer is 1,412

Step-by-step explanation:

all you do is add all the numbers together

please help, tysm for your assistance if you do :)

Answers

Answer:

27/49

plz mark me as brainliest

Four times the sum of a number r and 4 is equal to 20 less than 10 times the number r. What is the value of r ?

Answers

Answer:

r = 6

Step-by-step explanation:

According to the question,

4(r + 4) = 10r - 20

4r + 16 = 10r - 20

16 + 20 = 10r - 4r

6r = 36

r = 36 / 6

r = 6

WILL MARK BRAINLIEST ON CORRECT ANSWER
Which type of line symmetry does the figure have?
vertical
horizontal
diagonal
none

Answers

i believe none is the answer due to the fact it isn’t symmetrical. sorry if i am wrong. let me know if i am

Please please help this is overdue

Answers

Answer

only the graph is a function. I can tell by doing the vertical line test on the graph and making sure that each x value only happens once. On the table it is not a function since the x values repeat.

Put all equations into y= and see which have matching graphs.

Answers

Answer:

I don't see any equations.

The points (x, 3) and (-1, -4) lie on the same line. If the slope of the line is 1, what is
the value of x?
A-3
B 1
C 6
D-6

Answers

Answer:

C)  6

Step-by-step explanation:

use slope formula:

(-4 - 3) / (-1 - x) = 1

cross-multiply:

-7 = -1 - x

-6 = -x

6 = x

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Answers

Answer:

x=8

Step-by-step explanation:

The ratio of the sides is 7:14=1:2. So, the ratio of DF:XZ is 1:2. DF=2x-5, and XZ=22. This makes the ratio. 2x-5:22=1:2. That means 2x-5 is half of 22, which is 11. We can solve from there.

2x-5=11Add 5, 2x=16Divide by 2, x=8

Check your work:

2(8)-5=1116-5=1111=11

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Answers

Answer:

B. false

Step-by-step explanation:

PLEASE HELP!! I'll make brainliest ​

Answers

Sorry people send you links instead of actually helping you

help with this question pleaseee !!

Answers

I can’t see the picture I am sorry

Please help I’m having a hard time :(

Answers

Answer:

i think you're right- you seem to have all numbers squared correctly, also every negative value squared becomes a positive number, which means that your answers are correct.. what is your issue?

Step-by-step explanation:

HELP ASAP, due today.

Answers

Answer:

(A) B h(x)= -2x-5.5

(B) The y intercept is (0,-5.5)

(C) The rate of change is -2

(D) The x intercept is (-2.75,0)

Solve for the values of x and y.

Answers

Answer:

x = 20

y = 7.2

Step-by-step explanation:

12/x = 9/15

9x = 180

x = 20

12/x= y/12

12/20 = y/12

144 = 20y

y = 7.2

y = 20

Help PLEASEE!!!!!!!!!!

Answers

I think it’s the third one. Hope that helps!

Answer:

the answers are B or C x>4/19

Melissa and Matt both started a card collection at the same time. Melissa started her card collection with 100 cards and added 13 cards to her collection each week. Matt started his card collection with 130 cards and added 8 cards to his collection each week. After how many weeks did Melissa and Matt have the same number of cards in their collections?

Answers

Answer:

a few weeks

Step-by-step explanation:

CAN SOMEONE HELP ME!!!!

Thion Drones is a newly established manufacturer of drones for recreational use. The firm produced 180 drones last month and sold these for an average price of $230. Thion Drones had average variable costs of $190 per drone. Its fixed costs per month are $4,500.

a.  Calculate the average fixed cost (AFC) for Thion Drones.

   

b.  Calculate the monthly profit or loss made by Thion Drones.

Answers

what is the probability if you randomly select comedy book replace it and another comedy book?
(if your going to answer pls explain )

The average fixed cost of each case will be $25

What is the average fixed cost ?Fixed cost is the cost that does not change with the number of lawyers hired or the number of cases. Fixed cost remains fixed regardless of the number of lawyers or the number of cases. Examples of fixed cost include rent, electricity.Average fixed cost is the total fixed cost per case. Average fixed cost can be determined by dividing the fixed cost by the number of cases.

Average fixed cost = fixed cost / number of cases.

$4500/ 180= $25

To learn more about average fixed cost refer

https://brainly.com/question/28503168

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Which of the following is one solution to the expression (ax + b)(cx - d) = 0 ?

A. −b

B. d

C. −b/a

D. −d/c

Answers

The answer to your question is C. -b/a

i need to find the area and circumference for each circle

Answers

Answer:

Step-by-step explanation:

5

1.13 UNIT TEST GRAPH OF SINUSOIDAL FUNCTION PART 1
What is the equation of the midline for the function f(x)?

f(x) =1/2 sin(x)+6

Answers

Answer:

The equation of the midline for the function [tex]f(x)[/tex] is [tex]y = 6[/tex].

Step-by-step explanation:

The sinusoidal function of the form [tex]y = A_{o}+A\cdot \sin x[/tex] is a periodic function whose range is bounded between [tex]A_{o}-A[/tex] (minimum) and [tex]A_{o}+A[/tex] (maximum). The equation of the midline is a line paralel to the x-axis, that is:

[tex]y = c,\forall\, c\in \mathbb{R}[/tex] (1)

Where [tex]c[/tex] is mean of the upper and lower bounds of the sinusoidal function, that is:

[tex]c = \frac{(A_{o}+A+A_{o}-A)}{2}[/tex]

[tex]c = A_{o}[/tex] (2)

If we know that [tex]y = \frac{1}{2}\cdot \sin x + 6[/tex], then the equation of the midline for the function [tex]y[/tex] is:

[tex]c = A_{0} = 6[/tex]

[tex]y = 6[/tex]

The equation of the midline for the function [tex]f(x)[/tex] is [tex]y = 6[/tex].

Emily asked the players on her volleyball team their height in inches and listed the results below. What is the mean of the data set? Round to the nearest tenth when necessary

Answers

Answer:the range is 10 pls gimme brainless plsss I need it

Step-by-step explanation:

Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered with an actual answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(

The measures of two angles in ABC are 56 and 72.

What is the measure of A?

A. 32

B. 42

C. 52

D. 62

Answers

It will be 52 as you know when looking at a triangle with 3 angles they must all add up to 180 so you simply do 56+72 then subtract 180 from it and you get 52.

cos80°.cos10°-sin80°.sin10°​

Answers

Step-by-step explanation:

The answer will be zero

here are the steps:

cos(90-10)xcos(90-80)-sin(90-10)xsin(90-10)=

(cos10xcos10)-(sin80xsin80)=

0.965111-0.965111=0

have a good day :)

I hope it will benefit you.

determine the slope given the two points. (-19,4) (17,11) PLEASE SHOW WORK

Answers

Answer:

m=7/36

Step-by-step explanation:

we need two points in order to find the ratio of the change in y and change in x, which is the slope

m=(y-y1)/(x-x1) (you can choose any point as y1 but be careful that you use the corresponding x1 value in the denominator)

m=(11-4)/(17-(-19))

m=7/36

What is 2x+5g+7y+1.52x+32.6+5.1g+11.1+9y simplified?

Answers

3.52x+10.1g+16y+32.6

Answer:

10.1g+3.52x+16y+43.7

Step-by-step explanation:

Determine the value of A

Answers

Answer:

A = 161°

Step-by-step explanation:

125° + 36° = 161°

hope this helps

I WILL GIVE YOU BRAINLYEST!! PLSS HELP ME ASAP!!

The dot plot below represents how long it takes students in an 8th grade math class
to get to school every morning.


Minutes
How many students are in the class?

Answers

Answer:

18

Step-by-step explanation:

It is 18. Just simply count the dots and sum them all up together, and you get 18. Unless there is a specific thing needed.

18 Students !! :)))))

can someone please help me pls

Answers

Answer:

The answer is 21 units²

Step-by-step explanation:

To find the area of a right triangle you use the formula A=ab/2

So

A=6×7/2 = 21

PLEASE ASAP Suppose a normal distribution has a mean of 26 and a standard deviation of
4. What is the probability that a data value is between 28 and 31? Round your
answer to the nearest tenth of a percent.
A. 21.3%
B. 19.3%
C. 20.3%
D. 22.3%

Answers

Answer:

20.3%

Step-by-step explanation:

Hope that helps :)

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So, Please heed my warning. and I will tell you a story, anout a fairy whom was betrayed, a fairy who lost her way, a fairy whos tears stained the world.Chapter oneHer feet skim the forest floor, her hands brush the trees, her eyes close and her lips sing. slowly she rises, her feet no longer on the ground. Her hands drop to her side but her fingers splay out and dance to her song. She twirls with grace and rises, higher, higher, higher. And following her, little bodies of light, singing a song, only they remember. They swirl around the girl and kiss her cheeks, she smiles and slows to a stop, just hovering there, above the treetops. The fairies whisper in her ears and giggle holding out their little hands, expectant. The girl laughs, a beautiful, hypnotic sound. "Shh, my little friends, here you are. Quiet now. share, would you?" She hands them crumbs of cake, velvet and chocalate and all the flavors of the wonderful substance. The fairies smile and their tinkiling filles her ears. 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