what will happen to the graph if the x intercept has an even multiplicity​

Answers

Answer 1

Answer:

Graphical Behavior of Polynomials at x-Intercepts. ... The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities.


Related Questions

Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 19 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 21 with a standard deviation of nine. Is the mean age of entering prostitution in Canada lower than the mean age in the United States

Answers

Answer:

Step-by-step explanation:

The null and the alternative hypothesis is:

[tex]H_o: \mu_c \ge \mu_{us}[/tex]

[tex]H_a : \mu_c < \mu_{us}[/tex]

The t- student test statistics can be computed as:

[tex]t = \dfrac{x_c- x_{us}}{\sqrt{\dfrac{\sigma_c^2}{n_c} + \dfrac{\sigma_{us}^2}{n_{us}} }}[/tex]

[tex]t = \dfrac{19- 21}{\sqrt{\dfrac{7^2}{100} + \dfrac{8^2}{130} }}[/tex]

t = -2.017  

degree of freedom = (n₁ - 1) + (n₂ - 1)  

= (100 - 1) + (130 - 1)

= 228

Using the data of t-value and degree of freedom;  

The P-value = -0.224

Decision rule: Do not reject the null hypothesis if the p-value is greater than ∝(0.01)

Conclusion: We reject the null hypothesis since the p-value is less than ∝.

Therefore, there is enough evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United States.

8x – 3y = -21
y = 5x + 7

Answers

8x-3(5x+7)=-21
8x-15x-21=-21
-7x=0
x=0
y=5(0)+7
y=0+7
y=7
(0,7)

Find the missing length indicated. Leave your answer in simplest radical form.

Answers

Answer:

18[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The hypotenuse of the 45-45-90 triangle is [tex]\sqrt{2}(9\sqrt{2} ) = 18[/tex]

The hypotenuse of the 45-45-90 triangle is also the shorter leg of the

30-60-90 triangle

The longer leg = x = shorter leg times [tex]\sqrt{3\\}[/tex] = 18[tex]\sqrt{3\\}[/tex]

Select the words that are spelled correctly.

angal

chuckle

barral

sandal

woolen

listan

Answers

chuckle, sandal , woolen

PLEASE HELP IMMEDIATELY!!!​

Answers

180in2
A=gbb/2=15x24/2=180

what is the solution to the equation x - 3.9 = 12.4

Answers

Answer:

16.8

Step-by-step explanation:

equation: x - 3.9 = 12.9

add 3.9 to 12.9

answer is 16.8

6y+8x-3x
I need help this is for homework

Answers

Answer:

6y + 5x

Step-by-step explanation:

6y + 8x - 3x

Combine like terms (put all the "x"'s with the"x"'s and "y"'s with the "y"'s together)

8x - 3x = 5x

6y + 5x

And you cannot simplify it anymore, since they are not like terms

Hope this helped!

Have a supercalifragilisticexpialidocious day!

5x6y just simplify it

People drive, on average, 14,063 miles per year. About how many miles each week is that?

Answers

Answer:

About 270.44 miles

Step-by-step explanation:

There is about 52 weeks in a year. 14,063 divided by 52 is 270.44\

DONT TRUST ME ON  THIS

Answer:

270 miles a week

Step-by-step explanation:

there are 52 weeks in a year

so you divide 15,063 by 52

that would equal 270

Several shots were fired during a concert downtown. The performing musician received minor injuries, and no one else was injured. The musician is now suing the city for not providing proper security for the event. The musician has had financial trouble after leaving a successful boyband, and there are rumors that the musician organized the shooting so he could collect money from the lawsuit. A tree near the stage was found with several bullet holes, and it was determined the shots could not have come from the crowd. The musician owns the penthouse in the apartment building in front of the concert venue, so forensic analysts want to determine if the shots could have come from there. The penthouse is on the sixth floor, which is 85 feet from the ground . The building is 60 feet from the tree. Using the measurements from the crime scene, show your math to determine if the shooter came from the penthouse.

Answers

Answer:

The answer is 365.76 m/s

Step-by-step explanation:

Question 8 Samples of rejuvenated mitochondria are mutated (defective) in 2% of cases. Suppose 17 samples are studied, and they can be considered to be independent for mutation. Determine the following probabilities. (a) No samples are mutated. (b) At most one sample is mutated. (c) More than half the samples are mutated. Round your answers to two decimal places (e.g. 98.76). (a) The probability is (b) The probability is (c) The probability is

Answers

Answer:

Step-by-step explanation:

Identify the key features of these functions:

f(x) = 3(x + 5)2 − 10

g(x) = 200(0.95)x

h(x) = -0.25(x + 3)(x − 1)

The vertex of f(x) is at
. The function g(x) is decreasing at a rate of
%. The zeros of h(x) are at
and
.

Answers

Answer:

The vertex of f(x) is at (-5,-10).

The function g(x) is decreasing at a rate of 5%.

The zeros of h(x) are at x = -3 and x = 1.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]

Decaying exponential function:

A decaying exponential function has the following format:

[tex]A(x) = A(0)(1-r)^{x}[/tex]

In which A(0) is the initial quantity and r is the decay rate.

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Vertex of f:

The function f is given by:

[tex]3(x+5)^2 - 10[/tex]

Expanding the calculations to place at the correct format:

[tex]3(x+5)^2 - 10 = 3(x^2 + 10x + 25) - 10 = 3x^2 + 30x + 75 - 10 = 3x^2 + 30x + 65[/tex]

Which means that

[tex]a = 3, b = 30, c = 65[/tex]

The x-value of the vertex is:

[tex]x_{v} = -\frac{30}{2*3} = -5[/tex]

The y-value of the vertex is:

[tex]f(-5) = 3(-5+5)^2 - 10 = -10[/tex]

The vertex of f(x) is at (-5,-10).

Decreasing rate of g(x).

We have that:

1 - r = 0.95

So

r = 1 - 0.95 = 0.05

Which means that the decreasing rate is of 5%.

The zeros of h(x) are

The zeros are

x + 3 = 0 -> x = -3

x - 1 = 0 -> x = 1

So

The zeros of h(x) are at x = -3 and x = 1.

A chain of sports shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a beginning skier spends on her initial purchase and supplies. Based on these figures, to explore the possibility of offering combinations, such as a pair ofboots pair skis, induce customers to buy more. As of cash register receipts revealed these initial purchases:$85 $139 $161 $175 $85 $133 $149 $145 $136 131 290235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139(a) Find the smallest class interval, use five classes.(b) What would be a better class interval?

Answers

Answer:

47.4 ;

50

Step-by-step explanation:

Given the data :

X ($) : 85 139 161 175 85 133 149 145 136 131 290 235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139

The smallest class interval :

Range / number of classes

Number of classes to use = 5

Range = Maximum - Minimum = (322 - 85) =237

Hence, smallest class interval :

237 / 5 = 47.4

A better class interval would be, one without decimal, rounded to the nearest 10; this will be easier and make more statistical sense

Hence, smallest class interval rounded to the nearest 10 :

47.4 = 50 (nearest 10)

GIVING BRAINLIEST TOO BEST ANSWERED
Solve for p.

−4.5 + p/6 = −18.9

A
p=−117.9

B
p = −108.9

C
p = −86.4

D
p = 140.4

Answers

Answer:

c p = -86.4

aww man I got to explain too I used this app called math - way they will explain it

Find the missing side of the triangle, leave answer in simplest radical form.

Answers

Answer:

x =  [tex]\sqrt{15^{2}-13^{2}[/tex]

Step-by-step explanation:

A (3,2) y b (2,-1) pasa por los puntos

Answers

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

Answer:

In the images is the graph of the line that passes through points A (3,2) and B (2, -1)

Also the equation of the line is y = 3x-7

Use two different applications Geogebra and Desmos

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

Respuesta

En las imágenes está la gráfica de la recta que pasa por los puntos A(3,2) y B(2,-1)

Además, la ecuación de esa recta es y=3x-7

Use dos aplicaciones distintas Geogebra y Desmos

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

Triangle RST has vertices R(-3,2), S(0,-5),and T(4,5).When translated R’ has coordinates (4, 1). Find the coordinates of S’ and T’.

Answers

C bc I just did dis text

These are the new questions, there are 2 here. 2 images, 2 different questions

Answers

Answer:

1) 12.62) 18

Step-by-step explanation:

Use ratios and solve for x

Q1

27/24 = (3x - 21)/(x + 13)9/8 = 3(x - 3)/(x + 13)3/8 = (x - 3)/(x + 13)8(x - 3) = 3(x + 13)8x - 24 = 3x + 398x - 3x = 39 + 245x = 63x = 63/5x = 12.6

Q2

9/14 = (x + 8)/(3x - 2)9(3x - 2) = 14(x + 8)27x - 18 = 14x + 11227x - 14x = 112 + 1813x = 130x = 10EF = x + 8 = 10 + 8 = 18


Sally collects stamps. Of all her stamps,
45% are from the United States. She has
90 stamps from the United States. How
many total stamps does she have?

Answers

Answer:

200 stamps

Step-by-step explanation:

Divide the 90 stamps by 45: The result is 2; it's equal to 1% of the total number of stamps. You then multiply it by 100 to get the full amount, which is 200 stamps.

90 stamps are .45 of her collection
90/.45=x/1.00
cross-multiply
.45x=90
x=200 stamps, dividing both sides by 0.45

+.45x+=+90+
+x+=+90%2F.45+
+x+=+200+
She has 200 stamps

So 200 stamps she has

mayra has $2.95 in nickels and dimes. the number of dimes is 3 less than twice the number of nickels. find the number of nickels.

Answers

Answer:

Mayra has 13 nickels

Step-by-step explanation:

Given

Represent dimes with D and nickels with N.

So, from the first statement:

[tex]0.10D + 0.05N = 2.95[/tex]

From the second statement:

[tex]D = 2N - 3[/tex]

Required

Find N

Substitute 2N - 3 for D in [tex]0.10D + 0.05N = 2.95[/tex]

[tex]0.10(2N - 3) + 0.05N = 2.95[/tex]

Open bracket

[tex]0.10*2N - 0.10*3 + 0.05N = 2.95[/tex]

[tex]0.20N - 0.30 + 0.05N = 2.95[/tex]

Collect Like Terms

[tex]0.20N + 0.05N = 2.95+0.30[/tex]

[tex]0.25N = 3.25[/tex]

Make N the subject:

[tex]N = \frac{3.25}{0.25}[/tex]

[tex]N = 13[/tex]

Each but is 21/100 meters long. Write the fraction as a decimal then calculate how long all eight books are all together

Answers

Answer:

1.68 Meters

Step-by-step explanation:

Hello I think I can help with this.

Well basically the way it is represented as a fraction is a portion of a whole like a percent :

For example : 21%

So basically we just need to turn this into a decimal and then add to find how long the books would be together.

How I would go about doing this is first looking at the 21/100 and remember that in decimals 1.00 is a whole just like the 100. So in this case the 100 in 21/100 would be 1.00.

So knowing this, we can take the 21 in 21/100 and say that 0.21/1.00 is equal to 21/100 because the 21 is representing how much of a meter the books are while 100 is the whole meter.

Now, we know we have eight books and each are .21 long. So we can do :

.21 x 8

=

1.68

While this is the answer we can write it in two ways. Either in fraction form like it started or in decimal form which I think is how they want you to write the answer.

For fraction :

168/100 Meters

We can simplify this :

1 68/100 Meters

EDIT :

We can simplify this even more :

Lets divide both sides by 2 :

34/50

AND we can do it again :

So divide by 2 on both sides :

17/25

And don't forget to add the 1 back into it :

1 17/25

And for the decimal form it is just what we found already :

1.68 Meters

I hope this helps!

If you have any questions or concerns feel free to comment or message me. :)

pls help my brainly buddies

Answers

Answer:

≈ 41.2°

Step-by-step explanation:

Given ΔABD with:

AC⊥BDBC = 6 cmBD = 22 cmArea(ABC) = 42 cm²Find ∠D = x

Consider ΔABC

Area = 1/2BC*AC42 = 1/2*6*ACAC = 42/3 = 14

Consider ΔACD

CD = BD - BC = 22 - 6 = 16 cmAC = 14 cmtan x = AC/CDtan x = 14/16 = 0.875x = arctan 0.875x ≈ 41.2°

Answer:

≈ 41.2°

Step-by-step explanation:

The price of a food it should be four times the price of the ingredients used in making the item. If the cost of ingredients used in making a taco is 1.5 dollars, what should be the pricw of the taco?

Answers

answer: $6

4 x $1.5 = $6

Answer:

6 dollars

Step-by-step explanation:

If the price of a food is four times the price of the cost of the ingredients, then if the taco's ingredients cost 1.5 dollars, all we have to do is multiply 1.5 by 4, to get the answer, 6 dollars.

What was Dakota’s height?

Answers

Answer:Um her height is 5′ 4″

Step-by-step explanation:

Dakota height is 5’4 i believe. If not my bad

find the sum of 9/10 and 5/6 write an equation?​

Answers

Answer: 1 11/15

Step-by-step explanation:

9/10 + 5/6

=  

 9 × 3

+--------

 10 × 3

5 × 5

-------

6 × 5

=  

27/30 + 25/30

=  

27 + 25

-----------

   30

=  

52/30

=  

52 ÷ 2

----------

30 ÷ 2

=  

26/15

=  

1 11/15

Answer:

Step-by-step explanation:

9/10 + 5/6 = 16/20

Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation y= 0.3x + 1; A(...;9), B(5;...) The slope is

Answers

Answer:

[tex]A = (\frac{80}{3},9)[/tex]

[tex]B = (5,2.5)[/tex]

The slope is 0.3

Step-by-step explanation:

Given

[tex]y = 0.3x + 1[/tex]

[tex]A = (-,9)[/tex]

[tex]B = (5,-)[/tex]

Required:

Fill in the gap and calculate the slope

In [tex]A = (-,9)[/tex]

[tex]y = 9[/tex] and x is ??

Substitute 9 for y in [tex]y = 0.3x + 1[/tex]

[tex]9 = 0.3x + 1[/tex]

Collect Like Terms

[tex]0.3x = 9 - 1[/tex]

[tex]0.3x = 8[/tex]

[tex]x = \frac{8}{0.3}[/tex]

[tex]x = \frac{80}{3}[/tex]

So:

[tex]A = (-,9)[/tex]

[tex]A = (\frac{80}{3},9)[/tex]

In [tex]B = (5,-)[/tex]

[tex]x = 5[/tex] and y is ??

Substitute 5 for x in [tex]y = 0.3x + 1[/tex]

[tex]y = 0.3 * 5 + 1[/tex]

[tex]y = 1.5 + 1[/tex]

[tex]y = 2.5[/tex]

So:

[tex]B = (5,-)[/tex]

[tex]B = (5,2.5)[/tex]

Calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{2.5-9}{5 - \frac{80}{3}}[/tex]

[tex]m = \frac{-6.5}{\frac{15- 80}{3}}[/tex]

[tex]m = \frac{-6.5}{\frac{-65}{3}}[/tex]

[tex]m = \frac{-6.5*3}{-65}[/tex]

[tex]m = \frac{-19.5}{-65}[/tex]

[tex]m = 0.3[/tex]

Suppose that 3\%3%3, percent of over 200{,}000200,000200, comma, 000 books borrowed from a library in a year are downloaded. The librarians plan to take an SRS of 757575 books from the population of borrowed books to see what proportion of books sampled are downloaded. What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books

Answers

Answer:

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

3% of books borrowed from a library in a year are downloaded.

This means that [tex]p = 0.03[/tex]

SRS of 75 books.

This means that [tex]n = 75[/tex]

What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books

By the Central Limit Theorem

Mean: [tex]\mu = p = 0.03[/tex]

Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.03*0.97}{75}} = 0.0197[/tex]

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.

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Answer: base times height divided by two

Which statements for 63.372 are true? Check all that are true. The digit 2 is in the thousandths place. The digit 7 is in the hundredths place. The digit 7 is in the thousandths place. The digit 3 is in the tenths place. The digit 2 is in the tenths place. please help with this question

Answers

Answer:

sorry

Step-by-step explanation:

sana i review mo beh ng maayos..hehe wag puro tanong cge keep safe..

An employee at a shoe store has observed that taller customers have larger shoe sizes than customers who are shorter. She knows that shoe sizes are based on foot length, so she hypothesizes: Compared with shorter people, taller people have longer feet. Look for patterns in the data. Describe any patterns you find.

Answers

Answer:

hello some information related to your question is missing

answer : The pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

Step-by-step explanation:

From the data given the pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

Need help with math points and brainlest

Answers

Answer:

22.5 cm

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

13.5 / 9 = x / 15

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