is f(x)=5x^2+6x^3 a polynomial function​

Answers

Answer 1
Polynomials are expressions whose exponents are non-negative integers and the coefficients are real numbers. The leading term is the term with the highest power. The coefficient of the leading term is the leading coefficient. The power of x in the leading term is called the degree of the polynomial! Here are some examples of polynomials:
Degree Name Example
0 constant 11
1 linear 4x + 7
2 quadratic 3x2 + 4x + 5
3 cubic 4x3 + 3x + 7
4 quartic 3x4 + 2x2 + 4
5 quintic x5 + 3x + 1
Any value of x such that P(x) = 0 is a root of the equation and a zero of the function.
Review of synthetic substitution
To use synthetic substitution, do the following:
1) Write the polynomial in descending order.
2) Make sure any missing terms are replaced with zero!
3) Bring down the leading coefficient.
4) Multiply by the divisor and add to the next term.
5) Repeat the process until the last coefficient is reached.

Example
Use synthetic division to find P(2) for P(x) = 2x3 - 9x2 + 27
2| 2 -9 0 27
4 -10 -20
2 -5 -10 7 The value of P(2) = 7, the last number!!
Sample Problems
1) State whether each is a polynomial function. If yes, find the degree and the zeros.
Problem Polynomial? Degree zeros
a) f(x) = 5 - 4x yes 1 5/4
b) f(x) = 3x2 - 6x yes 2 0, 2
c) f(x) = x - 3/x no
d) f(x) = 18 yes 0 none
e) f(x) = (x-3)/(x+2) no
2) Use synthetic substitution to find P(3) for each function:
a) P(x) = 4x3 - 5x2 + 3
3| 4 -5 0 3
12 21 63
4 7 21 66
Therefore, P(3) = 66

b) P(x) = 3x4 + 2x3 - 5x - 2

3| 3 2 0 -5 -2
9 33 99 282
3 11 33 94 280
Therefore, P(3) = 280


3) If 4 is a zero of f(x) = 3x3 + kx - 2, find the value of k.
Since 4 is a zero, the value of f(4) = 0. Use synthetic substitution.
4| 3 0 k -2
12 48 192 + 4k
3 12 48 + k 190 + 4k
Now 190 + 4k = 0, solve for k
4k = -190
k = -190/4 = -47.5

Related Questions

Turn 2 1/8 into an improper fraction. Explain your steps

Answers

Answer:

17/8

Step-by-step explanation:

2 1/8    multiply 2 times 8 and 1 which equals to 17/8. The whole number times the denominator plus the numerator basically.

Answer:

17/8

Step-by-step explanation:

8 x 2 = 16

16 + 1 = 17

The following relation is a function: {(-8, – 9), (-4, 5), (1, 5), (4, 7)}

Answers

Answer:

Yes

Step-by-step explanation:

The following relation is a function. When graphed, it passes the vertical line test, and you don't go across any two points at the same time. So therefore, it is a function. Another easy way to determine if the relation is a function is by taking a look at the x-coordinates. If any x-coordinates are the same, then it's not a function. If all x-coordinates are the same, then it's a function.

Hope this helps. Please mark brainliest.

Please Help! :(
Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field. Write and solve an algebraic equation whose solution is the number of players, p, on each team.

Write the Equation and the answer please

Answers

Answer: there is 90 players in total

Step-by-step explanation:

6x 2= 12

78 + 12 = 90

Answer:

x=15

Step-by-step explanation:

6(x−2)=78 (or 6x−12=78), x=15

Plz help 30 points to whoever answers correctly. Write an equation of the parábola in intercept form. X-intercepts of 3 and 6 passes through (9,-9)

Answers

Answer:

k lemmee checkkkkkkkk

Please help ASAP.
Will mark brainliste

Answers

Answer:

i think its c but it could also be d sorry if im wrong T-T

Step-by-step explanation:

On the beach boardwalk there are 20 different places to get food 20% of them are ice cream shops how many ice cream Shoppe’s are in the park

Answers

4 ice cream shops
hope this helps!

Answer:

( 4 )

Step-by-step explanation:

Hope this helps

also go to g-mail to check out my

Type in Brandon Acevedo

okay

Please help I would appreciate

Answers

Answer:

the 1st 2nd and 5th since if there is even one negative in the fraction it makes the whole fraction negative

Four college friends (one is named Cathy) were all accepted to a graduate school.

Answers

Answer:

Wow that is great

Step-by-step explanation:

is there a question? uhhhmmmmm

HELP WITH NUMBER 6 ASAP PLEASE!!!!!!!

Answers

move point (-5,0) to (-4.0) and move point (7,1) to (8,1) so that the points pass the vertical line test. note that this points can be moved to others places too, these are just a few examples

Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with the solution for others to check their work. For example, you may want to know if the average weight of a rippled potato chip is the same as the average weight of a non-rippled potato chip. You may weigh rippled regular potato chips fro m a large bag and find weights of 1.7,1.9,2.4,1.3, 1.7, and 2.0 grams. You may weigh non-rippled potato chips from another larg bag and find weights of 1.8, 1.6,1.9, 1.9, and 1.4 grams. Assume a random sample was drawn. Think of a problem that you may be interested in that deals with a comparison of two population proportions. Propose either a confidence interval or a hypothesis test question that compares these two proportions. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with your own solution. For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians. For your response to a classmate (two responses required, one in each option), solve your classmate's confidence interval or hypothesis test problem, using a significance level not previously used Make sure that you use appropriate terminology and specify whether you are using the classical method or the p-value method.

Answers

Answer:

Responds to my friend

Decision rule

 Fail to reject the null hypothesis

Conclusion

There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian  

Step-by-step explanation:

Here we are going to consider this question

For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians.

Here we are going to be solving the hypothesis test problem and we will be making use of the p-value method

From the question the we are told that

     The first sample size is  [tex]n_1 = 380[/tex]

       The second sample size is [tex]n_2 = 205[/tex]

       The number of California residents that are vegetarian is [tex]k = 109[/tex]

       The number of New Hampshire resident that are veterinarian is [tex]u = 39[/tex]

Generally the sample proportion for California residents is

      [tex]\^ p_1 = \frac{k}{n_1}[/tex]

=> [tex]\^ p_1 =\frac{109}{380}[/tex]

=> [tex]\^ p_1 =  0.2868 [/tex]

Generally the sample proportion for New Hampshire residents is

     [tex]\^ p_2 = \frac{39}{205}[/tex]

=>  [tex]\^ p_2 = 0.1902 [/tex]  

The null hypothesis is  [tex]H_o  :  p_1 -p_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  p_1 -p_2 > 0[/tex]

 Generally the test statistics is mathematically represented  as

[tex]t  =  \frac{(\^ p_1 - \^ p_2 ) -0}{\sqrt{ \frac{\^ p_1 (1-\^p_1 )}{n_1}  + \frac{\^ p_2 (1- \^p_2)}{n_2} } }[/tex]

=> [tex]t  =  \frac{( 0.2868 - 0.1902) -0}{\sqrt{ \frac{0.2868 (1-0.2868 )}{380}  + \frac{0.1902(1- 0.1902)}{205} } }[/tex]  

=>  [tex]t  =  0.036[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df  =  n_1 + n_2 -2[/tex]

=>    [tex]df  =  380 + 205 -2[/tex]

=>    [tex]df  =  583/tex]

Generally the probability of  [tex]t  =  0.036[/tex] at a degree of freedom of   [tex]df  =  583/tex]  from the t- distribution table is  

      [tex]p-value  =  P(t >  0.036) =  0.48564732[/tex]

Let take the level of significance to be [tex]\alpha = 0.05[/tex]

So from the values obtained we see that  [tex]p-value  >  \alpha[/tex] hence the decision rule is  

   Fail to reject the null hypothesis

The conclusion is

  There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian

20 points & Brainliest

Why are rotations a rigid motion?

Answers

Answer:

RC,\α is a rigid motion.

Here C, is the rotacenter which is the fixed point and around C all other points move in a fixed distance by the definition of rotation.

the motion follows in a circularmanner with C as the center.

consider a point Q which changes to Q1 after rotation by an angle\alpha

Step-by-step explanation:

When considering rotational motion and subsequently rotational mechanics every point on the body must have same angular velocity and angular acceleration. If the body is not rigid different points on the body will have different angular velocity and angular acceleration.

HELPPPPP!! Is the expression 6 + 3 = 9 an equation ? Explain.

Answers

Answer:

No, because an expression is already solved and an equation is where you have to solve it

Step-by-step explanation:

Answer:

No as said you have to solve and equation yet an expression is already solved for your viewing.

Step-by-step explanation:

Please find the area and circumference of
the circle below

Answers

Answer:

area: 153.86

Circumference: 43.96 :D

Step-by-step explanation:

Three times two less than a number is greater than or equal to five times the number. Find all of the numbers that satisfy the given conditions.
Let n = a number. Choose the inequality that represents the given relationship.

Answers

The inequality I believe is 3(n-2) >5n

P.S Make sure to put a line under the inequality sign to represent greater than or equal to ;)

Answer:

D on edge

3(n – 2) ≥ 5n

Step-by-step explanation:

the next question's answer is  B

Is f^-1(x) = x/9 - 5/9 a function?

Answers

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:

⠀[tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex].

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find out:

⠀Is a function [tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex] or not.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, ZoFlo2020!

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Answer (Response Explanation):

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀No, it is not. Such an example is not even possible to solve, to be honest. It doesn’t have a single solution to find at least an approximate part of its solution and answer.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

Identify the coefficients: -3h - 2h + 6h +9

Answers

Answer:

-23h

Step-by-step explanation:

It’s -3, 2, 6 is the answer

a stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s​

Answers

Answer:

23.7m

Step-by-step explanation:

Given parameters:

       Time taken = 2.2s

     Acceleration due to gravity = 10m/s

Unknown:

Depth of the well  = ?

Solution:

To solve this problem, we simply apply one of the motion equations;

        S = ut + [tex]\frac{1}{2}[/tex] gt²

    where S = depth of the well

                u = initial velocity

                t = time taken

               g = acceleration due to gravity

 Input the parameters and solve for S;

   Note initial velocity = 0;

     S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²

    S = 23.7m

How do you do this question?

Answers

Answer:

Diverges

Step-by-step explanation:

an = 7 / n^(1 + 1/n)

As n approaches infinity, an approaches 7 / n.

bn = 7 / n

Apply Limit Comparison Test.

lim(n→∞) an / bn

= lim(n→∞) [7 / n^(1 + 1/n)] / (7 / n)

= lim(n→∞) n / n^(1 + 1/n)

= lim(n→∞) 1 / n^(1/n)

= lim(n→∞) 1 / n⁰

= 1

The limit is greater than 0, and bn diverges, so an also diverges.

The students can make 6 tickets from each sheet of paper. How many sheets of paper. How many sheets of paper are needed for 125 tickets?

Answers

Answer:

20.8333333

Step-by-step explanation:

6 x 20.8333333 = 125

Use the information to find the minimum sample size required to estimate an unknown population mean µ. Margin of error: $110, confidence level: 95%, σ = $500. Group of answer choices

Answers

Answer:

The minimum sample size required is 79.

Step-by-step explanation:

The following are given in the question:

e = Margin of error = 110

σ = Standard deviation = 500

Confidence level = 95%

n = Minimum sample size = ?

Therefore, we have:

Zσ = 1.96 at 95% confidence level

s.e. = Standard error = σ / [tex]\sqrt{n}[/tex] = 500 /

Alternatively, margin of error can be calculated as follows:

e = s.e. * Zσ = 110 ................... (1)

Substituting the other values into equation (1) and solve for n, we have:

500 / [tex]\sqrt{n}[/tex] * 1.96 = 110

500 / [tex]\sqrt{n}[/tex]  = 110 / 1.96

500 / [tex]\sqrt{n}[/tex]  = 56.1224489795918

500 = 56.1224489795918 *  [tex]\sqrt{n}[/tex]  

[tex]\sqrt{n}[/tex]  = 500 / 56.1224489795918

[tex]\sqrt{n}[/tex]  = 8.90909090909092

[tex]n^{\frac{1}{2}[/tex] = 8.90909090909092

Squaring both sides, we have:

([tex]n^{\frac{1}{2}[/tex])^2 = (8.90909090909092)^2

n = 79.3719008264465

Approximating to a whole number, we have:

n = 79

Therefore, the minimum sample size required is 79.

Six and forty-two ten-thousandths as a decimal

Answers

6.0042 is the answer
6.042 is the answer hope u get this

What is 4/9 - 1/3 =
help

Answers

1/9

Hope this helps! :))

Answer:djjdd

Please I love free points secy

Step-by-step explanation:

Ok but guys is 10009

Add parentheses to make 6-9-2+3x6 equal to 17

Answers

Answer:

6-(9-2)+3x6

Step-by-step explanation:

hope it helps

4cm
2cm
6cm
Find the area please

Answers

Step-by-step explanation:

ummm where is the pic? like bruh

Answer:

48 cm

Step-by-step explanation:

Multiply 4x2x6 and get the answer of 48 cm.

Is 8.25 greater, equal or less than 8.250

Answers

Answer:

If this is basic mathematics its =

Step-by-step explanation:

You won't have to worry about sig figs until chemistry.

Compute the mean, median, and mode for the following three sets of scores saved.

Score 1 Score 2 Score 3

3 34 154
7 54 167
5 17 132
4 26 145
5 34 154
6 25 145
7 14 113
8 24 156
6 25 154
5 23 123

Answers

Answer/Step-by-step explanation:

Score 1:

3, 7, 5, 4, 5, 6, 7, 8, 6, 5

Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]

Median: order the data from least to the greatest.

3, 4, 5, 5, 5, 6, 6, 7, 7, 8

The median is average of the fifth and sixth data value in the data set

Median = (5 + 6)/2 = 11/2 = 5.5

Mode = value with the highest frequency = 5

Score 2:

34, 54, 17, 26, 34, 25, 14, 24, 25, 23

Mean = sum of all values/10

Mean = 276/10 = 27.6

Median: order the data set from min to max.

14, 17, 23, 24, 25, 25, 26, 34, 34, 54

The median is average of the fifth and sixth data value in the data set

Median = (25 + 25)/2 = 50/2 = 25

Mode = 25 and 34 (both have frequencies of 2)

Score 3:

154, 167, 132, 145, 154, 145, 113, 156, 154, 123

Mean = sum of all values/10

Mean = 1443/10 = 144.3

Median: order the data set from min to max.

113, 123, 132, 145, 145, 154, 154, 154, 156, 167

The median is average of the fifth and sixth data value in the data set

Median = (145 + 154)/2 = 299/2 = 149.5

Mode = 154

I toss a coin 60 times. It lands on tails 24 times. What percent of the time does it land on tails?

Answers

40% is my answer, hope it helps

The Law of Large Numbers states that as an experiment is repeated, the relative frequency of an event tends toward the real probability.
a. if the probability of a specific observed event is very small, it is unlikely that the assumption about the probability is correct.
b. the probability of obtaining a favorable outcome increases as the number of trials increases.
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large.
d. the probability that an event will occur is derived from one's increasing knowledge of relevant circumstances.

Answers

Answer:

c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large

Step-by-step explanation:

The law of large numbers is a statistical law, that states : As sample size grows, the sample mean tends to go closer to whole population mean.

So, the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large

a bottle of hand lotion is on sale for $2.25. if this price represents a 50% discount from the original price, what is the original price to the nearest cent?

Answers

Answer:

4.50

Step-by-step explanation:

2.25 plus 2.25 aka half

When is it appropriate to model data with a liner function? Give an example of real world data that can be modeled with a linear function. Include the linear function and a sample of the data

Answers

Answer:

The linear function would be:

C = 10t + 2

where C is the cost and t is time in months

Step-by-step explanation:

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