What are the zeros of f(x)=4x^3-13x^2-37x+10

Answers

Answer 1
In this question there are 3 points of intersection on the x-axis. Of which are: (5,0), (1/4,0), and (-2,0). Hope this is right! 

Related Questions

What are the orders of 3,7,9,11,13,17 and 19(mod20)?does 20 have primitive roots?

Answers

[tex]3\equiv3\mod{20}[/tex]
[tex]3^2\equiv9\mod{20}[/tex]
[tex]3^3\equiv27\equiv7\mod{20}[/tex]
[tex]3^4\equiv3\cdot3^3\equiv3\cdot7\equiv21\equiv1\mod{20}[/tex]

[tex]7\equiv7\mod{20}[/tex]
[tex]7^2\equiv49\equiv9\mod{20}[/tex]
[tex]7^3\equiv7\cdot7^2\equiv63\equiv3\mod{20}[/tex]
[tex]7^4\equiv7\cdot7^3\equiv21\equiv1\mod{20}[/tex]

[tex]9\equiv9\mod{20}[/tex]
[tex]9^2\equiv3^4\equiv1\mod{20}[/tex]

[tex]11\equiv11\mod{20}[/tex]
[tex]11^2\equiv121\equiv1\mod{20}[/tex]

[tex]13\equiv-7\equiv13\mod{20}[/tex]
[tex]13^2\equiv169\equiv9\mod{20}[/tex]
[tex]13^3\equiv13\cdot13^2\equiv(-7)9\equiv-63\equiv-3\mod{20}[/tex]
[tex]13^4\equiv13\cdot13^3\equiv(-7)(-3)\equiv21\equiv1\mod{20}[/tex]

[tex]17\equiv-3\equiv17\mod{20}[/tex]
[tex]17^2\equiv(-3)^2\equiv9\mod{20}[/tex]
[tex]17^3\equiv(-3)^3\equiv-27\equiv3\mod{20}[/tex]
[tex]17^4\equiv(-3)^4\equiv81\equiv1\mod{20}[/tex]

[tex]19\equiv-1\equiv19\mod{20}[/tex]
[tex]19^2\equiv19(-1)\equiv-19\equiv1\mod{20}[/tex]

Generally speaking, a number [tex]x[/tex] coprime to [tex]n[/tex] will be a primitive root of [tex]n[/tex] if we have [tex]x^n\equiv x\mod{n}[/tex], or [tex]x^{n-1}\equiv1\mod{n}[/tex]. In other words, if [tex]x[/tex] is of order [tex]n-1[/tex] modulo [tex]n[/tex], then [tex]x[/tex] is a primitive root of [tex]n[/tex].

Since none of these numbers has order 19, it follows that 20 does not have any primitive roots.

Question 11(Multiple Choice Worth 5 points) (09.03 MC) A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 55 75 Type B 48 22 Compare P(Male | Type A) with P(Male or Type A).

Answers

The solution would be like this for this specific problem:

 

[tex]\large P(F) \times P(B )= \frac {97} {200} \times \frac {70}{200} = \frac {97 \times 70} {200 \times 200} = 0.16975[/tex]

 

You need to compare the results of: P(female or type B) which is written in correct symbols as:



[tex]\large P (F\cup B) [/tex]

and P(female | given type B) which is written in correct symbols as:

[tex]\large P(FlB)

\large (F\cup B)=0.835 - 0.17 = 0.665

\large P (FlB) = 0.314

\large P (F \cup B) \ \textgreater \ P (F|B)[/tex]



So, the correct answer would be: P (Female or Type B) > P (Female | Type B).

Answer:

The answer is P(Female or Type B) > P(Female | Type B)

Step-by-step explanation:

Just took the test.

Also check if you want the answer for males or females before you choose because they are completely different questions

Which expression is equivalent to the given expression? 100pts giveaway 3x(1.05) 3x + 3x + 3x 1.05x + 1.05x + 1.05x x + 3.15 1.05x + 3

Answers

17.2x+6.15
i am not sure but they may be right

I got, 17.35x+6.15


Btw you know it shows how many points your giving for the question

The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $25 item is $25.75, what is the total cost on a $60 item?

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \textit{cost(c) is directly proportional to price(p)}\qquad c=kp \\\\\\ \textit{we also know that } \begin{cases} p=25\\ c=25.75 \end{cases}\implies 25.75=k25\implies \cfrac{25.75}{25}=k \\\\\\ 1.03=k\qquad thus\qquad \boxed{c=1.03p}\\\\ -------------------------------\\\\ \textit{what's \underline{c} when \underline{p} is 60?}\qquad c=1.03(60)[/tex]
Final answer:

The total cost of a $60 item including a 3% sales tax, which has been derived from a $25 item that costs $25.75 after tax, is $61.80.

Explanation:

The total cost of an item including sales tax is directly proportional to its price.

This means that the sales tax is a constant ratio to its price.

For a $25 item, the total cost (including sales tax) is $25.75. Therefore, the sales tax is $0.75. The tax rate is consequently $0.75/$25 = 0.03 or 3%. Now, if you want to find the total cost of a $60 item, you will apply this tax rate to the price.

Thus, the total cost including tax would be $60 + (3% of $60), or $60 + $1.80 = $61.80.

Learn more about Proportional Sales Tax Calculation here:

https://brainly.com/question/16200743

#SPJ3

Ava wants to wash one load of laundry at a local laundromat. At laundromat A, it costs $6.35 to wash and $1.25 to dry one load of laundry. At laundromat B, it costs $5.95 to wash and $0.85 to dry one load of laundry. Which laundromat has the better price for doing one load of laundry, and by how much?

Answers

Laundromat A = 6.35 +1.25 = 7.60 for one load

Laundromat B = 5.95 +0.85 = 6.80 for one load

7.60-6.80 = 0.80

 Laundromat B is has the better price by 0.80 cents

One survey estimates that, on average, the retail value of a mid-sized car decreases by 8% annually. If the retail value of a car is V dollars today, which expression represents the car’s value 1 year later?

A. 0.08V
B. 0.92V
C. 1.08V
D. V-0.08

Answers

[tex]\bf \qquad \textit{Amount for Exponential Decay}\\\\ A=I(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &V\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ t=\textit{elapsed time}\to &1\\ \end{cases} \\\\\\ A=V(1-0.08)^1\implies A=V(0.92)\implies A=0.92V[/tex]

Answer:

b

i ggot it right on test

What is 35 divided by 768 plz I am really stuck on this one and need some improvement

Answers

35/ 768 = 0.04557

rounded up will be 0.05

hope this helps

Joe Popoff, a collection agent, collected 90% of a debt of $5,600.00 that had been overdue 90 days. This collection rate was 5% more than the average collection rate for that agenr. The agent charged 25% commission. What are the net proceeds?

Answers

You are given the debt collected by Joe Popoff with a 90% of a debt of $5,600.00 that had been overdue 90 days. This collection rate was 5% more than the average collection rate for that agent. The agent charged 25% commission. You are asked to find the net proceeds. 

Amount collected
= $5,600 * 0.90
= $5,040

Commision
= $5,040 * 0.25
= $1,260

Net Proceeds
= $5,040 - $1,260
= $3,780 

can someone explain to me multi step algebra equations? 15 points Thaaaanks~

Answers

so take 4x-2x=4                                                                                                        first combine like terms so now u have 2x=4.          now you will isolate the x to find what it equals. divide 2 from both sides so u have x=2.                                      did this help any?  

Final answer:

Multi-step algebra equations involve operations like addition, subtraction, multiplication, or division to solve for an unknown. These equations require simplifying terms, solving for unknowns, and checking the answers. Money examples and practice statements are useful for understanding these concepts.

Explanation:

Multi-step algebra equations are problems that require more than one operation, such as addition, subtraction, multiplication, or division, to solve for the unknown variable. The following steps are typically involved in solving these equations:

Eliminate terms wherever possible to simplify the algebra. This might involve combining like terms or canceling out terms on both sides of the equation.Solve the simultaneous equations for the unknowns. This can be done through methods such as substitution or elimination when dealing with more than one equation.Check the answer to ensure it fits the original equation. Substituting the solution back into the original equation can verify its correctness.

An example of this process could be the following scenario: You are given two equations in a word problem involving motion, one equation for velocity and another for time. To find the distance traveled, you would identify the known variables and the unknown variable (in this case, distance), simplify both equations as much as possible, and then combine them to solve for distance.

Money examples are often used for educational purposes because they provide a familiar context for understanding mathematical principles, making them easier to grasp. Additionally, practicing with state-ments, such as covering up a number to solve for it with the remaining information, can help build problem-solving skills.

please help me!!!
The scale for the map of Missouri is 1 in = 30 mi. On the map, the distance from Springfield to Columbus is about 5.6 in. How far apart are the two cities? Round your answer to the nearest mile.

Answers

if 1 inch = 30 miles

 thn multiply 30 x 5.6

30 x 5.6 = 168 miles apart

The actual distance between Springfield and Columbia is 168 miles.

Therefore, the correct answer is:

b. 168 mi

To find the actual distance between Springfield and Columbia, we can use the scale provided in the map.

Given that 1 inch on the map represents 30 miles in real life, and the distance on the map from Springfield to Columbia is 5.6 inches, we can use the following calculation to find the actual distance:

[tex]\[ \text{Actual distance} = \text{Map distance} \times \text{Scale factor} \][/tex]

[tex]\[ \text{Actual distance} = 5.6 \, \text{inches} \times 30 \, \text{miles/inch} \][/tex]

[tex]\[ \text{Actual distance} = 168 \, \text{miles} \][/tex]

So, the actual distance between Springfield and Columbia is 168 miles.

Therefore, the correct answer is:

b. 168 mi

The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a mean of 44 and a standard deviation of 18. If there are 500 pages in the book, which sentence most closely summarizes the data?

Answers

The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a mean of 44 and a standard deviation of 18. If there are 500 pages in the book, which sentence most closely summarizes the data?

A. The letter t occurs less than 26 times on approximately 170 of these pages. 

B. The letter t occurs less than 26 times on approximately 15 of these pages. 

C. The letter t occurs more than 26 times on approximately 420 of these pages. 

D. The letter t occurs more than 26 times on approximately 80 of these pages.

.Answer: 
mean = 44 
sd = 18 
that means that "26" is 1 s.d. down, or at the 16th %ile 


so, there is a .16 chance that "t" will occur less than 26 times on any single page. 
consequently, there is a .84 chance that it will occur more than 26 times on any single page. 

Using that information, and knowing that 16% of 500 is 80, and 84% of 500 is 420, can you see where "C" is correct? 
Final answer:

The data represents a normal distribution where approximately 68 percent of the pages will have a number of occurrences of the letter t within one standard deviation of the mean, 95 percent within two standard deviations, and more than 99 percent within three standard deviations.

Explanation:

The sentence that most closely summarizes the data is: For data having a distribution that is bell-shaped and symmetric, the following are true:

Approximately 68 percent of the data is within one standard deviation of the mean.Approximately 95 percent of the data is within two standard deviations of the mean.More than 99 percent of the data is within three standard deviations of the mean. This is known as the Empirical Rule.

Using this information, we can conclude that approximately 68 percent of the pages in the book will have a number of occurrences of the letter t within one standard deviation of the mean, which is 44. Approximately 95 percent of the pages will have a number of occurrences within two standard deviations, and more than 99 percent will have a number of occurrences within three standard deviations.

Learn more about Normal Distribution here:

https://brainly.com/question/30390016

#SPJ13

Elixir of acetaminophen contains 160 my per 5 milliliters. How much acetaminophen is needed to prepare 2 ounces of elixir?

Answers

60 milliliters is equal to two ounces.

Find all values of c such that f is continuous on (-∞, ∞). $ f(x) = \left\{ \begin{array}{lcl} {\color{red}5} - x^{2}, & & x \le c \\ x, & & x > c \end{array}\right. $

Answers

[tex]f(x)=\begin{cases}5-x^2&\text{for }x\le c\\x&\text{for }x>c\end{cases}[/tex]

will be continuous as long as

[tex]\displaystyle\lim_{x\to c^-}f(x)=\lim_{x\to c^+}f(x)=f(c)[/tex]

We have

[tex]\displaystyle\lim_{x\to c^-}f(x)=\lim_{x\to c}(5-x^2)=5-c^2[/tex]

[tex]\displaystyle\lim_{x\to c^+}f(x)=\lim_{x\to c}x=c[/tex]

so we must satisfy

[tex]5-c^2=c\implies c^2+c-5=0\implies c=\dfrac{-1\pm\sqrt{21}}2[/tex]

The values of c such that the function f is continuous are: c = -2.79 and c = 1.79

The function is given as:

[tex]f(x) = \left\{ \begin{array}{lcl} {5} - x^{2}, & & x \le c \\ x, & & x > c \end{array}\right.[/tex]

For the function to be continuous, then the following must be true

[tex]5 - x^2 = x[/tex]

Substitute c for x

[tex]5 - c^2 = c[/tex]

Express as a quadratic function

[tex]c^2 + c - 5 = 0[/tex]

Using a graphing calculator, the values of c are:

c = -2.79 and c = 1.79

Read more about continuous functions at:

https://brainly.com/question/9412728

The sum of two consecutive even integers is 138. Write an equation and solve

Answers

x+(x+2)=138
2x+2=138
2x=136
x=68
Final answers: 68,70
Final answer:

The two consecutive even integers that sum to 138 are 68 and 70. The equation n + (n + 2) = 138 was used to determine these integers.

Explanation:

The problem is asking for two consecutive even integers whose sum is 138. Let's denote the first integer as n (where n is an even number). As the problem says the numbers are consecutive even integers, we know the next number must be n + 2.

We can form an equation based on the information given. The sum of these two integers is equal to 138, so:

n + (n + 2) = 138

If we simplify the equation, it becomes:

2n + 2 = 138By subtracting 2 from both sides, 2n = 136We then divide both sides by 2 to get n = 68

Therefore, the two consecutive numbers are 68 and 70 as they add up to 138.

Learn more about Consecutive even integers here:

https://brainly.com/question/34290341

#SPJ11

The primary goal of using correlational research is to

Answers

The Primary goal of using correlation research is to determine the nature and strength of the association between two measured variables.
Here you must know the terms correlation and variable. The term Correlation is simply defined as the relation between two variables. variables are factors that are liable to vary or change.
Final answer:

Correlational research is used to determine whether there's a relationship between two or more variables without establishing a cause-and-effect connection. It identifies how closely connected variables are by observing them as they naturally occur.

Explanation:

The primary goal of using correlational research is to determine whether a relationship exists between two or more variables, but without establishing a cause-and-effect connection. In this method, a researcher may observe variables as they naturally occur with no intervention or manipulation. By examining the degree to which these variables move together, the researcher can identify how closely connected they are. For example, in psychological studies, a correlational research might be used to investigate the relationship between study habits and academic performance. However, it's critical to note that correlation does not imply causation.

Learn more about Correlational Research here:

https://brainly.com/question/33448450

#SPJ6

solve x2-8+41=0 for x

Answers

No real solutions or i square root 33

I'm taking x2 is x^2 or x squared

i stands for imaginary number
[tex]Problem: x^2-8+41= 0 \\ x^2+ 33 = ? \\ = 0 - 33 = (-33) \\ The Value Of 'x' is -33 \\ x= \sqrt{-33} [/tex] [tex]There \\ are \\ NO \\ Solution \\ in \\ this \\ equation! [/tex] [tex]Good Luck! [/tex]

jack is mowing a lawn that has a shed. needs to know area of lawn to mow. dimensions of yard are 5x by 13 x-4 . she'd are 2x by 2x+4. " find polynomial that describes area of lawn needed to mow. Polynomial in answer should have two terms.
please help.

Answers

The diagram of the lawn and the shed is shown below.

The area of the lawn needed to be mowed equals to the area of the yard minus the area of the shed

The area of the yard = [tex](5x)(13x-4) = 65 x^{2} -20x[/tex]
The area of the shed = [tex](2x)(2x+4)=4 x^{2} +8x[/tex]

The area of the lawn = [tex]65 x^{2} -20x-(4 x^{2} +8x)[/tex]
The area of the lawn = [tex]65 x^{2} -20x-4 x^{2} -8x[/tex]
The area of the lawn = [tex]61 x^{2} -28x[/tex] 

is 70 thousand written in standard form or word form

Answers

70 thousand is written in word flrm
Standard form is using numbers for example 1,000 word form use words for example one thousand so since you already said the standard form the word form is seventy thousand and its a word form hope that helps.

What does the value of the GCF
represent?

Answers

GCF its full form is Greatest Common Factor.
It is found when we have two or more numbers and the largest factor are common in both the numbers.

The table below shows the number of marbles of different colors in a bag: Color of Marbles Number of Marbles Pink 5 Blue 2 Green 3 Ursula draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing green marbles in both the trials? plz help!!!!

Answers

[tex] \frac{3}{10} [/tex] x [tex] \frac{2}{9} [/tex] = [tex] \frac{1}{15} [/tex]
[tex]|\Omega|=10\cdot9=90\\ |A|=3\cdot2=6\\\\ P(A)=\dfrac{6}{90}=\dfrac{1}{15}\approx6,7\%[/tex]

Simplify the expression by using a double-angle formula. 2 cos^2 4 theta -1

Answers

You are given 2cos² (4θ - 1). You are asked to simplify the expression by using a double-angle formula. 

Apply the double angle of the cosine function
cos2θ = 2cos² θ - 1

Rearranging the expression and then substituting them
2cos² θ = cos2θ + 1
2cos² (4θ - 1) = cos 2(4θ - 1) + 1
cos2(4θ - 1) + 1

Under what circumstance are two non right triangles congruent

Answers

Only if three sides are equal.

How do you change a ratio into a fraction baseballs to basketballs

Answers

[tex]\bf baseballs:basketballs\implies \cfrac{baseballs}{basketballs} \\\\\\ anything:whatever\implies\cfrac{anything}{whatever}[/tex]

if that's what you mean.

if you were to load 225 boxes onto a truck and the boxes are created with each crate containing 9 boxes how many crates would you need to load

Answers

You would need 25 Crates because 225 divided by 9 is 25.
225 / 9 = 25 (Total number of boxes / the number of boxes per crate)

You would need to load 25 crates

In the diagram, PN is the perpendicular bisector of AB and is also the angle bisector of

Answers

The perpendicular bisector is a line segment that is drawn from a vertex of an angle to the midpoint of another line segment creating a right triangle or a 90° angle in the process. Suppose AB is the base segment of the triangle, therefore the perpendicular sector is also the angle bisector of the other angle of the triangle, supposedly angle C. Angle bisector is a line segment that divides the angle into two equal parts. Imagine a line drawn from the top vertex C extended down to the midpoint of line AB. That is the perpendicular and angle bisector.

Perry has an opportunity to put $2291 into an investment with an APR of 7.6%. How long will it take his investment to double?

Answers

2×2291=2291 (1+0.076)^t==> 2=(1+0.076)^t
Solve for t
Log (2)=t×log (1.076)
T=log (2)÷log (1.076)
T=9.46 years round your answer to get 9 years

Ineed help help me please

Answers

The symbol ₁₂P₉ represents the permutations of 9  quantities out of 12.
By definition,
[tex]_{12}P_{9} = \frac{12!}{(12-9)!} = \frac{12!}{3!} [/tex]

From the calculator,
12! = 479,001,600
3! = 6

Therefore
₁₂P₉ = 479001600/6 = 79,833,600

Answer: 79,833,600

Simplifying expressions with exponents

Answers

When dividing two terms with the same base, subtract the exponent in the denominator from the exponent in the numerator: Power of a Power: To raise a power to a power, multiply theexponents. 
[tex]\bf (2x^2y^3)^2(3y)\implies (2x^2y^3)^2(3y^1)\implies (2x^{2\cdot 2}y^{3\cdot 2})(3y^1) \\\\\\ 2x^4y^63y^1\implies 2\cdot 3x^4y^{6+1}\implies 6x^4y^7[/tex]

14.   Simplify (4x^– 4)^– 3.

Answers

[tex](4x^{-4})^{-3}=4^{-3}\cdot x^{12}=\dfrac{x^{12}}{64}[/tex]

The directions for mixing an insect spray say to use 1 1/2 ounces of chemical in each gallon of water. How many ounces of chemical should be mixed with 3 4/5 gallons of​ water? First, estimate the answer to the application problem. Then find the exact answer.

Answers

1 1/2 oz to each gallon.  
Total required for 3 4/5 gal is the product of 1 1/2 and 3 4/5, which is approximately 4*1 1/2 = 6 oz.

Exact answer
1 1/2 * 3 4/5
=3/2 * 19/5
=57/10
=5.7 oz

[tex]\bf \begin{array}{ccllll} chemical&water\ gallons\\ -----&-------\\ 1\frac{1}{2}&1\\\\ x&3\frac{4}{5} \end{array}\implies \cfrac{1\frac{1}{2}}{x}=\cfrac{1}{3\frac{4}{5}} \\\\\\ \cfrac{\frac{1\cdot 2+1}{2}}{x}=\cfrac{\frac{1}{1}}{\frac{3\cdot 5+4}{5}}\implies \cfrac{\frac{3}{2}}{\frac{x}{1}}=\cfrac{\frac{1}{1}}{\frac{19}{5}}\implies \cfrac{3}{2}\cdot \cfrac{1}{x}=\cfrac{1}{1}\cdot \cfrac{5}{19}\implies \cfrac{3}{2x}=\cfrac{5}{19}[/tex]

[tex]\bf 3\cdot 19=2x\cdot 5\implies 57=10x\implies \cfrac{57}{10}=x\implies \boxed{5\frac{7}{10}=x} \\\\\\ \cfrac{5\cdot 10+7}{10}\implies \cfrac{57}{10}[/tex]
Other Questions
Which of the following would come first in a bibliography entry Use a calculator to evaluate 8 cos30 rounded to four decimal places. One eighth of the students in the seventh grade are in the school band there are fourty four students in the school band find the number of students in the seventh grade Solve the following system of equations by substitution. 3x + 2y = -12 x = 2 A.(2, -9) B.(-2, -3) C.(3, 2) D.(2, 3) How did the steam engine improve travel on rivers and canals? Behavior that reveals a persons feelings without words, using facial expressions, body language, and vocal cues, is called In the triangle below, what ratio is cos ? I really suck at math. please help =) What's the primary difference between a scientific theory and a scientific law , is that a law? Find the measure of the central angle with a radius of 18 inches and the area of a sector measuring 40.5 square inches. what is the electromagnetic spectrum? The graph of a linear equation may not be a straight line.A. True B. False What Mood Does The Author evoke In This Paragraph ? Discuss How The Author Creates Mood Using Examples from Marigolds How did the collaboration of Churchill, Roosevelt, and Stalin help end World War II?A.They established a system of trust among their countries' governments.B.They adopted a unified strategy to defeat the Axis powers in Europe.C.They agreed to focus efforts on the Pacific front first, then concentrate on the European front.D.They offered moderate surrender terms to Germany to ensure a quick peace. Solve for x: the quantity of x plus 4 all over 2 = 7. x = 3 x = 5 x = 6 x = 10 Regroup to express the number in a different way , please help What important literary work attempted to show the evils of slavery? There is a state soccer tournament with 128 teams competing for 1st place. Each week, half of the teams get eliminated. How many teams remain after 6 weeks?A.16B.8C.4D.2 A major benefit of the daguerreotype process is that ________. Complete the sentence. _____ is a good way to get through a large amount of information in a short amount of time. BrainstormingConducting informal researchTracking sourcesScanning Steam Workshop Downloader