Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7?

Answers

Answer 1

Answer:

no

Step-by-step explanation:

here, f (x)=x^3 - 4x^2 + 3x + 7

when, factor is (x + 5)

x - a =x + 5

a = -5

Reminder= f (a)

= (-5)^3 - 4 (-5)^2 + 3×(-5) + 7

= -233

Since Reminder = -233 which is not 0 .

(x + 5) is not a factor of f (x)=x3-4x2+3x+7


Related Questions

Two news papers are comparing sales from last year. Which expression describes the number of newspapers the tribune sold

•The post sold 34,859 copies
•The tribune sold one and a half times as many copies as the post.

A. 34,859 x 1/2
B. 34,859 divided by 1/2
C. 34,859 x 1 1/2
D. 34,859 divided by 1 1/2

Answers

It would be C. 34,859 x 1 1/2

Answer:

C. 34,859*1 1/2

hope ThIs hElPz                      : \

The letters in the word SANTA CLAUS are printed on identical index cards with one letter per card. The ten cards are then placed in a hat, and one card is randomly chosen (without looking) from the hat. The chance process we are interested in is what letter is on the selected card.

Answers

The missing part:

Make a model of probability showing the set of outcome and the probability value of each outcome.

Answer:

Step-by-step explanation:

From the given information:

a) From the word SANTA CLAUS, outcomes are all distinct letters.

This implies that the outcomes are S, A, N, T, C, L, U, S

For  S, N, T, C, L, U, S letters, each of them is repeated once.

Thus, their respective probability = [tex]\dfrac{1}{10}[/tex]

A is repeated thrice, so probability for A = [tex]\dfrac{3}{10 }[/tex]

Using the probability distribution table; we have the following.

outcome      S        A        N        T        C        L        U        S

probability   [tex]\dfrac{1}{10}[/tex]      [tex]\dfrac{3}{10 }[/tex]        [tex]\dfrac{1}{10}[/tex]      [tex]\dfrac{1}{10}[/tex]       [tex]\dfrac{1}{10}[/tex]      [tex]\dfrac{1}{10}[/tex]       [tex]\dfrac{1}{10}[/tex]       [tex]\dfrac{1}{10}[/tex]

Pleaseeeee help!!!!! with also the steps.. Question: Find the solution for a system of equations by elimination
3x – 6y = 12
5x - 2y = 10

Answers

First one x=4+2y. x=2+2y over 5

Answer:

hope this helps......

Answers

Answer:

ig this is free pionts, sry whats the question???

Step-by-step explanation:

``````````````````````````````````````

Answers

Answer:

Step-by-step explanation:

OwO

thx for the points I guess

Which of the following are solutions to the equation below?
Check all that apply.
3x2 + 27% + 60 = 0
O A. 4
O B. -27
O C. -5
O D.-4
O E. 5
What is it?

Answers

Answer:

its B. -27

Step-by-step explanation:

A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent​

Answers

Answer:

33.33%

Step-by-step explanation:

We need to calculate the unit selling price and cost of each cosmetics.

If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;

x = 1 cosmetic

since 360 = 12 cosmetic

cross multiply

12x = 360

x = 360/12

x = 30

Hence the unit cost price of the cosmetics will be Rs. 30

Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)

Selling price per unit = Rs. 40

Cost price per unit = Rs. 30

percent gain = SP-CP/CP * 100%

percent gain = 40-30/30 * 100

percent gain = 10/30 * 100

percent gain = 100/3

percent gain = 33.33%

Hence the percentage gain is 33.33%

What is the solution to the inequality -6+12p+31 > 71

Answers

Step-by-step explanation:

-6 + 12p + 31 > 71

12p + 25 > 71

12p > 46

p > 23/6.

Answer:

Step-by-step explanation:

12p>71+6-31

12p>46

p>23/6


find the inverse with respect to addition of 9​

Answers

Answer:  -9

Work Shown:

Let x be the additive inverse of 9

This means it adds to 9 to get 0

x+9 = 0 which solves to x = -9 after subtracting 9 from both sides.

So -9+9 = 0 and 9+(-9) = 0.

Answer:

-9.

Step-by-step explanation:

Because  9 + (-9) = 0.

You and your best friend have decided to go out Friday night to spend the money you received from having a great report card. The amount of money each received is $25. You are deciding if you would like to go bowling at Splitsville or go to a movie at Paragon Village.

Question : Write an equation to determine the number of friends who can come to the movie (Paragon Village) with both of you if you and your best friend put your money together and only buy one large combo.

Paragon Village: Tickets are $5 per person and a large combo (Large Popcorn and Large Drink) is S7 together.

Splitsville: Games are $6.00 per person and shoe reantal is $2.

I need help, please try you're best and show you're work(if you want). I need a eqation. Hope you the best of luck.

Answers

Answer:

Step-by-step explanation: X=-4y+4

what are ratios? and how do you multiply them? someone help please

Answers

Answer:

ratio is a comparison of two or more numbers that indicates their sizes in relation to each other

Step-by-step explanation: how to multiply

please help???
really need help I will mark brainliest ​

Answers

Answer:

x= 88

Step-by-step explanation: you do (88-44) making 44 then add 48+ 44 + 88 = 180.

x = 88

The forces exerted on an object are shown.

A box has an arrow pointing right labeled 6 N and an arrow pointing left labeled F.

If the object moves right, which of the following is a possible value of F?

Answers

Answer:

The possible value of F must be 5N.

Step-by-step explanation:

A vector quantity is a quantity that comprises of both magnitude and direction. And an example of a vector quantity is force.

In the given question, the pointing arrows are two forces in action, pushing the box in opposite directions.

If the values of both forces pointing left and right are equal, the box would not move. This implies that the two forces are balanced, so the box would be at a state of dynamic equilibrium.

If the box moves to the right, it implies that the force F is less than that pointing right i.e 6N > F.

Therefore, the possible value of F is less than 6N. Thus, F = 5N.

Select the correct answer. What is the solution for x in the equation? 29 + 15x = -x − 3

Answers

First of all, move the terms so that all those who involve [tex]x[/tex] are on one side, and all the costants are on the other:

[tex]29 + 15x = -x - 3 \iff 15x+x=-29-3[/tex]

Sum like terms:

[tex]15x+x=-29-3 \iff 16x=-32[/tex]

Divide both sides by 16:

[tex]x=-2[/tex]

34203985.2 write this as a cash price in dollars

Answers

Answer:

$34,203,985.20

Step-by-step explanation:

Q.The rectangular front windshield of the bus has the length of 1.5√3 m and the width of 1.5 m . The wipers are attached to the bottom corners. If the length of each wiper is equal to the width of the windshield, find the percentage of the windshield that wipers can reach.
(Solve this task without using Trigonometry)​

Answers

Answer:

Area covered by wiper=area of arc(A0D)+area of traingleAOB+area of arc(BOC)

We know AO and OB are wipers,whose lengths are 1.5

In ∆ABC

AB^2+BC^2=AC^2

(1.5√3)^2+(1.5)^2=(AC)^2

2.25×3+2.25=(AC)^2

2.25×4=AC^2

AC=3

Also AO=1.5

similarly using Pythagoras theorem in ∆OBC

we get

OC=1.5

this shows that point O is the bisector of diagonal AC

so,AO=OC

also from property of rectangle we know that, diagonal bisects each other equally

so,O will also be the bisector of diagonal BD

hence OB=OD=1.5

AC=BD (property of triangle)

AC/2=BD/2

OB=OC,hence OB=OC=OD=OA=1.5=AD=BC

Hence OAD will be an equilateral triangle

so

angle OAD=60

similarly angleOBC=60

area of sector=angle of that sector ×area of circle/360

area of arc(AOD)+arc(BOC)=60/360 ×3.14 ×1.5×1.5 +60/360 ×3.14×1.5×1.5

=2×(60/360)×1.5×1.5

area of triangleAOB=area of rectangle/4 (diagonal divides the rectangle in 4 equal parts)

area of triangle=1.5×1.5√3/4

=>1.5×2.6/4=3.90/4

=0.975 or 0.98(approx)

Area covered by wiper=.98+2×60/360 ×3.14×1.5×1.5

=.98+0.75×3.14=2.35+0.97

=2.35+.98

Percentage of area of windshield covered by wiper=3.3×100/3.9=84.61

hence percentage of area of windshield covered by wiper is 85percent(approx)

plz mark brainlest

. To find the exact answer, Marisa created the diagram below. How could she add marks to partition the line evenly? Partition the line and calculate the missing values.

Answers

Answer: first box - ($6.50x6) the answer is  $39.00. Second box - ($6.50x4) $26.00, the answer is $65.00

Also, put your pinky on the line and draw a line next to your pinky and write 10%.

She will save 26.00

she will have to pay 39.00

Step-by-step explanation:

A giraffe was born
measuring 11/2
meters tall. After 6
months, it had grown
60 centimeters. By
the end of the year, it
had grown another 72
centimeters. How
many centimeters tall
is the giraffe now?

Answers

7/2 is the answer trust me


3.The common factor of 10ab,
30bc, 50ca is

Answers

Answer:

its 10

Step-by-step explanation:

its 10 because when u see its written as

10ab, 30bc, 50ca

u see that

10(ab 3bc 5ca) will be the answer as when u take common in these u can see that none of the variables match each other i mean there is no common variable so the common factor would be 10 u can write ur full answer statement as given below:-

10(ab 3bc 5ca).

here is ur answer please do thanks me for that and mark it as brainliest answer

The answer is 10 because I did it my knowledge hope this helps

A number that is multiplied by a variable is called?

Answers

Answer:

A number that is multiplied by a variable is called a coefficient.


Brendan says that the negative of -1/3
is 3 because they are on opposite sides of zero when they are plotted on the number line. Is Brendan correct?

Answers

He is not, 3 is the opposite side AND the reciprocal of -1/3. If it were the opposite side, it would just be 1/3.

Answer:

No.

Step-by-step explanation:

Brendan is incorrect.

The negative of -1/3 is 1/3.

For two numbers to be opposites, or negatives of each other, the numbers must have the same absolute value. Only the signs are different.

HELP PLEASE ILL VENMO THE FIRST PERSON WHO ANSWERS

Answers

Answer:

y=2p+9   i really hope this helps and you dont have to venmo me anything but i had to hurry because i have a quiz and i have to go. bye. hope this helped

Step-by-step explanation:

Find the slope of the line.
(6, 10)
3
(a, 8)
(4, b)
(2, 2)

Answers

Answer:

2

Step-by-step explanation:

Slope of the line can be found using the two points, (2, 2) and (6, 10):

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

Let,

[tex] (2, 2) = (x_1, y_1) [/tex]

[tex] (6, 10) = (x_2, y_2) [/tex]

[tex] slope (m) = \frac{10 - 2}{6 - 2} [/tex]

[tex] Slope (m) = \frac{8}{4} = 2 [/tex]

At what point do the lines y=x-4 and 2x+y=2 intersect?

Answers

Answer:

(2, -2)

Step-by-step explanation:

Given

y = x - 4 2x + y = 2

Solving by substitution

2x + (x - 4) = 23x - 4 = 23x = 6x = 2

Then finding y

y = x - 4y = 2 - 4y = -2

Intersection point is (2, -2)

HELP WILL GIVE BRAINLEIST

Answers

Answer:

n=99°

Step-by-step explanation:

As both the triangles are similar, the angles are equal. For both triangles, n= 180-(37+44)

=99

Answer:

n=9 I think so my sister told me sorry if I am wrong:(

Thanks in advance.............

Answers

The answer is 0.706

Which of the following situations could match this formula? (There may be more than one correct answer.)

500=100x
Question 4 options:

A) An object travels 500 miles at a rate of 100 miles per hour.


B ) An object travels 500 feet for 100 seconds.


C ) An object travels at 500 miles per hour for 100 hours.


D ) An object travels 100 inches per minute for 500 minutes.

Answers

I think it is A, it could be A or D for sure not B or C. But when you think about it it’s probably A.

The given expression is 500=100x, situations A could match this formula.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that,500=100x

If the distance is d, velocity is v and time is t then, The formula for the distance is,

Distance = velocity × time

d=vt

The distance is in miles, v is in miles per hour and t is an hour,

miles = miles/hour × hour

The correct representation of the expression is,

If the time in an hour will be x,

An object travels 500 miles at a rate of 100 miles per hour.

Distance = velocity × time

d=vt

500=100x

Thus, the given expression is 500=100x, situations A could match this formula.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ2

A randomized trial tested the effectiveness of diets on adults. Among 36 subjects using Diet 1, the mean weight loss after a year was 3.5 pounds with a standard deviation of 5.9 pounds. Among 36 subjects using Diet 2, the mean weight loss after a year was 0.6 pounds with a standard deviation of 4.4 pounds. Construct a 95% confidence interval estimate of the difference between the population means, assuming the population standard deviations are equal.

Answers

Answer:

The 95%  confidence interval is

           [tex] 0.45 <  \mu_1 - \mu_2  < 5.35 [/tex]

Step-by-step explanation:

From the question we are told that

   The first sample size is  [tex]n_1 = 36[/tex]

   The first  sample mean is  [tex]\= x_1 = 3.5[/tex]

   The first standard deviation is  [tex]\sigma_1 = 5.9 \ pounds[/tex]

   The second  sample size is [tex]n_2 = 36[/tex]

    The second  sample mean is  [tex]\= x_2 = 0.6[/tex]

    The second  standard deviation is [tex]\sigma = 4.4[/tex]

Generally the degree of freedom is mathematically represented as

     [tex]df = \frac{ [ \frac{s_1^2 }{n_1 } + \frac{s_2^2 }{n_2} ]^2 }{ \frac{1}{(n_1 - 1 )} [ \frac{s_1^2}{n_1} ]^2 + \frac{1}{(n_2 - 1 )} [ \frac{s_2^2}{n_2} ]^2 }[/tex]

=>  [tex]df = \frac{ [ \frac{5.9^2 }{34 } + \frac{4.4^2 }{34} ]^2 }{ \frac{1}{(34 - 1 )} [ \frac{5.9^2}{34} ]^2 + \frac{1}{(34- 1 )} [ \frac{4.4^2}{ 34} ]^2 }[/tex]

=>  [tex]df =63[/tex]

Generally the standard error is mathematically represented as

      [tex]SE = \sqrt{ \frac{s_1 ^2 }{n_1} + \frac{s_2^2 }{ n_2 } }[/tex]

=>  [tex]SE = \sqrt{ \frac{ 5.9 ^2 }{ 36 } + \frac{ 4.4^2 }{36} }[/tex]

=>  [tex]SE = 1.227[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of   at a degree of freedom of is  

     [tex]t_{\frac{\alpha }{2}, 63  } =  1.998  [/tex]

Generally the margin of error is mathematically represented as

        [tex]E = t_{\frac{\alpha }{2}, 63 } * SE[/tex]

=>    [tex]E = 1.998 * 1.227[/tex]

=>    [tex]E = 2.45[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex](\= x_1 - \x_2) -E <  \mu <(\= x_1 - \x_2)  + E[/tex]

 => [tex](3.5  - 0.6) - 2.45 <  \mu_1 - \mu_2  < (  3.5  - 0.6)  + 2.45 [/tex]

=>   [tex] 0.45 <  \mu_1 - \mu_2  < 5.35 [/tex]

     

A dinner table is 5 feet wide and 7 feet long.



Find the area of the table.





A.
75

B.
35

C.
30

D.
144

Answers

the answer is b, 35. have a nice day!
It’s b 35 I helped I think :)

Simplify the following fraction expressions. Show all of your work. a. 3/4+2/3 b. 7/8-1/4 c. 3/5.1/3 d. 4/7.2/3

Answers

Answer:

Step-by-step explanation:

a. 9/12 + 8/12 = 17/12= 1 5/12

b. 7/8 - 2/8 = 5/8

c. 3/5 x 1/3 = 3/15 = 1/5

d. 4/7 x 2/3 = 8/21

Other Questions
Question 18 OT 25Scientists study how the continents move. Why might scientists use a modelto show this movement?A. It is too dangerous to observe directly.B. It is too fast to observe directly.C. It is too slow to observe directly.O D. It is too complex to observe directly. Which of the following circuit components creates a voltage across a circuit? A. switch B. resistor C. wire D. power source Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test.. Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212 ____________ electricity is a quick burst of energy which is produced by charged particles.Thank you The weight of a child in 1990 was 40 lb. By 2005, the child's weighthad increased to 90 lb. What was the percent increase? This equation shows how the total amount of paper Scott's office has recycled depends on the number of weeks since they started the new recycling plan. p = 12w The variable w represents the number of weeks the office has been on the new recycling plan, and the variable p represents the total kilograms of paper recycled. How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper? Cual es la comunicscin desde el punto de visay de cuantod intervirnen en el dilogo o coloquio Fill in the blanks (in Chinese characters), and then translate the sentenceto English. (measure word),,, Which statement BEST describes the power of government provided by the Articles ofConfederation?a) Power by taxing the states.Congressb) The states had more power than the national government.c) government served to successfully unite the needs of all states.d) The national government held most of the power. Which is greater 3/8 or 6/16 Romulus and Remus understood the will of the gods by interpreting the movement of fish.TrueOrFalse Help 6th grade math thanks How much is a ball that is tethered to a post accelerating if its linear speed is 3.5 m/s and the ball is 0.91 meters away from the pole? a = v^2 / r Answer the following questions:a. What is conflict? How does it occur? The lines represented by the equations y - x = -8 and y = -x 6 arethe same lineSubmit Answerneither parallel nor perpendicularperpendicularparallel Heeeeeeeeeeelp please :-( please answer/ HELP ME I am using ALL of my points to ask this !!! Write the equation for the quadratic function in the graph. On January 1, 20X6, Pepper Corporation issued 10-year bonds at par to unrelated parties. The bonds have a 10% stated rate, face value of $300,000, and pay interest every June 30 and December 31. On December 31, 20X9, Salt Corporation purchased all of Pepper's bonds in the open market at a $6,000 discount. Salt is Pepper's 80 percent owned subsidiary. Salt uses the effective interest method of amortization. The consolidated income statement for the year 20X9 should report with respect to the bonds: I. interest expense of $30,000. II. a gain of $6,000. what were natural resources that promoted economic stability for the new England colonies.please write 5 to 7 sentences