The equation [tex]x^3-x^2+ax+b=0[/tex] has three integer solutions.

Two of these solutions are [tex]x=1[/tex] and [tex]x=2[/tex].

Work out the third solution to the equation.

Answers

Answer 1

Answer:

x = - 2

Step-by-step explanation:

x³-x²+ax+b = (x-1)(x-2)(x+c) = x³ + (c-3)x² + (2-3c)x +2c

c-3 = -1       C = 2

a = 2 - 3c = 2 - 3*2 = - 4

b = 2c = 4

third solution: x+2=0    x=-2


Related Questions

Piper opened a savings account with $1400 that pays no interest. She deposits an
additional $50 each week thereafter. How much money would Piper have in the
account 47 weeks after opening the account?

Answers

Answer:  Piper will have $3750  

Step-by-step explanation:

In this situation we will represent the total amount she have in the bank by y and the number of weeks by x

The whole situation can be represented by the the equation

  y = 1400 + 50x  where y is the total amount , 1400 is the initial amount Piper deposited , 50 is of course the amount Piper will deposit each week , and x is the number of weeks.

Now since they are looking for the amount Piper will have in his account, you have to input 47 for x and solve for y.

y = 1400 + 50(47)

y = 1400 + 2350

y = 3750

PLEASE HELP MEEE

I don’t under this at all
I don’t need to show my work but I just need the answer or help

Answers

Answer:i think 1

Step-by-step explanation:

Answer:

2x+4=5

Step-by-step explanation:

there are two positive x boxes do 2x 4 positive boxes so +4 and 5 positive boxes.

Need help with number 7 plzzz and just zoom in if u can’t see and I’ll love u forever

Answers

Answer:

Good luck

Step-by-step explanation:

pls help I cant figure it out i give 10 points for both​

Answers

Answer: the top question  is 5 and the bottom question is 6

Step-by-step explanation: you do 4 times what equals 48 then u divide that by 60

help asap will mark brainliest

Answers

Answer:

The first is not

The second one because the others equal 4x^2 if you distribute them.

What is the slope-intercept form of the equation of the line that passes through the points (9, 5) and (4, 1)?

Answers

Answer:

y=4/5x+-11/5

Step-by-step explanation:

might no be but im sleepy so

Answer:

y=4/5x−11/5

Step-by-step explanation:

Just took the test

bc + 5a = help pls!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is -72-41

Step-by-step explanation:

what is the y intercept of the line given by the equation below
y=-10x+14​

Answers

Answer:

(0, 14) is the y-intercept

Answer:

14 is the y-intercept

Step-by-step explanation:

10 would be the slope so that leaves 14 which is the y intercept

Convert the following equation to Slope-Intercept Form
HINT: Slope-Intercept Form is y = mx + b
y-8= 3(x + 5)

Answers

Answer:

y = 3x + 23

Step-by-step explanation:

Given the equation :

y - 8 = 3(x + 5)

We are to convert the equation to slope - intercept form:

Recall: general form of a slope - intercept model:

y = mx + c

Hence,

y - 8 = 3x + 15

y = 3x + 15 + 8

y = 3x + 23

Comparing :

y = mx + c

y = 3x + 23

What do I put as the answer ?

Answers

Answer:

33

Step-by-step explanation:

a right angle is 90 degress since the other side is 57 than ac must be 33

SOH CAH TOA

For this question, u are going to use
TOA

Tan57=x/9
Tan(57)(9)
X=4.36

Water along the Mississippi River is rising at a rate of 24.8 cm/hr. The top of a dock in the river currently sits only 1.2 meters above the water. How many hours will it take the water to reach the top of the dock

Answers

Answer:

4.84*10^-4hours

Step-by-step explanation:

Speed = Distance/Time

Time = Distance/Speed

Given

Distance = 1.2m = 0.012cm

Speed = 24.8cm/hr

Get the time;

Time = 0.012/24.8

Time = 4.84*10^-4hours

Hence it will take the water 4.84*10^-4hours to reach the top of the dock

The functions g and h are such that g(x)=2x+5 and h(x)=ax+b

Answers

the answer is : a=9 and b=-1

So far, Phillip has completed 3/4 of his run. If he has run 9 miles, how far does he plan to run

Answers

Answer:

He has to run a total of 12 miles and has 3 more miles to run

Step-by-step explanation:

Well we know that 3/4 is 9 out of the total miles he is willing to run. We can divide 9 by 3 to get 1

Now we know 1/4 of his run is 3 miles

3*4= 12

He has to run a total of 12 miles and has 3 more miles to run

Answer:

He plans to run 12 miles

Step-by-step explanation:

He plans to run 12 miles because if he ran 9 miles so far and that is 3/4 of his way then you would do 3 divided by 9 to get 3.  Then you would add a 3 to nine because that 3 would be the last quarter t complete his run.

On the playground, 1/4 of the students are on the jungle gym, and 1/3 f the students are playing kickball. What part of all the students on the playground is on the jungle gym or playing kickball?

Answers

Answer:

7/12 of the students

Step-by-step explanation:

So first you would need to get your fractions to have the same denominator. When your trying to get your fractions to get the same denominato. You must multiply both the numerator and denominator.

The most common denominator from 1/4 and 1/3 is 12. So you multiply both the numerator and denominator of 1/4 by 3. So then your new fraction is 3/12. Now you multiply 1/3, both numerator and your denominator by 4. Then your new fraction is 4/12. So The last step is to add both of your numerators. Never add the denominators together. And at last you have your answer. 7/12.

(Hope this helps! Brainliest?)

What is the solution of the inequality |2x+3|≤7?

Answers

Assuming you want to solve for x the result can vary. The result can be shown in multiple forms. Hope this helps!

Inequality Form:
−5≤x≤2
Interval Notation:
[−5,2]

The required solution in interval notation is [−5,2].

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

Set of such values is called solution set to the considered equation or inequality.

Assuming we want to solve for x the result can vary.

We are given to find the solution to the following compound inequality in interval notation.

Inequality Form:

−5 ≤ x ≤ 2

Thus, the required solution in interval notation is [−5,2].

Learn more about inequalities here:

https://brainly.com/question/27425770

#SPJ2

i need help anyone know

Answers

Answer:

yes ur correct its nonlinear lol

Step-by-step explanation:

do you know what is 25 x 100

Answers

Answer:

2500

Step-by-step explanation:

20x100=2000

5x100=500

2000+500=2500

:)

A donut shop has fixed costs of $32 per V day, and $2 per muffin sold. This formula can be represented by y = 2x + 32 , where x is the number of muffins sold, and y is the cost per day. Write this relationship in functional notation, as a function C(m) , where C(m) represents the cost for m muffins sold. Select the ordered pair that would represent this function C, given m. (32, (2)) 32 (m, 2m + 32) (2m + 32, m) (c(m), m)

Answers

I think it’s 57 I’m not sure

Penny is 100 centimeters tall. Jeremy is 38 inches tall. Who is taller

Answers

1 inch = 2.54 cm
100 cm * (1 inch)/(2.54 cm) = 39.37 inches
Penny is taller

Answer:

Penny is taller than Jeremy.

Step-by-step explanation:

1 inch=2.54 cm

? = height of Jeremy

Make proportion:

1    - 2.54

38 -  ?

?= 38*2.54 ÷ 1

?= 96.52

Jeremy is 96.52 inches

96.52<100

What’s the GCF OF 48 and 30??

Answers

Answer:

GCF OF 49 AND 30 IS 6

Step-by-step explanation:

greatest common factor

What is Becca’s speed in miles per hour?

Answers

Answer:

1.5 OR 1 1/2

Step-by-step explanation:

Convert the fractions into decimals.

9/10 = 0.9

3/5 = 6/10 = 0.6

Divide the decimals.

0.9/0.6 = 1.5

Convert back to fraction.

1.5 = 1 1/2

What is the x-coordinate of point B? Write a decimal coordinate.

Answers

Answer:

-1.5

Step-by-step explanation:

Hope this helps! :D

Still dont know... fff

The total cost of the raffle tickets is proportional to the number of tickets bought. Sam can buy 5 raffle tickets for $4. What is the cost per ticket?

Answers

Answer:

.8

Step-by-step explanation:

4/5=.8

Solve for x. y +X=b Help!

Answers

9514 1404 393

Answer:

  x = b - y

Step-by-step explanation:

To get x by itself, subtract y from both sides.

  y + x = b . . . . . . . . . given

  y - y + x = b - y . . . . subtract y

  x = b - y . . . . . . . . . simplify

(PLEASE HELP ME FAST! )

What missing number
makes the following equation true for any value of n?
2(5n - []= 4(3n – 5) - 2n

A. 20

B. 10

C. 5

D. 2

Answers

Answer:

2(5n - []= 4(3n – 5) - 2n.

Step-by-step explanation:

A20

Each bag of skin contains 2.6 ft.³ of sand, how many bags of sand will need to be purchased to completely fill the sandbox?

Answers

Answer:skin?

Step-by-step explanation:

Convert 4 yards to inches.

Answers

Answer:

144 inches is the answer

Answer:

4 yard = 144 inches

Step-by-step explanation:

as 1 yard = 36 inches

plz follow me

what is 908 divided bye 78 = bank

Answers

Answer:

454/39 simplified is 11 25/39

Step-by-step explanation:

Answer:

= 11

Step-by-step explanation:

908/78 =11.64102564 - sorry if im rong but hope it helps

(>-<)

helppp ill mark u as brain list​

Answers

Answer:

It is hard to see the picture, but I think it is 6.

Step-by-step explanation:

1 kilogram =2.2
1 stone=14 pound
change 42 kilogram into stones

Answers

Answer:

6.6 stones

Step-by-step explanation:

1kg=2.2 pounds=>42kg=2.2*42poumds=92.4pounds

1stone=14pounds=>92.4pounds=92.4÷14stones=6.6stones

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