f(x)= (x-1)(x(x+1)+2x) find all rational zeros​

Answers

Answer 1

Answer:

x = 0, x = 1, x = - 3

Step-by-step explanation:

To find the zeros, let f(x) = 0 , that is

(x - 1)(x(x + 1) + 2x) = 0  ← distribute and simplify parenthesis

(x - 1)(x² + x + 2x) = 0

(x - 1)(x² + 3x) = 0 ← factor out x from the second parenthesis

x(x - 1)(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x - 1 = 0 ⇒ x = 1

x + 3 = 0 ⇒ x = - 3


Related Questions

William got scores of q sub 1, , and q sub 3 on three quizzes.

a. Write a formula for the average x of all three quizzes.


b. William got an 85 and an 88 on the first two quizzes. What formula can William use to determine the score he needs on the third quiz to get an average of 90? What score does he need?

Answers

Answer:

a. The average is  =(++) .

b. He can use the formula  =−− q sub 3 , equals 3 x minus , q sub 1 , minus , q sub 2. He will need a score of  =()−−= q sub 3 , equals 3 open 90 close minus 85 minus 88 equals 97 on his third quiz.

Step-by-step explanation:

write the equation of a line passing through the points (-3,4) and (3,4)

Answers

Answer:

m=0 y=4

Step-by-step explanation:

what equation of a line passes through the points (0,8) and (6,4)

Answers

Answer:

y=-3/2x+6

Step-by-step explanation:

You will need to find the equation of the line in slope-intercept form y=mx+b.

First, find the slope m using slope formula m = (y_2-y_1)/(x_2-x_1) which is m=(6-(-6))/(0-8)=-12/8=-3/2

Now that you found the slope, your equation intercept form looks like y=-3/2 x+b.

Both points (8, -6) and (0.6) belong to this line, therefore both points coordinates satisfy line above which means: 6=-3/2(0)+b (i used second point here)

Solving for b we will get y intercept which is b=6

Finally, the line that passes through points (8,-6) and (0,6) has equation: y=-3/2 x + 6

Find the equation of the line.

Answers

To find the equation of the line, we need to figure out the slope and y-intercept.

To find the y-intercept, look at the number where the line intersects the y-axis. The number is 5. The equation so far is y = ?x + 5.

We still didn't figure out the slope yet. To figure out the slope, pick two points. Use the rise over run method. It is in the image below. The line is going up to the left, so the slope will be negative. Now we know the slope is -1/3. The equation now that we figured out the slope is y = -1/3x + 5.

I hope this helps you! Let me know if I got something wrong.

Write the word sentence as an equation. Then solve.

The difference between a number p
and 6
is −14
.

Answers

Answer:

Equation- p-6= -14

Answer- p=-8

Step-by-step explanation:

Writing an equation to represent the following situation? Maria wants to buy apples and pears at the store. Let x = number of apples and y = the number of pears. Apples are $4 a pound and pears are $2 a pound. She has a total of $20 to spend.

Answers

Answer:

4x+2y=20

Step-by-step explanation:

x=apples ($4/lb)

y=pears ($2/lb)

y = 5x - 6
slope
y-intercept

Answers

Answer:

slope:5

y intercept: -6

Step-by-step explanation:

Given quadrilateral EFGH at e(-4,7) f(8,4) G(t,-5) and h(-7,-1) using coordinate geometry prove EFGH is a rectangle

Answers

The above question was not properly written.

Complete Question

Given quadrilateral EFGH with vertices at E(-4,8), F(8,4), G(5,-5) and H(-7,-1), prove using coordinate geometry that EFGH is a rectangle.

Answer:

Quadrilateral EFGH is a rectangle.l because:

EF = GH and FG = EH

Step-by-step explanation:

The formula for coordinate geometry is given as :

√(x2 - x1)² + (y2 - y1)² when we have coordinates: (x1, y1) and (x2 , y2)

For the quadrilateral EFGH with given coordinates above to be a rectangle,

EF = GH

FG = EH

Hence:

For side EF

E(-4,8), F(8,4)

= √(8 - (-4))² + (4 - 8)²

= √12² + -4²

= √144 + 16

= √160 units

For side FG

F(8,4), G(5,-5)

=√(5 - 8)² + (-5 - 4)²

= √-3² + -9²

= √9 + 81

= √90 units

For Side GH

G(5,-5) , H(-7,-1)

= √(-7 - 5)² + (-1 - (-5))²

= √-12² + 4²

= √144 + 16

= √160 units

For side EH

E(-4,8), H(-7,-1)

= √(-7 -(-4))² +(-1 - 8)²

= √-3² + -9²

= √9 + 81

= √90 units

From the above calculation, we can see that truly,

EF = GH

FG = EH

Therefore, quadrilateral EFGH is a rectangle.

A ______ always has a numerator of 1
A. fraction
B.Simplest form
C. unit fraction
(answer asap) please and ty!

Answers

Answer:

C. Unit Fractions

Step-b

Can someone tell me some good puns on cheese ?
(Don’t mind the purpose) Thank you !

Answers

Answer:

What Did the Blind Man Say after Being Handed a Cheese Grater?

"That's the most violent book I've ever read."

Step-by-step explanation:

Answer: I could but it will be a little cheesy

Step-by-step explanation:

At 5:30 p.m., the temperature was recorded as 4 °F. At 10:00 p.m., the temperature had dropped 2 °. Which number line below best shows the
temperature at
10:00 p.m.?

Answers

Answer:

the answer is A

Step-by-step explanation:

1. Johnny typically drives his truck between 250 and 300 miles a day for work. Last week he worked 5 days and drove a total of 1300 miles. Is this reasonable?

Answers

Hey I’m in class but it is fine to help a friend so that answer is 1350

Answer:

1350

Step-by-step explanation:

The product of 6g2 and -2g3 is equals to​

Answers

Answer:

We conclude that:

[tex]\left(6g^2\:\right)\times \left(-2g^3\right)=-12g^5[/tex]            

Step-by-step explanation:

Given

6g²-2g³

The product of 6g² and -2g³ can be determined by multiplying each other such as:

[tex](6g^2\:)\times \:(-2g^3)[/tex]

Apply the rule:  a(-b) = -ab

[tex]\left(6g^2\:\right)\times \left(-2g^3\right)=-6g^2\times \:\:2g^3[/tex]

Apply exponent rule:   [tex]a^b\times \:a^c=a^{b+c}[/tex]

                          [tex]=-6g^{2+3}\times \:2[/tex]

                          [tex]=-6g^5\times \:2[/tex]

                          [tex]=-12g^5[/tex]

Therefore, we conclude that:

[tex]\left(6g^2\:\right)\times \left(-2g^3\right)=-12g^5[/tex]            

Jane has 1 quarter, 3 dimes, and 4 nickels. What percent of dollar does Jane have?

i know the answer is 44% but can someone please explain how i got 44%??

Answers

Answer:

ok so I'm English not a hundred percent sure on your break down of money......so if I'm right in thinking that a nickel = 5 cents, dime = 10cents and a quarter =25cents

you add the amounts together

so 25 + 30 +20 = 75 cents.

there are 100 cents in a dollar so 100/100 X 75=75%

I have no idea how you got to 44%

Write the formula for the following sequence.
5.8, 3.6, 1.4,...
PLEASE SHOW YOUR WORK.​

Answers

[tex]tn = t(n - 1)- 2.2[/tex]

common difference is

3.6 - 5.8 = -2.2

let T1 = 5.8

T2 = 3.6

assuming we are to find T2

T2 = T(2-1) -2.2

= T1 -22

= 5.8 -2.2

= 3.6

9.How much interest do you earn when you deposit $100 at 25% for 2 years?

10.In question #9, how much does the bank owe you at the end of those two years?

Answers

Answer:

For simple interest: $50, for compound interest: $56.25

Step-by-step explanation:

Year 1) 100+100(.25) = 125

Year 2) 125+125(.25) = 125+31.25 = $156.25

156.25 - 100 = $56.25

25 x 2

=50

Simplify this expression 5x-3(x-2)-x

Answers

Answer:

x+6

Step-by-step explanation:

5x-3(x-2)-x

5x-3x+6-x

combine like terms

x+6

X+6
Combine like terms :)
Enjoy the rest of your day/night

What is the approximate area of
the figure? Use 3.14 for T.
-12 m-
A. 57 square meters
B. 113 square meters
C. 226 square meters
D. 452 square meters

Answers

A . 226 square meters

Help its urgent!!!!!!!!!!

Answers

Answer:A>

Step-by-step explanation:

find the perimeter of the new shape

Answers

Since 4.5 is half of 9 then x should be half of 31.5 therefore X=15.75
Perimeter of new shape is 94.5

Será buys 1.20 pounds of skittles 3½ pounds of m&m's and 5.2 pounds of pretzels if the candy cost $1.20 a pound and the pretzels cost $1.10 a pound how much did será spend?

Answers

Answer:

3:00

Step-by-step explanation:

0.42, 0.84, 1.26, 1.68, ............

Find the 63rd term

a
26.28
b
27.3
c
26.46
d
24.64

Answers

Answer:

Step-by-step explanation:

Find the nth term so the sequence is going up by 0.42

0.42*63=26.46

63rd term=26.46

I've been given this for maths and I have no clue what to do can someone help me out?​

Answers

maths makes no sense sometimes i swear

(HURRY I’LL GIVE YOU THE BRAINIEST IF YOU GET IT RIGHT) What is 3 3/4 x 2 1/2 in fractions?

Answers

Answer:

9 3/8

Step-by-step explanation:

or 75/8

Answer:

I think its 15/4

Step-by-step explanation:

:)

Elena made $1,350 in 18 days. Let c represent the amount of money she made each day. If Elena made the amount of money each day, how much did she make in 1 day? Write an division equation.

Answers

answer: $75 per day.

explanation:

1350 divide by 18 = $75 each day

The rate of money earned per day will be $75 per day.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

Elena made $1,350 in 18 days.

Earning per day = ($1350/18) = $75 per day.

Hence "The rate of money earned per day will be $75 per day".

To learn more about the rate of change here,

brainly.com/question/12786410

#SPJ2

Employees at a large office building took a survey. The results show that those who began work earlier tended to drink less tea. Which statement is most likely true?

Answers

Answer:

B) There is a correlation between start time and amount of tea consumed. There may or may not be causation. Further studies would have to be done  to determine this.

Step-by-step explanation:

Correlation in terms of statistics refers to the relationship that exists between two components. The extent to which the two components or data are related to each other is highlighted with correlation. The change in one component brings the same amount of change in the other component. Correlation discloses the way the variables are related.  

In the given excerpt, the correlation between start time and amount of tea consumed has been highlighted. This data is required for further research about the cause.

A DVD has a diameter of 18 centimeters. What is the area of the DVD? Round your answer to the nearest hundredth. Use 3.14 for π.

Answers

Answer:

. SAME THING YOU PUT FOR MY ANSWER IM GONNA DO THE SAME FOR YOU

Step-by-step explanation:

The equation of the line that goes through (-3,5) and (2,-4)

Answers

Answer:

y=-9/5x-2/5

Step-by-step explanation:

Answer:

y=-9/5x-2/5

Step-by-step explanation:

Slope=m=Rise/Run=(y2-y1)/(x2-x1)=(-4-5)/(2-(-3))=(-9)/(5)=-9/5

So the equation becomes y=-9/5x+b

Plug in one of the given points:

y=-9/5x+b

-4=-9/5(2)+b

-4=-18/5+b

-0.4=b

b=-0.4

Therefore the equation of the line is y=-9/5x-2/5

I REALLY need help with this question please.

Answers

Answer: Choice D) 281.25 mg

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

Work Shown:

Plug in t = 2 and we get the following

[tex]a = 500*\left(\frac{3}{4}\right)^{t}\\\\a = 500*\left(\frac{3}{4}\right)^{2}\\\\a = 500*\left(0.75\right)^{2}\\\\a = 500*0.5625\\\\a = 281.25\\\\[/tex]

The answer is choice D. There are 281.25 mg of aspirin in the bloodstream after 2 hours.

-----------------

Side notes:

The 500 represents the initial amount of aspirin (in mg) in the bloodstream. This is the amount when t = 0.The 3/4 converts to 0.75; when solving 1+r = 0.75, we get r = -0.25, and this shows a 25% reduction in aspirin each time t goes up by 1. Every hour, the amount of aspirin in the bloodstream reduces by 25%

Answer:

375

Step-by-step explanation:

because if you look at the question 3\4 is 1 hour with the aspren 500 after 2 hours you 2 the ammount i think

Find the missing number so that the equation has infinitely many solutions
-3x + _= -5x + 20 + 2x

Answers

Answer:

20

Step-by-step explanation:

-3x+20=-5x+20+2x

reduced:

-3x+20=-3x+20

subtract 20 from each side

Then

-3x=-3x

Other Questions
FILL IN THE BLANK6. Mi mam piensa que todos los quehaceres son ______ m.7. Mi pap tiene un _____ grande para ver sus programas favoritos.8. Me gustan los cuadros de Picasso que estn en _____ 9. Para cocinar rpidamente, se necesita ____10. Miro mi cara bonita en _____11. Necesitamos _____ las flores todos los das.12. To babysit = _____13. Estoy ____ un libro interesante.14. ____ lavar los platos, se usa el lavaplatos.15. To clean dirt away =_____ A student has a container with a volume of 2.5 liters. She estimates the volume to be 2.4 liters. Bywhat percent is the student's estimate off? Gio hiked six miles in two hours. At this rate, what is the total number of miles Gio could hike in nine hours? A research study showed that a sample of 25 dosages from a medicine dispensing machine averaged 24.1 mg of a certain drug. The sample standard deviation was 1.8 mg. a) Form a 99% confidence interval of the population average of drug dosage dispensed. b) Explain what this interval means to someone unfamiliar with this research. In five to seven sentences, describe the difference between a parliamentary and a presidential government. hurry pls this is over due, ty :)802 divided by 90 Determine the standard enthalpy of formation of SrI2(s) using a BornHaber cycle. Enthalpy of sublimation of Sr(s) = 164 kJ/mol 1st ionization energy of Sr(g) = 549 kJ/mol 2nd ionization energy of Sr(g) = 1064 kJ/mol Enthalpy of sublimation of I2(s) = 62.4 kJ/mol Bond dissociation energy of I2(g) = 152.55 kJ/mol 1st electron affinity of I(g) = 295.15 kJ/molLattice energy of SrI2(s) = 1959.75 kJ/mol HELP ME PLZ I NEDD A ON ThIS SO GET ME RIGHT I WELL GIVE BAIRELEST this is what happens when you let your dog in the snow. its always heartwarming to see torch play. Why do some totalitarian regimes attempt to dissolve tradition (religion, traditional customs, etc.)? A book sold 36,600 copies in its first month of release. Suppose this represents 7.1% of the number of copies sold to date. How many copies have been sold to date? Please help! a) Beatrice lives in a small town of 5,000 people. There are 1,500 people under the age of 16,500 people who are retired, 2,750 people who have jobs, and 250 people who are activelylooking for work. What is the unemployment rate of Beatrice's town? Wjat two factors contributed to the spread of islam in africa What are the three elements of an editorial?o the introduction, the purpose, and the closingo the introduction, the body, and the conclusionO the opinion, the purpose, and the call to actiono the headline, the opinion, and the closing Please help me with this homework how would the fraction 51-(3 be rewritten if it's denominator is rationalized using difference of squares 6x^2+13x+12Plz help me If point P is Four-sevenths of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into? 4:1 4:3 4:7 4:10 Scott bought 8 packs of pencils for y dollars per pack. Which expression shows how much Scott pays for the pencils? The light-colored peppered moth was a dominant species in England prior to the industrial revolution. With an increase in the black soot produced by industries, more dark-colored peppered moths began to appear in areas where trees were covered by soot. Gradually, the dark-colored moths dominated the population by over 98%.What is one explanation as to why natural selection resulted in the presence of more dark-colored moths over time?A.The light-colored moths were eaten by birds in larger quantities because they tasted better.B.The light-colored moths were not able to survive the soot-polluted environment.C.The dark-colored moths were resistant to the pollution due to a gene mutation.D. The dark-colored moths were better camouflaged so they were not eaten by birds as often.