f(x) = (2x + 1)(x - 2)(x + 3)

F(x) = (2x + 1)(x - 2)(x + 3)

Answers

Answer 1

Answer:

f(3) = 42.

Y-intercept is (0, -6).

X-intercepts  are (-0.5, 0),  ( 2, 0) and (-3, 0).

Step-by-step explanation:

f(3) = (2(3) + 1)(3 - 2)(3 + 3)

= 7 * 1 * 6

= 42.

The y intercept occurs when x = 0:

y-intercept = (2(0) + 1)(0 - 2)(0 + 3)

= 1 *-2*3

= -6.

Calculate the x-intercepts:

(2x + 1)(x - 2)(x + 3) = 0  so

(2x + 1) = 0 or  (x - 2) = 0   or   (x + 3) = 0

So x = -0.5,  2 or  -3.


Related Questions

5 numbers that create the mean of 9​

Answers

Answer:

9,9,9,9,9

Step-by-step explanation:

Let the five unknown numbers be x

= [tex]\frac{x+x+x+x+x}{5} = 9[/tex]

Simplify

[tex]\frac{5x}{5} = \frac{9}{1}[/tex]

Cross-cancel common factor ; 5

[tex]5x\div 5 = x\\\\x = \frac{9}{1} \\\\x = 9[/tex]

How do I solve this problem

Answers

Answer:

2.9309

Step-by-step explanation:

2.9309 is the answer

How many solutions does the system have?

2x+3y=6
-3x+5y=-15

Answers

Answer:

one solution

Step-by-step explanation:

2x+3y=6      multiply this equation  with 3

-3x+5y=-15    multiply this equation  with 2

so

6x+9y=18

-6x+10y=-15

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

add these equation

so 6x-6x+9y+10y=18-15

     19y=3

y=3/19

so 2x+3*3/19=6      multiply this equation  with 19

2x*19+9=6*19

38x+9=114

-9          -9

38x=105

x=105/38

   

Monica is a lawyer who earns $8,322.65 every month. She spends $830.98 on rent, $210.36 on food, and $120.45 on gas every month. After these expenses, she has $ left from her earnings.

Answers

Answer:

Money left from her earning after expenses is $ 7160.86

Step-by-step explanation:

Money earned by Monica every month = $ 8322.65

Money spend on rent = $ 830.98

Money spend on food = $ 210.36

Money spend on gas every month = $ 120.45

Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )

                                              = 8322.65 - 1161.79

                                              = $ 7160.86

Answer:

Money left from her earning after expenses is $ 7160.86

Step-by-step explanation:

Money earned by Monica every month = $ 8322.65

Money spend on rent = $ 830.98

Money spend on food = $ 210.36

Money spend on gas every month = $ 120.45

Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )

                                              = 8322.65 - 1161.79

                                              = $ 7160.86

Therefore. Money left from her earning after expenses is $ 7160.86

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i. What is the student's mistake? Select the two correct answers. A. They multiplied the second number by the real part of the first number. B. In the multiplication of the imaginary parts, the student forgot to square the i. C. The student has only multiplied the real parts and the imaginary parts. D. The student has added the real parts and multiplied the imaginary parts. E. The student has multiplied the second number by the imaginary part of the first number.

Answers

Answer:

B. In the multiplication of the imaginary parts, the student forgot to square the i. C. The student has only multiplied the real parts and the imaginary parts.

Step-by-step explanation:

Before we figure out the student mistake, let us find the product of the complex numbers ourselves first.

(4+5i) (3-2i)

open the parenthesis

= 4(3)-4(2i)+3(5i)+5i(-2i)

= 12-8i+15i-10i²

Note that in complex number, i² = -1, hence the expression will become;

= 12-8i+15i-10(-1)

= 12-8i+15i+10

collect like terms by separating the real from imaginary part

= 12+10-8i+15i

= 22+7i

From the students answer i.e 12-10i, it can be concluded that;

In the multiplication of the imaginary parts, the student forgot to square the i and the student has only multiplied the real parts and the imaginary parts 4 and 3 to get 12

greatest 2 factors of 90

Answers

Answer:

45 & 30

Explanation:

30 x 3 = 90.

45 x 2 = 90.

So the two of these are the answers. Hope it helps!

Answer:

45 and 30

Step-by-step explanation:

Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation.

Answers

Answer:

-the set of people with Social Security cards and the set of Social Security numbers

Explanation:

There's literally no relation between the height of a tree and the number of trees in a forest that can be clearly seen. Same goes to models and people in a certain town. Birthdays and Students in Class definitely have no correlation as isolated pieces of information. The number of people with social security numbers and the amount of numbers in a SS Card, though, have a direct relation, since the number has to be large so the amount of people that need such a number can have unique numeric representations of their Social Security.

What are the next two terms in this sentence? 5, 10, 20, 40

Answers

Answer:

80, 160

Step-by-step explanation:

It's just multiplying the last term by 2.

Answer:

80 and 160

Step-by-step explanation:

5 × 2 = 10

10 × 2 = 20

20 × 2 = 40

40 × 2 = 80

80 × 2 = 160

Hope it helps!

You randomly draw twice from this deck of
cards
HCF F||0||D
What is the probability of drawing a D, then
drawing an F, without replacing the first
card?

Answers

answer=my buttttttttttttttttttttttttttttttttttttttttttttttttt

A hot air balloon ascended to a height of 25 meters 2 minutes after launch. After some time, the balloon's altitude began to change by -2⅕ meters every minute for 7 minutes. To avoid a tree, the balloon flew up by 8½ meters. What is the new altitude of the balloon? expression for problem?

Answers

Answer:

18.1 m

Step-by-step explanation:

For this problem, we will simply use the initial height of 0 meters, the height of 25 meters after 2 minutes, the decline of 2.2 meters every minute for 7 minutes, and a final increase of 8.5 meters to find the final altitude of the ballon.

0m + 25m - 2.2m(7) + 8.5m = ?

25m - 15.4m + 8.5m = ?

9.6m + 8.5m = ?

18.1m = ?

Hence, the final altitude of the ballon is 18.1m.

Cheers.

Four water tanks can hold a total of 432.4 gallons of water. On average, how much water can one tank hold? How much water is in a tank that is half-full? One tank can hold an average of gallons of water. A half-full tank will hold gallons of water.

Answers

Answer:

one tank can hold 108.1 gallons. half full is 54.05

Step-by-step explanation:

Answer:

54.05 gallons

Step-by-step explanation:

432.4÷4= 108.1108.1÷2= 54.05

If FG = 10, GH = 7x, and FH = 9x, what is FH?
F 10
G
H
9x

Answers

Answer: FH is 9x, given in the question

It's 45 if you solve for x and plug in x=5

Step-by-step explanation:

FG+GH =FH

10+7x= 9x

10=2x

x=5

FG+GH=FH

10 +7(5) = 9(5)

10 + 35 =45

How are natural and whole numbers different ?

Answers

Answer:

Whole numbers include 0 while natural numbers do not.

Step-by-step explanation:

Natural numbers are 1, 2, 3, 4, etc.

Whole numbers are 0, 1, 2, 3, 4, etc.

Keena's shirt is $13. She gets a 20% off. What is the price?

Answers

Answer:

$10.40

Step-by-step explanation:

Just like any other percent problem, subtract 20%.

$13 - 30% = $10.40

Your answer is $10.40. Hope this helps!

The scatter plot shows association between the age of a motorcycle and the sale price of the motorcycle because as the age of a motorcycle increases, the sale price of the motorcycle

Answers

Answer:

C

Step-by-step explanation:

The answer is C

PLEASE HELP ME I REALLY NEES HELP


Changes of State

Gas

B

Temperature

Solid

Liquid

A

Thermal Energy

4. Suppose the material is being heated.

a. What change of state is represented by line segment A?

b. What is happening to the average kinetic energy of the particles during the

change of state represented by line segment B? Explain.

c. What physical property does the temperature at point B represent? If the

liquid is kept at this temperature what state of matter will be observed?

Explain your answer.

Answers

Answer:

Please find the answer in the explanation

Step-by-step explanation:

Suppose the material is being heated.

a. What change of state is represented by line segment A?

The solid changes to liquid state. The change of state is Melting.

b. What is happening to the average kinetic energy of the particles during the change of state represented by line segment B? The average kinetic energy of the particle increases as the heat is applied but remains constant during the change of state.

c. What physical property does the temperature at point B represent?

Vapourisation.

If the liquid is kept at this temperature what state of matter will be observed?

If the temperature persists, the state of matter that will be observed will be gas. Because the liquid must have turned out to vapour.

what is the answer to -5( 8g + -4 )​

Answers

Answer:

-40g+20

Step-by-step explanation:

-5(8g-4)

-40g+20

Find the midpoint of the segment with the given endpoints. (-10.2) and (0,-7)​

Answers

Answer:

[tex]=\left(-5,\:-\frac{5}{2}\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:2\right),\:\left(x_2,\:y_2\right)=\left(0,\:-7\right)\\\\=\left(\frac{0-10}{2},\:\frac{-7+2}{2}\right)\\\\= (\frac{-10}{2} , \frac{-5}{2})\\ \\=\left(-5,\:-\frac{5}{2}\right)[/tex]

What is the mean of 6,3,2,1,9,9

Answers

5 you add them all up and then divide by how many number you added


(6+3+2+1+9+9) and then divide by 6

Answer:

[tex]\boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}[/tex]

Step-by-step explanation:

Given data : 6 , 3 , 2 , 1 , 9 , 9

Σfx = 6 + 3 + 2 + 1 + 9 + 9 = 30

N ( total number of observation ) = 6

Finding the mean

[tex] \boxed{ \sf{mean = \frac{Σfx}{N} }}[/tex]

[tex] \dashrightarrow{ \sf{mean = \frac{30}{6} }}[/tex]

[tex] \dashrightarrow{ \sf{mean = 5}}[/tex]

Hope I helped!

Best regards! :D

Can you simplify this algebraic expression? Type your answer below!
(2x-4) - (6x +6)

Answers

Answer:

-4x -10

Step-by-step explanation:

remove paranthese: 2x−4−6x−6

collect like terms: (2x−6x)+(−4−6)

−4x−10

The simplified Algebraic Expression of (2x-4) - (6x +6) is -4x - 10.

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

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

Now, solving the above expression

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

= 2x - 4 - 6x - 6

Combining the like terms

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

= -4x - 10

Hence, the simplified expression is -4x-10.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ3

Graph f(x) = 2x2 + 12x + 12

Answers

The answer is 6 my guy

Answer:

Step-by-step explanation:

So uh max points is 100 well whats 2-1 equal im really confused

Answers

Answer:I'm confused to

Step-by-step explanation:

Answer:

Can you explain more 2-1 as in a ratio

Step-by-step explanation:

here is the question the whole question is in the image​

Answers

Answer:

The change for the input would be 1, and the change for the output would be 0.35. The rate of change should be 0.35 also.

Step-by-step explanation:

Which equation describes this line?
(1, 13)
(-2, 4)

Answers

Answer:

y =3x+10

Step-by-step explanation:

[tex]\mathrm{Line\:passing\:through\:}\left(1,\:13\right)\mathrm{,\:}\left(-2,\:4\right)\\\\(1,13)=(x_1,y_1)\\(-2,4) = (x_2,y_2)\\\\\frac{y-13}{x -1} = \frac{4-13}{-2-1}\\ \\\frac{y-13}{x-1} = \frac{-9}{-3}\\\\ -3(y-13)=-9(x-1)\\\\-3y +39 =-9x +9\\\\-3y =-9x+9-39\\\\-3y =-9x -30\\\\\frac{-3y}{-3} = \frac{-9x}{-3} - \frac{30}{-3} \\\\y = 3x+10[/tex]

Answer:

 y - 4 = 3 ( x + 2 )

Step-by-step explanation:

so ,

( 1 , 13 )   and    ( - 2 , 4 )

x1   y1                 x2   y2

formulae of slope m is y2-y1

                                     over

                                     x2-x1

4-13

  /

-2-1

-9/-3

therefore m=3

now to get the equation of line is

y-y1=m(x-x1)

y - 13 = 3 ( x -  1 )

y - 13 = 3 x - 3

y = 3 x - 3 + 13

y = 3 x + 10

y - 4 = 3 x + 6

y - 4 = 3 ( x + 2

I will give brainliest Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 7,550 pounds of fish?

Answers

(7,550 - 5,000) / 850 = 3 standard deviations.

The percentage could vary depending on the bell curve diagram your professor uses. I was taught that anything more than 3 standard deviations is 0.15%. So, only about 0.15% of blue whales eat more than 7,550lbs of fish.

Answer:

the answer is 0.15 percent, give the person above me brainlyest for helping!

Step-by-step explanation:

Linear equation

4X-12+3x+9

Answers

Steps to solve:

4x - 12 + 3x + 9

~Combine like terms

(4x + 3x) + (-12 + 9)

~Simplify

7x - 3

Best of Luck!

Answer:

X = 3/7

Step-by-step explanation:

4X - 12 + 3X + 9 = 0 (separate them)

4X + 3X = 12 - 9 (add)

7X = 3 (divide 7 on both sides)

X = 3/7

Please help marking as brainliest ndbi brought 16 packages of blueberries for 48. how many packages can jacob buy if he has $12.

Answers

Answer:

4 packages

Step-by-step explanation:

ndbi bought 16 packages of blueberries for $48, which means he bought 1 package for $3 because 48 / 16 = 3.

jacob has $12, so he can buy 4 packages of blueberries because 12 / 3 = 4.

Determine whether the study is an observational study of an experiment. Explain.
In a survey of 1117 adults in a country, 54% said the country's leader should release all medical information that might affect their ability to serve The study is_____because it____a treatment to the adults.

Answers

Answer: Observational ; does not

Step-by-step explanation: The main distinguishing factor between an experimental study and an observational study lies in the administration of treatment to the participant of the study. In experimental study, some or all the participant in the study are subjected or exposed to a certain treatment and their response to such treatment. ON THE OTHER HAND, Observational study is usually employed when there is a need to gather information on a particular subject matter without directly influencing the participants. In the scenario above, participants were not given any TREATMENT as they were only required to gather information and not to measure the effect of a treatment.

A single-payment loan of $5,955. Interest rate of 8.75 percent. Days of ordinary
interest: 42. Round to the nearest hundredth. What is the interest owed? What is the maturity value?

Answers

Answer:

interest owned = PTR/100

                          = 5955*(42/365)*8.75/100 =59.96

maturity value = 5955+59.96=6054.96

Step-by-step explanation:

!SUBSTITUTION METHOD!

6y - 5z = -8
3z = -6
4x - 3y - 2z= 21​

Answers

Answer:

x = 2 y = - 3z = - 2

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

First solve for z in Equation 2

That's

3z = - 6

Divide both sides by 3

z = - 2

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

y = - 3

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

x = 2

So the solutions are

x = 2 y = - 3z = - 2

Hope this helps you

Other Questions
You resurrected an old worksheet. It appears to contain most of the information that you need, but not all of it. Which step should you take next?a) Check for data you have previously hidden.b) Make the columns wider.c) Check that the worksheet is not Read-Only.d) Change the format to reduce the font size. ionic bonds occur between? which expression can be used to find the surface area of the following square pyramid Put the verbs into the Past Continuous. (Poner los verbos en Pasado Continuo). 1. When I phoned my friends, they ............................................. (play) monopoly. 2. Yesterday at six I ........................................................... (prepare) dinner. 3. The kids....................................... (play) in the garden when it suddenly began to rain. 4. I .............................................(practice) the guitar when he came home. 5. We ...............................................................(not / cycle) all day. 6. While Alan .......................................................(work) in his room, his friends ............................................................... (swim) in the pool. 7. I tried to tell them the truth but they .................................................... (not / listen) 8. Most of the time we .....................................................................(sit) in the park. 9. I .............................................................. (listen) to the radio while my sister (watch) ................................................ TV. 10. When I arrived, they ...................................................(play) cards. How you could use the scientific method to learn whether water really does take longer to boil if you are watching it. please someone help me with this :,,,,,,) Solve the equation for the specified variable.S = BC-9, for BB =Algebra 1 btw Please help Im not getting the right answer Which detail from Passage 2 MOSTCLOSELY reflects the information in passage 1"The legion did not have to wonder what thefuture held-war or peace-for long.""The Rubicon was narrower than Magnus andLucius, knowing its significance, hadimagined."from Readings in Ancient History,The Crossing of the Rubiconby William Stearns Davis"Magnus and Lucius matched the pace of theirfellow soldiers, knowing that each stepbrought them closer to the banks of theRubicon.""With one blast he commanded his men toaccompany him to the other side of the river,where they would emerge into the greatunknown. The first of the Four Noble Truths states that suffering is caused by greed. ending worldly desires will end suffering. life is either physical or emotional suffering. enlightenment is attained through the Eightfold Path. How did Indias geographic location impact the success of the Gupta Empire? 4. deportes practicas? What is the meaning of the word offense as it is used in the firstparagraph?A) to make sadB)to make warC) to make happyD) to make angry Calculate the volume of a sample of mercury with a density of 14.6 g/mL and a mass of 1.00 g. The answer is assumed to be in mL. Please include a numeric value only with significant figures What is the answer to x - 3 = -10 A 30V battery maintains a current through a 10 Resistor. What is the current flow through the resistor? Marissa is traveling in Great Britain and is surprised when the server brings her cookies when she ordered biscuits for breakfast. What communication concept best explains the mix-up?A. Communication is symbolic.B. Communication is relational.C. Communication is a process.D. More communication is always better. Factorise : [tex] \sf{ {x}^{2} - 4x - 21 + 10y - {y}^{2} }[/tex]Show workings too! solve 3(2d-1)-2d=4(d-2)+5 Bats have oversized years which help the bats you sound waves to detect the motion of their prey which example of the characteristics of life is most similar