If the cubic function P(x) includes the points (−4, 0), (0, 0), and (2, 0), which of the following represents this function?

Answers

Answer 1
Final answer:

The function cannot be determined with the given information.

Explanation:

The given points (-4, 0), (0, 0), and (2, 0) indicate that the function is a cubic function with three real roots. A cubic function is of the form P(x) = ax^3 + bx^2 + cx + d. Since the function passes through the x-axis at (-4, 0), (0, 0), and (2, 0), the roots of the cubic function are -4, 0, and 2. Therefore, the function can be written as P(x) = a(x + 4)(x - 0)(x - 2). However, since a cubic function with three real roots has an odd degree, the coefficient 'a' must be negative or positive. This means that the function can also be written as P(x) = -a(x + 4)(x - 0)(x - 2) or P(x) = a(x + 4)(x - 0)(x - 2). So, the correct representation of the function cannot be determined with the given information.


Related Questions

From a sample with nequals=1616​, the mean number of televisions per household is 22 with a standard deviation of 11 television. using​ chebychev's theorem, determine at least how many of the households have between 00 and 44 televisions.

Answers

Chebyshev's inequality:
For a wide class of distributions, no more than [tex]\frac{1}{k^2}[/tex] of the values can be outside of k standard deviations of the mean.

Here, 
n = 16
μ = 2
σ = 1
range iin question = 0 to 4 [tex]=2\pm2=\mu\pm\sigma[/tex]
=> k=2
[tex]\frac{1}{k^2}=\frac{1}{4}[/tex]
meaning that at most 1/4 of the sample is outside the given range, or 3/4 of the sample= (3/4)*16 =12 is within the given range of 0 to 4 televisions.

Answer: at least 12 out of 16 households have between 0 to 4 televisions, according to the Chebyshev's inequality.

Which statements are true regarding quadrilateral ABCD? Check all that apply.
ABCD has congruent diagonals.
ABCD is a rhombus.
ABCD is not a rectangle.
ABCD is not a parallelogram.
ABCD has four congruent angles.

Answers

The statements that are true regarding quadrilateral ABCD include:

ABCD has congruent diagonals.ABCD is a rhombus.ABCD has four congruent angles

Based on the information given, ABCD has congruent diagonals and can be treated as a rhombus. This is because it's a regular quadrilateral.

It should be noted that ABCD can be treated as a rectangle and a parallelogram as well.

In conclusion, the correct options are 1, 2, and 5.

Read related link on:

https://brainly.com/question/8807196

PLEASE HELP!! WILL GIVE BRAINLIEST!!

Question 3: The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles

Part A: What is the area, in square feet, of the shaded region?

Part B: What is the area, in square feet, of the nonshaded region?

Answers

Area of part 1:A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2Area of part 2:A2=length*width=(8+2)*1=10 ft2Area of part 3:A3=length*width=8*2=16 ft2
Total shaded area : A1+A2+A3=41 ft2Total area of the reactangle : A=16*8=128 ft2Total area of the nonshaded region : 128-41=87 ft2

You are given a square ABCD, and midpoints M and N are marked on BC and CD, respectively. Draw AM and BN, which meet at Q. Find the size of angle AQB.

Answers

Step 1: show triangles ABM and BCN are congruent
 - AB=BC  (sides of square)
 - BM=CN (half sides of square)
 - angle B = angle C (adjacent sides of square are perpendicular)
 => triangles ABM and BCN are congruent (SAS)

Step: find angle AQB
 - angle AQB = QMB+MBQ   (exterior angles of a triangle)
                      = BNC+MBN   (corresponding angles of congruent triangles)
                      = 90 degrees   (exterior angle of triangle BNC)

A square ABCD and midpoints M and N are marked on CB and CD, respectively. Draw AM and BN, which meet at Q. the size of angle AQB 90 degrees.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

square ABCD and midpoints M and N are marked on CB and CD, respectively. Draw AM and BN, which meet at Q.

To show triangles ABM and BNC are congruent

AB = BC  

BM = NC

angle B = angle C

Thus, triangles ABM and BNC are congruent by (SAS).

To find ∠AQB

∠AQB =∠ QMB + ∠MBQ   (exterior angles of a triangle)

        = ∠BNC + ∠MBN   (corresponding angles of congruent triangles)

       = 90 degrees   (exterior angle of triangle BNC)

Learn more about congruent triangles here:

https://brainly.com/question/16921692

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Sally has a photograph that has an area of 35 square inches. She creates 2 enlargements of the photograph. The enlargements have areas of 140 square inches and 560 square inches. In each photograph, the length is 1 2/5 times the width. Select which of thr following could be th dimensions of the original photograph or one of the enlargements. Mark all that apply

5 inches by 7 inches
20 inches by 28 inches
7 inches by 20 inches
21 inches by 15 inches
10 inches by 14 inches

Answers

The area of the photograph is:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Substituting:
 35 = (w) * (1.4w)
 35 = 1.4 * w ^ 2
 w = root (35 / 1.4)
 Dimensions of the original photograph:
 w = 5 in
 l = 1.4 * (5) = 7 in
 Dimensions of extension 1:
 
k = (140) / (35) = 4
 w = 4 * 5 = 20 in
 l = 4 * 7 = 28 in
 Dimensions of extension 2: 
 k = (560) / (35) = 16
 w = 16 * 5 = 80 in
 l = 16 * 7 = 112 in

 Answer:
 5 inches by 7 inches
 20 inches by 28 inches

The potential dimensions that could represent the original photograph and its enlargements, with the length being 1 2/5 times the width, are 5 by 7 inches for the original photograph, and 20 by 28 inches and 10 by 14 inches for the enlargements.

To find the dimensions of Sally's original photograph and the enlargements with the area having the given ratio of length to width as 1 2/5, we need to understand the relationship between the area of two similar objects and their linear dimensions. We are given that the original photograph has an area of 35 square inches, and the enlargements have areas of 140 and 560 square inches. With the length being 1 2/5 times the width in each case, we can work out the possible dimensions for these photographs.

Now, let's consider the list of dimensions provided and determine which ones correspond to an area ratio that matches the original photograph or the enlargements:

5 inches by 7 inches: This has an area of 5 x 7 = 35 square inches, so it could be the original photograph.20 inches by 28 inches: This has an area of 20 x 28 = 560 square inches, which is one of the enlargements.7 inches by 20 inches: The ratio of length to width here is not 1 2/5, so this option is not correct.21 inches by 15 inches: This does not have an area that matches either the original photograph or the enlargements and the ratio of length to width is also not 1 2/5.10 inches by 14 inches: This gives an area of 10 x 14 = 140 square inches, which matches the first enlargement.

Conclusively, only some of the dimensions given match the requirements: 5 inches by 7 inches for the original photograph, 20 inches by 28 inches and 10 inches by 14 inches for the enlargements. They adhere to the concept that the ratio of their areas equals the ratio of the squares of their linear dimensions due to scaling.

7 4/5 no nearest whole number

Answers

7.8 is the decimal version. Rounded to the nearest whole number, the answer would be 8.
7 4/5 to the nearest whole number is 8. You get this because you look at the fraction and see if it is half-way or above half-way to 8 than round it to 8, but if it's below half-way than round it down to 7.

Your answer is: 

Have an amazing day mate!

The area of a trapezoid is 20 square units. The sum of the base lengths is 10 units. What is the height of the trapezoid

Answers

Area of trapezoid  = 1/2 (sum of the base lengths) × (height)

1/2 × 10 × height = 20
5 × height = 20
height = 20/5
height = 4 units

What is the area of the composite figure whose vertices have the following coordinates? (2, −2 )(2, 1) ,(4, 2) , (6, 2) ,(4, −1)

Answers

we have that
using a graph tool

the answer is 36 units²-----------> see the attached figure with the answer

If a translation maps point (3, 2) to (4, 5); or T: (3, 2) (4, 5), then what is the image of the point (0, 0)?

Answers

Translation is a rigid transformation that moves every point on a figure by the same distance in a given direction.

On this problem is given that the point T was translate from the coordinate (3,2) to the coordinate (4,5). Meaning that the image is a translation of one unit to the right and three units up with relation to the preimage.

Point (0,0) would be translated one unit to the right and three units up.
Giving the new point or preimage, the coordinates of (1,3)

Answer:

(1,3)

Step-by-step explanation:

Naomi's fish is 40 millimeters long.her guinea pig is 25 centimeters long. How much longer is her guinea pig than her fish

Answers

Answer:

The guinea pig is 210 mm longer than Naomi's fish

or

The guinea pig is 21 cm longer than Naomi's fish

Step-by-step explanation:

Remember that

1 cm=10 mm

Convert cm to mm

guinea pig ------> 25 cm=25*10=250 mm

Subtract the length of Naomi's fish from the length of her guinea pig

so

250-40=210 mm

Convert to cm

210 mm=210/10=21 cm

lola uses 44 beads to make a bracelet and 96 beads to make a necklace.Write an expression to show how to calculate the total number of beads lola used to make 13 bracelets and 8 necklace

Answers

13*44 bracelet 96*8 necklace

In a quadrilateral, consecutive angles and opposite angles are congruent. What is the most specific name of the figure?

trapezoid
parallelogram
rectangle
rhombus

Answers

B is the answer to this question...

Answer:

Rectangle

Step-by-step explanation:

I got it wrong so i know this is the correct one

Best Buy sold 638 iPads during the month of May for a total, including tax, of $296,963.48; what was the average cost to the consumer?

Answers

Im pretty sure that it is $465.46 as the average cost to the consumer. I just divided $296,963.48÷638 and got this answer. Hope this was helpful :D

Choose the correct simplification of the expression the quantity a to the 4th power over b to the 2nd power all raised to the 3rd power.
a to the 7th power over b to the 5th power
a to the 12th power over b to the 6th power
ab9
a12b6

Answers

Lets get started :)


a to the 4th power = a⁴
          over                              
b to the 2nd power = b²
( [tex] \frac{a^4}{b^2} [/tex] ) raised to 3rd power = ( [tex] \frac{a^4}{b^2} [/tex] )³

The power of power properties apply here
(a) 4 x 3 = 12 
(b) 2 x 3 = 6

[tex] \frac{a^1^2}{b^6} [/tex]

Your answer will be the 2nd Option 
a to the 12th power over b to the 6th power
Your answer will be the second choice.

Your promotional budget for this year is $200 for personal selling, $400 for sales promotion, $1000 for advertising, and $700 for image promotion. What is your total promotion budget for this year?

Answers


[tex]1000 + 700 + 400 + 200 = 2300[/tex]

Budget for personal selling =$200

Budget for sales promotion = $400

Budget for advertising =$1000

Budget for image promotion =$700

Total Budget =Adding all the values = 200 +400+1000 +700 = 2300

So total promotion budget for this year is $2300

How can you tell if a binomial divides evenly into a polynomial?

Answers

Im not super sure how you can tell if a binomial divides evenly into a polynomial, but put that on Google and go to the Quizlet. It always has answers. Good luck!

Answer:

The remainder is 0

Step-by-step explanation:

A number divides evenly with another number if and only if the remainder is 0. This applies to all numbers and equations including binomials and polynomials. Anytime there is a remainder in a division it means that the denominator does not fit evenly anymore into the numerator.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

A large tank is filled to capacity with 400 gallons of pure water. brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t. a(t) = lb

Answers

Final answer:

The student's question involves setting up and solving a differential equation for the amount of salt in a tank where brine is added and mixed solution is removed at constant rates.

Explanation:

The problem is related to a differential equation modeling the amount of salt in a tank of water where the concentration changes over time. We are given a tank with an initial volume of 400 gallons of pure water. Brine with 3 pounds of salt per gallon is added at a rate of 4 gallons per minute, and the well-mixed solution leaves the tank at the same rate.

To find the number of pounds of salt a(t) in the tank at any time t, we can set up a differential equation based on the rates of salt entering and leaving the tank:

[tex]\(\frac{dA}{dt} = rate_{in} - rate_{out}\)[/tex]

Where A represents the amount of salt in the tank, \(rate_{in}\) is the rate at which salt enters the tank, and \(rate_{out}\) is the rate at which salt leaves the tank.

[tex]\(rate_{in} = 3 pounds/gallon \times 4 gallons/minute = 12 pounds/minute\)[/tex]

[tex]\(rate_{out} = \frac{A(t)}{400} \times 4 gallons/minute = \frac{A(t)}{100} pounds/minute\),[/tex] since the concentration of salt leaving is[tex]\(\frac{A(t)}{400}\) pounds/gallon.[/tex]

The differential equation becomes:

[tex]\(\frac{dA}{dt} = 12 - \frac{A}{100}\)[/tex]

This equation can be solved using the separation of variables or an integrating factor method, depending on the student's level of mathematical knowledge.

Find the supplement of an angle of 126 degrees

Answers

to find the supplement angle take 180 and subtract the 126 and that gives you 54 degrees which will be the supplement angle
o find the supplement angle take 180 and subtract the 126 and that gives you 54 degrees which will be the supplement angle

Please help me with question 15 ASAP

Answers

To go from A to A ', we shift 6 units to the right. Put another way, shift every point that makes up figure A and you get to figure A '. 

In terms of coordinate geometry, we're adding 6 to each x coordinate. The y coordinate stays the same. 

What is the mean of 25, 15, 18, 20, 87, 13, 18, 8, 22, 14

Answers

24. To find the mean add all of the numbers and divide the sum by the number of digits you added. Meaning that you would add 25, 15, 18, 20, 87, 13, 8, 22, and 14 which is 240 and divide that by 10 since there are 10 numbers. Hope that this helped, have a blessed day :)
25 + 15 + 18 + 20 + 87 + 13 + 18 + 8 = 204

204 / 8 = 25.5

Hope this helps!

Which question is statistical?

A.How many of each species of butterflies did you see on your camping trip?

B.How many different species of butterflies are there in the world?

C.How many Monarch butterflies migrated south this year?

D.How many Monarch butterflies live in the state park?

Answers

I thinks its B




p.s. spread le cheese ⌂

Answer:

A

Step-by-step explanation:

What is the factorization of the trinomial below? x^2 -7x + 6 answers?

Answers

Answer:

(x-6)(x-1)

Step-by-step explanation:

this is the correct answer on ape x

Answer:

(x-6)(x-1)

Step-by-step explanation:

Jeanne thinks that x+x is the same as x•x. Is this true? Why? Why not?

Answers

generally, x • x is accepted to mean "x times x" or "x multiplied by x"

and x+x means "x plus x" or "x added to x"

let's try by subsituting numbers for them
if we can find one case where the statement "x+x is the same as x•x" is false, then it is not true


let's try x=4
x+x=x•x
4+4=4•4
8=16
false



so it is not true
(x+x is equal to 2x, so therefor if we were to solve 2x=x•x, we would get that it is only true for x=2 and x=0)

it is not always true

It depends on the number. Generally, it is false, expect in a few certain cases, such as 2 for example, as:

2 + 2 = 4

2 x 2 = 4

however, most other numbers do not work, such as, for example, 5

5 + 5 = 10

5 x 5 = 25

So it really depends on what "x" is.

hope this helps

tevin is 202 years old Catherine is 30 years old how many years until Tevin age is 5 * Katherine's age

Answers

that time is x

tevin+x = 5 times (catherine+x)

202+x=5(30+x)
distribute
202+x=150+5x
minus x both sides
202=150+4x
minus 150 both sides
52=4x
divide both sides by 5
13=x

in 13 years

To find out how many years until Tevin's age is 5 times Katherine's age, we set up an equation and solve for x, finding that it will take 13 years.

The question is asking us to find out how many years until Tevin's age is 5 times Katherine's age. Let's denote the number of years until this happens as 'x'.

Currently, Tevin is 202 and Katherine is 30.

In x years, Tevin will be 202 + x years old and Catherine will be 30 + x.

Therefore, we want to find x such that:

202 + x = 5(30 + x)

This can be solved as follows:

202 + x = 150 + 5x

Now, we subtract 5x from both sides:

202 - 4x = 150

Subtract 202 from both sides:

-4x = -52

Divide by -4:

x = 13

Therefore, it will take 13 years for Tevin's age to be 5 times Katherine's age.

a taxi cost $1.65 for the 1st Mile and $0.85 for each additional mile. Which equation could be solved to find the number x of additional miles traveled in the taxi given that the total cost of the trip is $20?

Answers

x = additional mile

0.85x + 1.65 = 20

to solve it:
subtract 1.65 from both sides. afterwards, divide both sides by 0.85 to find x!

A 9-pound bag of lollipops costs $12.04. What is the unit price, rounded to the nearest cent?

Answers

1.34 dollars per pound t t t t t t t t t t t t t

I think it's $1.34 per lolipop

Mr. Fry is building a fence around his pool. •Length of the fence is 60 feet. •Width of the fence is 30 feet. How many yards of fence will Mr. Fry build? A) 30 yards B) 60 yards C) 90 yards D) 540 yards i need help!!!!!!!!!

Answers

Mr. Fry will need 60 yards of fencing to encircle his pool, as the perimeter of the rectangular pool area is 180 feet and there are 3 feet in a yard.

To determine the total amount of fencing Mr. Fry will need, we calculate the perimeter of the rectangular area around the pool. The perimeter can be found by doubling the length then adding this to double the width. Therefore:

Perimeter = 2× Length + 2× Wid
= 2 × 60 feet + 2 × 30 feet
= 120 feet + 60 feet
= 180 feet

Now, knowing that 1 yard equals 3 feet, we can convert feet into yards:

Yards = Feet ÷ 3
= 180 feet ÷ 3
= 60 yards

Hence, Mr. Fry will need 60 yards of fence for his pool.

To determine the number of yards of fence Mr. Fry will build, we calculate the perimeter of the rectangular area (2 x (60 + 30) feet = 180 feet) and then convert it to yards (180 feet / 3 = 60 yards).

Mr. Fry is building a fence around his pool and wants to know how many yards of fence he will need. The fence has a length of 60 feet and a width of 30 feet. To find the total length of the fence in yards, we first calculate the perimeter of the rectangular fence which is 2 x (length + width). So, the perimeter in feet is 2 x (60 + 30) = 180 feet. Since 1 yard is equal to 3 feet, we divide the total number of feet by 3 to get the measurement in yards: 180 feet / 3 = 60 yards. Therefore, Mr. Fry will build 60 yards of fence.

Harry says that 1/4+1/8=2/8. jane says 1/4+1/8=3/8.whose answer make sense and whose amswer is nonsense? exolain your resoning. draw a model to help.

Answers

Jane is correct.

Work:

1/4 = 2/8
So 1/8 + 2/8 = 3/8

Henry is incorrect.

PLEASE HELP!!! LAST QUESTION
Which of the following is the equation of a line that passes through the points (2,5) and (4,3)

A. y= -2x+5

B. y= 2x+5

C. y= -x+7

D. y= x+7

Answers

the answer is c, or y= -x+7
The answer is C. y= -x+7
To get this answer, I just substituted the x values of the given coordinates in each of the equations to see which one would produce the given y values. y= -x+7 works because:
5= (-2)+7
3= (-4)+7

Find the intersection of the two planes with equations 5(x − 1) + 2y + (z + 1) = 0 and (x − 1) + 7y − (z + 1) = 0. (use the parameter t. enter your answers as a comma-separated list of equations.)

Answers

Given:
P1: 5(x-1)+2y+1(z+1)=0
P2: 1(x-1)+7y-1(z+1)=0
Need the intersection of the planes P1 and P2 (a line)

By inspection of the equations, 
normal to P1: N1<5,2,1>
normal to P2: N2<1,7,-1>
Direction vector, V, of the required line is the cross product of P1 & P2:
   i  j   k
  5 2  1
  1 7 -1
=V<-9, 6, 33>

Since P1 passes through point (1,0,-1), the parametric equation of the required line is <1-9t, 0+6t, -1+33t>

L: 
Final answer:

The intersection of two planes can be found by solving the system of equations formed by the equations of the planes. In this case, the intersection is given by the equations x = (4 - 9y) / 6, y = y, and z = -3 - (23y/6), where y can be any real number.

Explanation:

The intersection of two planes can be found by solving the system of equations formed by the equations of the planes.

To find the intersection, we can set the two equations equal to each other and solve for x, y, and z.

Rewrite the equations in standard form: 5x - 5 + 2y + z + 1 = 0 and x - 1 + 7y - z - 1 = 0Add the equations together: 6x + 9y = 4Solve for x in terms of y: x = (4 - 9y) / 6Substitute the value of x into one of the original equations to solve for z: 5((4 - 9y) / 6 - 1) + 2y + (z + 1) = 0Simplify and solve for z: z = -3 - (23y/6)

Therefore, the intersection of the two planes is given by the equations x = (4 - 9y) / 6, y = y, and z = -3 - (23y/6), where y can be any real number.

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Which statement best describes the electrons in this illustration ? A) The electrons are negatively charged particles located outside the nucleusB) The electrons are positively charged particles located inside the nucleusC) The electrons are negatively charged particles located inside the nucleusD) The electrons are positively charged particles located outside the nucleusPlease help according to the photo I attached. The correct answer will be rewarded! Thanks. The immune system of humans may respond to chemicals on the surface of an invading organism by Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want an ice cream party, 7 want a movie party, 10 want a costume party, and the rest are undecided. If 20% , percent want an ice cream party, how many students are in the class? shall or will: this summer eva has traveled to new mexico 300 mg of medication needs to be prepared for a patient and the instructions indicate that 10 mL of sterile water should be added for a single-dose use via injection. What is the final strength of this medication in milligrams? A. 30 mg B. 0.3 mg C. 3 mg D. 0.03 mg Two or more velocities add by ____?Plz help Look closely at the image below which of the images shows two point perspective why does 16 to the power of 0 equal 1? Which of the following do not require enzymes to break them down to smaller units before being absorbed? The plant life cycle has mitosis occurring in spores, produced by meiosis, that germinate into the gametophyte phase.A.true B.False Select the point that satisfies y x2 - 3x + 2. A.(3, 3) B.(4, 4) C.(2, 2) D.(1, 1) If you were standing under the tree which object would appear to be moving Which of the following is an example of a secondary source? A. a history textbook B. a photograph C. a survey D. an interview . Ms. Johnson, a circus ringleader, made a cake in the shape of a circus tent to use as the centerpiece at a celebration. As shown in the illustration, the cake consists of a cylinder and a cone. The height of the cone is one-half the height of the cylinder. The volume of the cylinder is 3 1470 in . The diameter of the cylinder is 12 in. What is the volume of the circus tent cake? Use 3.14 for . Round to the nearest hundredth.Ms. Johnson wants all the circus employees to have miniature cakes in the shape of either a circus ball or aclown hat. She wants the clown hat dessert and the circus ball dessert to have equal volumes. The radius ofboth cake pieces will be 3 in. What must the height of the clown hat cake be for the two cakes to be equal involume? Round to the nearest hundredth if necessary. Explain or show your work. How many ways are there to choose eight coins from a piggy bank containing 100 identical pennies and 80 identical nickels? 1. What is the area of this figure?Enter your answer in the box.? cm2. What is the measure of angle x?Enter your answer in the box.x = Johnson's "Great Society" consisted of what does this mean:r( with an r next to it) In pea plants, yellow seeds (y) are dominant to green seeds (y) and round seeds (r) are dominant to wrinkled seeds (r). the genes for seed color and seed shape are on different chromosomes. two true-breeding parents, one with yellow round peas and the other with green wrinkled peas, are crossed. what are the genotypes of the parents, and what kind of gametes will they produce? WILL GIVE BRAINLIEST!!!!!! Which statement about undisturbed layers of sedimentary rock is true? A. The thickest rock is on top and the thinnest is on the bottom. B. The thinnest rock is on top and the thickest is on the bottom. C. The youngest rock is on top and the oldest is on the bottom. D. The oldest rock is on top and the youngest is on the bottom.