Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

Answers

Answer 1

f(x) = (x - 2)(x -3)(x - 5)

Answer 2

Answer:

sample response: None of the roots can have multiplicity because the polynomial is cubic and 3 roots are given. Write each root as a linear factor, then multiply the three factors to get the expression for the function.

Step-by-step explanation:

Related Questions

The following stem-and-leaf plot represents the scores earned by Mr. Roberts's class on their most recent science test.

What is the median of the scores?
78
80
81
86

Answers

The median of {78, 80, 81, 86} is the average of the middle two scores, 80.5.

_____
For the picture, ...

There are 7 scores above the row with stem=8, and 7 scores below that row. Thus the middle score will be the middle score of the row with stem 8.

The median of the scores in the figure is 81.

Answer:

Step-by-step explanation:

The equation of straight lines L1 And L2 are .....
see the photo

Answers

Very interesting and inspiring problem. Wish there are more of these.

First, we know that a possible equation of L2 is y=1, then c=-1 => -y=-1 or y=1.
Of course, c could be just any negative number so that L2 lies above the x-axis.
=> c<0 ..........................................(III) is true

Next, we note that L1 has a negative intercept, that meant that when x=0, y<0. Go back to the original equation
ax+by=-1 => when x=0, by=-1, so b>0 in order for y to be negative. So
b>0.
We already know that c<0, so
b>c .....................................................................(II) is true

Further, we note that L2 has a negative slope. From the definition of slope, m, where m=-a/b
=>
m=-a/b<0 => a/b>0.
We already know that b>0, so for a/b>0, a>0. Therefore
a>0 ...................................................................(I) is true

So we have established the truth values of (I), (II) and (III).
It will be up to you to select the answer choices.

Do check and understand all the arguments. If in doubt, please post your queries.

IMPORTANT

[how do you]Find sin theta if tan theta = 3/4

Answers

[tex]\bf tan(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{adjacent}{4}}\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{3^2+4^2}\implies c=5 \\\\\\ sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{hypotenuse}{5}}[/tex]

bear in mind that, though the square has two valid roots, one negative and one positive, the hypotenuse is just a radius distance, and therefore is never negative.

For Anya's birthday her father gave out colorful birthday hats that were cone shaped. The opening of the bottom of the hat was 3 cm and the height of the cone was 7 cm. Anya fills her hat with candy. What is the exact volume of candy?

J. 65.97 cubic centimeters

K. 20.36 cubic centimeters

L. 16.49 cubic centimeters

M. 56.48 cubic centimeters

Answers

Formula
V = (1/3) pi * r^2 h

pi = 3.14
d = 3 cm. (very small)
r = d/2 = 3/2 = 1.5 cm
h = 7 cm

V= (1/3) 3.14 * 1.5^2 * 7
V = 1.04 * 1.5^2 * 7
V = 16.485 cm^3

L <<<<==== answer.

Answer:

Step-by-step explanation:

For the florist problem you would do 6 assistance

Find the general solution of the differential equation x^2y′′+xy′−y=2x for x>0 by first showing that the function yp=−12x+x ln(x)is a particular solution for the differential equation.

Answers

[tex]x^2y''+xy'-y &=2x\\ x^2y''+2xy'-xy'-y &=2x\\ (x^2y')'-(xy)' &=2x\\ (x^2y'-xy)' &=2x\\ x^2y'-xy &=x^2+C_1\\ xy'-y &=x+\frac{C_1}{x}\\ x^2\left(\frac{y}{x}\right)' &=x+\frac{C_1}{x}\\ \left(\frac{y}{x}\right)' &=\frac{1}{x}+\frac{C_1}{x^3}\\ \frac{y}{x} &=\ln{x}-\frac{C_1}{2x^2}+C_2\\ y &=x\ln{x}-\frac{C_1}{2x}+C_2x[/tex]

find the surface area of the composite solid round your answer to the nearest tenth and explain your answer

Answers

I did most of it for you-
Volume of the cone is 13.1
Volume of the cylinder is 18.9
Now, you just subtract two of the flat circular surfaces, because the two shapes are attached, therefore those parts are not surface area. And there is your answer.

The surface area is calculated based on the surfaces which are visible from the outside. In this case, you only need to calculate the surface of lateral side on the cone, the surface of lateral side on the cylinder, and the circle on the lower base of cylinder.

Write the expression to find the surface area
sa = lateral side of cone + lateral side of cylinder + circle
sa = (π × r × s) + (2 × π × r × t) + (π × r²)

Input the numbers
sa = (π × 1 × 3) + (2 × π × 1 × 2) + (π × 1²)
sa = 3π + 4π + π
sa = 8π
sa = 8 × 3.14
sa = 25.12

to the nearest tenth
sa = 25.1

The surface area of the composite solid round is 25.1 m²

Your friend asks you to help him with his snow shoveling business and will pay you 3 3 pennies for the first job. You agree to help if he triples your payment for each job completed. After 2 2 shoveling jobs, you will receive 9 9 pennies, and after 3 3 shoveling jobs, you will receive 27 27 pennies. What is the exponent?

Answers

The exponent is 3

This is how it would look
3^1 (the "^" means 'to the power of')
3^2
3^3

3^1= 3
3^2=9
3^3=27

Please the question is on the picture

Halves of the following
12
10
13
15
8
5

Answers

The question in the picture is very different from the question before the picture.

Half of 12 is ____
is a different question than
12 is ____ halves

When you say, "Halves of 12, 10, ..." it looks like you're asking the first version.

One of something is 2 halves. That is, the number of halves is exactly two times the number of "somethings." Hopefully, you can multiply each of these numbers by 2.

12*2 = 24
10*2 = 10
13*2 = 26
15*2 = 30
8*2 = 16
5*2 = 10

Write the following statement as an equation and solve. Jake Drewrey, owner of Jake's Landscape Service, knows that one of his fertilizer tanks holds four times as many gallons of liquid fertilizer as a second tank. The two tanks together hold 286 gal. If both tanks are filled to capacity, how many gallons of fertilizer does each tank hold?

Answers

Final answer:

The equation is : x + 4x = 286, where x represents the smaller tank's capacity.

Explanation:

To write the statement as an equation and solve it, let's denote the smaller tank's capacity as x gallons. Therefore, the larger tank would be 4x gallons because it holds four times as much. The problem states that together they hold 286 gallons, which gives us the equation:

x + 4x = 286

Combining like terms, we get 5x = 286. Dividing both sides of the equation by 5 to solve for x, we find:

x = 286 / 5

x = 57.2

Therefore, the smaller tank holds 57.2 gallons, and the larger tank holds 4 times that amount, which is 57.2 * 4 = 228.8 gallons.

Reduce the following fraction -32abc/64a^2bc^3

Answers

The numerator and denominator have a 32abc in common. We can reduce the fraction by factoring out this term. We are left with:

-1/(2ac^2)

Certain kinds of goods tend to have inelastic demand; a good usually has inelastic demand if what?

Answers

usually if it's an basic good, or very important one.

because the price fluctuations do not affect the quantity sold.

a good example of that would be milk, if the milk gallon is say $8, and a family needs 1 gallon daily, they buy it for $8.

if the price drops to $7, they might buy 2, but they only need 1 everyday, just in case they may get another.

if the price drops to $4 or even $3, they're not going to get 10 gallons, there's no need for it on an everyday basis, besides is a perishable.

now if the price goes up to $12, they still need it, and will buy it for $12.

A recycling box holds 151,875 cm3 of material and has a square base with sides measuring 45 cm. What is the height of the recycling box? a. 33.8 cm b. 75 cm c. 1687.5 cm d. 3375 cm

Answers

The surfaces of the bottom is 45 * 45 = 2025 cm2.

Then the height of the box is 151 875 / 2025 = 75 cm

At middle ave school 1/3 of the students are on the track team.the track coach offered to buy a pizza or subs for everyone on the team.of the students for whom the coach bought good 3/5 ordered pizza.what fraction of the students at middle ave school atenpizza

Answers

Final answer:

To determine how many students at Middle Ave School ate pizza, multiply the fraction on the track team (1/3) by those who ordered pizza (3/5), which equals 3/15 or simplified to 1/5 of the students.

Explanation:

To find out what fraction of the students at Middle Ave School ate pizza, you need to multiply the fractions that represent the students on the track team and those who ordered pizza. Initially, we know that 1/3 of the students are on the track team. Of these students, 3/5 ordered pizza. Multiplying these two fractions gives us the fraction of the entire student body that ordered pizza.

To multiply fractions, you multiply the numerators together and then the denominators together. So, for this problem, you'd multiply 1 by 3 to get the numerator, and then 3 by 5 to get the denominator:

1/3 * 3/5 = 3/15

But 3/15 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3:

3/15 = 1/5

Therefore, 1/5 of the students at Middle Ave School ate pizza.

solve for y: when 3x + 2x+3y =180

Answers

y = - 5x / 3 + 60

that's your answer!

The data in the table illustrate a linear function x -3, 0, 3, 6 y -6, -2, 2, 6 what is the slope of the linear function?

Answers

So taking (0,-2) and (-3,-6) then it is -2-(-6)/0-(-3) or 4/3

Answer:

[tex]slope=\dfrac{4}{3}[/tex]

Step-by-step explanation:

Given: The table of linear function.

x : -3 , 0 , 3, 6

y : -6 , -2 , 2, 6

Slope=change in y over change in x

[tex]slope=\dfrac{-2+6}{0+3}=\dfrac{4}{3}[/tex]

Passing point: (0,-2)

Point slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y+2=\dfrac{4}{3}(x-0)[/tex]

[tex]y=\dfrac{4}{3}x-2[/tex]

Slope of the linear function [tex]=\dfrac{4}{3}[/tex]

Linear function is [tex]y=\dfrac{4}{3}x-2[/tex]

Hence, The slope of linear function is [tex]\dfrac{4}{3}[/tex]

Give a big-o estimate for the number of operations (where an operation is an addition or a multiplication) used in this segment of an algorithm. t := 0 for i := 1to3 for j := 1to4 t := t + ij

Answers

We have a "rectangular" double loop, meaning that both loops go to completion.
So there are 3*4=12 executions of t:=t+ij.

Assuming two operatiions per execution of the innermost loop, (i.e. ignoring the implied additions in increment of subscripts), we have 12*2=24 operations in all.

Here the number of operations (+ or *) is exactly known (=24).

Big-O estimates are used for cases with a varying scale of operations, governed by a variable (usually n) to indicate the sensitivity of the number of operations relative to a change in the size of n.

Here we do not have a scale, nor n is defined. The number of operations is constant and known at 24. So a variable is required to find the big-O estimate.

You run around the perimeter of a baseball field at a rate of at least 11 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field?

Answers

1) we have to calculate the lenght of the baseball field.
perimeter of the baseball field=2(radius)+lenght of a semicircle.
2(radius)=2(175 ft)=350 ftlenght of a semicircle=40% of a circumference=(40/100)(2πr)
Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)==350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,

2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.
10 ft------------------------1 second789,82 ft----------------- x
x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s

Answer: 79 seconds.

PLEASE MARK ME AS THE BRAINLEIST

The correct answer for your question is 79 seconds.

What is the volume of this triangular pyramid?

Answers

V = (1/3)Bh = (1/3)*(1/2)(3 m)(4 m)*(6 m)
.. = 12 m^3

A company sells boxes that are 2 3/8 feet high, 3 5/8 feet long, and 1 7/8 feet wide. John has a storage room that is 8 feet wide, 10 feet deep, and 12 feet high. You may rotate the boxes so that the width and length are interchanged, but the boxes may not be laid on their sides. a. What is the maximum number of boxes that he may stack on top of one another? b. How much room will there be left between the top of the stack of boxes and the ceiling?

Answers

a) (12 ft)/(2 3/8 ft) = 5 1/19

The maximum height of a stack of boxes is 5 boxes.

b) (1/19)*(2 3/8 ft) = 1/8 ft is the room left at the top of the stack.

If mc019-1.jpg and n(x) = x – 3, which function has the same domain as mc019-2.jpg?

Answers

We know that m o n(x) = m(n(x))

This means

       (x-3) + 5 x+2
m(n(x)) =  ------------- = --------
   (x-3) -1 x-4

The domain of this function is all real numbers - {4}

The function with the same domain is h(x) = 11/x-4

Answer:

It's C to save you time.

Step-by-step explanation:

Sabah has $450 to pay for college textbooks. She expects to pay about $75 per book. Her friend told her that 4 of them can be checked out of the library for free.

Complete the equation below to find the total number of books that Sabah can get for her classes. Use b to represent the total books.

Answers

450 is the total amount of money and it is divided by 75 to get the total number of books possible under that amount per book. The reason four is added is that it is stated that four of the books necessary are to be taken from a library for free. Therefore, when solved, b is equal to 10

A pack of six cans of coffee cost 12$ . How much would 15 cans of coffee cost

Answers

$30 because 12/6 = 2 so 15 x 2 = 30

The cost for 15 cans of coffee is found by first determining the cost per single can, which is $2, and then multiplying this cost by the number of cans, resulting in a total of $30 for 15 cans.

To calculate the cost of 15 cans of coffee when a pack of six cans costs $12, we first need to find the cost of a single can. To do this, we divide the cost of the pack by the number of cans in the pack:

Cost per can = Total cost of the pack / Number of cans in the pack

Cost per can = $12 / 6 = $2

Now that we know the cost of one can, we can calculate the cost for 15 cans:

Total cost for 15 cans = Cost per can * Number of cans

Total cost for 15 cans = $2 * 15 = $30

Giving brainiest with legit answer is my answers correct?

Answers

yes, this is all correct!

(Will give Brainliest/5 stars for correct answer)

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.

B = 46°, a = 12, b = 11

A) A = 38.3°, C = 95.7°, c = 8; A = 141.7°, C = 84.3°, c = 8
B) A = 51.7°, C = 82.3°, c = 8; A = 128.3°, C = 5.7°, c = 8
C) A = 38.3°, C = 95.7°, c = 15.2; A = 141.7°, C = 84.3°, c = 15.2
D) A = 51.7°, C = 82.3°, c = 15.2; A = 128.3°, C = 5.7°, c = 1.5

Answers

By asking on Brainly, you clearly don't care how you get the answer.

The part of interest is the law of sines tells you
.. A = arcsin((12/11)*sin(46°)) = 51.7° . . . or . . . 180°-51.7° = 128.3°
.. c = 11*sin(82.3°)/sin(46°) ≈ 15.2 . . . or . . . sin(5.7°)/sin(46°) ≈ 1.5

Selection D is appropriate.

Tony is building a dog house, and the front view of the roof is shown below

Answers

Answer:

The height is 21 inches.

Step-by-step explanation:

We can find the height by using Pythagoras theorem.

As we know it is an isosceles triangle. So, the base can be divided equally in 2 parts for both triangles.

So, we can take the hypotenuse as 29 inches and base as 20 inches.

Now applying Pythagoras theorem, we get;

[tex]29^{2} =20^{2} +x^{2}[/tex]

[tex]841=400+x^{2}[/tex]

=>[tex]841-400=x^{2}[/tex]

=>[tex]x^{2} =441[/tex]

[tex]x=\sqrt{441}[/tex]

x=[tex]\sqrt{3*7*3*7}[/tex]

=> [tex]x=21[/tex]

Hence, the height is 21 inches.

What is the period of the function y = 3 csc x?

Answers

since csc(x) is the reciprocal identity of sin(x), they both have the same period, and since sin(x) has a period of 2π, so does csc(x).

The period of the function is 2π.

What is period of the function?

The time interval between two waves is known as a Period whereas a function that repeats its values at regular intervals or periods is known as a Periodic Function.

Given:

y = 3 csc x

As, csc(x) carry the reciprocal identity of sin(x).

So, they both have the same period

The period of sin(x) is 2π.

Hence, the period of csc(x) is 2π.

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1. You are visiting Baltimore, MD and a taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile.

A. Write an equation that you could use to find the cost of the taxi ride in Baltimore, MD. Let x represent the number of. miles and y represent the total cost.
B. How much would a taxi ride for 8 miles cost?
C. If a taxi ride cost $15, how many miles did the taxi travel?

Answers

A) y=0.75X+3.00

B) $9.00

C) 16 miles

hope that helps

Answers to all parts are as follows -

The equation to find the cost will be y(x) = 0.75x + 3 For 8 miles of travel, the total cost would be $9.For a total fare of $15, we can ride for 16 miles.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile.

PART - A

Assume that [x] represent the number of miles and [y] represent the total cost. Therefore, the equation that you could use to find the cost of the taxi ride in Baltimore can be written as-

y(x) = 0.75x + 3

y(x) = 3x/4 + 3

PART - B

For [x] = 8 miles, the total cost will be -

y(8) = (3 x 8)/4 + 3

y(8) = 6 + 3

y(8) = 9

For 8 miles of travel, the total cost would be $9.

PART - C

For a total fare of $15 -

15 = 3x/4 + 3

12 = 3x/4

x = (12 x 4)/3

x = 16

For a total fare of $15, we can ride for 16 miles.

Therefore -

The equation to find the cost will be y(x) = 0.75x + 3 For 8 miles of travel, the total cost would be $9.For a total fare of $15, we can ride for 16 miles.

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last year, a married couple had their first child. should they file their federal income tax return using the 1040EZ form instead of the 1040 form?

A. No, partly because they will be able to claim a dependent.
B. No, partly because they will not be able to claim a dependent
C. Yes, partly because they will not be able to claim a dependent.
D. Yes, partly because they will be able to claim a dependent.

Answers

Answer:

Step-by-step explanation:

Apex just did the quiz:))

Option A is correct, No, partly because they will be able to claim a dependent.

What is Income tax?

An income tax is a tax imposed on individuals or entities in respect of the income or profits earned by them. Income tax generally is computed as the product of a tax rate times the taxable income.

Having a dependent usually makes the 1040EZ form insufficient for most taxpayers, as the 1040EZ form is only recommended for those with simple tax situations.

In this case, the couple can claim their dependent as a tax credit, which is not possible on the 1040EZ form.

They should file a 1040 or 1040-SR form instead.

Hence, Option A is correct, No, partly because they will be able to claim a dependent.

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Ms.jones has a decorative pyramid that sits on her fireplace mantle .the base is an equilateral triangle with an area of 6 square inches. The height of the pyramid is 15 inches. What is the volume?

Answers

The volume is given by
.. V = (1/3)Bh
Fill in the given values and do the arithmetic.
.. V = (1/3)(6 in^2)*(15 in)
.. V = 30 in^3

The volume is 30 cubic inches.

Final answer:

To find the volume of Ms. Jones's pyramid with an equilateral triangle base area of 6 square inches and a height of 15 inches, we use the volume formula for a pyramid, V = [tex]\frac{1}{3}[/tex] × base area × height, resulting in a volume of 30 cubic inches.

Explanation:

To calculate the volume of the pyramid, we use the formula for the volume of a pyramid which is V = [tex]\frac{1}{3}[/tex] × base area × height. The base of Ms. Jones's decorative pyramid is an equilateral triangle with an area of 6 square inches, and the pyramid's height is 15 inches. First, we need to find the volume using the given base area and height.

Substituting the values into the formula, we get:

V = [tex]\frac{1}{3}[/tex] × 6 in² × 15 in

V = 2 in² × 15 in

V = 30 in³

Therefore, the volume of Ms. Jones's pyramid is 30 cubic inches.

Find the length of the chord of a circle of radius 100 feet subtended by an angle of 75◦ ?

Answers

1. By definition, the chord of a circle is a segment that joins the two points of an arch and if it passes through the center of the circle, is called "diameter". There is a formula that you can use to find the chord lenght. This is:

Chord lenght=2rSin(A/2)

2. Let's convert the angle from degrees to radians:

75°π/180°=5π/12

3. So, you have:

r: It is the radius of the circle (r=100 feet).
Sin: It is the sine function.
A: It is the angle subtended at the center by the chord (A=5π/12).

4. When you substitute these values into the formula (Chord lenght=2rSin(A/2)), you obtain the chord lenght:

Chord lenght=2rSin(A/2)
Chord lenght=2(200 feet)(Sin(5π/12/2))

5. Therefore lenght of the chord is:
Chord lenght=18.2706 feet

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