Given the function y = x^2- 4x, what are the zeros of the polynomial function

Answers

Answer 1

Answer:

  x = 0 and x = 4

Step-by-step explanation:

The two terms on the right have x as a common factor, so the function can be factored as ...

  y = x(x -4)

The zeros are the values of x that make y = 0, so we want the solutions to ...

  0 = x(x -4)

The Zero Product Rule tells us that a product will be zero if and only if at least one factor is zero. Here, the factors are x and (x-4). They are zero when ...

  x = 0   or   x = 4  . . . . . the zeros of the function


Related Questions

Solve sin x + 2 sin x cos X = for 0°

Answers

Answer:

Step-by-step explanation:

hello :

sin x + 2 sin x cosx = 0   equivalent to : sinx(1+2cosx) =0

sinx=0 means :  general solution is  : x= kπ....k in Z

1+2cosx=0  means : cosx= -1/2 general solution is : x= ±π/6+kπ...k in Z

Final answer:

The question seems to involve solving a trigonometric equation with an incomplete equation provided. It suggests the use of trigonometric identities and basic values of sin and cos at 0 degrees to simplify and solve trigonometric equations.

Explanation:

The question appears to be incorrectly phrased or incomplete. However, it seems to involve solving a trigonometric equation involving sine and cosine functions. To approach such equations, one common strategy is to use trigonometric identities to simplify the equation.

For instance the given expression sin x + 2 sin x cos x can be simplified using the double angle identity or factoring, allowing for easier solution. Yet, without a clear equation to solve or a specific value to find, it's challenging to provide a direct answer.

Solving trigonometric equations often requires understanding basic trigonometric functions like sin 0, which is 0, and cos, which is 1 at 0 degrees. These values are fundamental and help in simplifying equations to find solutions within a given domain, typically between 0° and 360° for high school mathematics problems.

Is the equation xº -5x + 6 = 0 quadratic in form?
Explain why or why not.

Answers

Answer:

Step-by-step explanation:

No because the quadratic form is ax^2 + bx + c = 0. The equation,  xº -5x + 6 = 0, is not in quadratic form because xº is not x^2, yet the rest of the equation follows the quadratic equation template.

The mass of 2 large boxes is 16,000 g. One box has a mass of 9,000 g. What is the mass of the other box in kilograms? (1,000 g = 1 kg) 25,000 kg 7,000 kg 25 kg 7 kg

Answers

Answer:

7 kg

Step-by-step explanation:

16000g = 16kg

9000g = 9kg

16 - 9 = 7kg

Answer:

The mass of the other box=7kg

Step-by-step explanation:

Subtract 16-9, and add 3 zeros or just write kg.

Need help like now
Please and thank you

Answers

Answer:

2 1/2 because 6 - 3 1/2 is 2 1/2

Answer:

I think the answer is 2 and 1/2 or 5/2

Step-by-step explanation:

A landscape worker cares for 42 lawns in a 6-day work week. express his daily work unit rate.

Answers

Answer:

7 lawns per day

Step-by-step explanation:

42 ÷ 6 = 7

which of the following algebraic represents shows a dilation that is an enlargement ?

Answers

Answer:

D: (5/2x, 5/2y)

Step-by-step explanation:

A dilation is an enlargement only when the dilation factor > 1

Only 5/2 is greater than 1

Others are less than 1

Final answer:

Dilation is a transformation that changes the size of a figure without changing its shape. It is represented algebraically as 'y=a*x' or 'y=a*x+b', where 'a' is the scale factor. If 'a' is greater than 1, it represents an enlargement.

Explanation:

In algebra, a dilation is a transformation that changes the size of a figure without altering its shape. It can either enlarge (expansion) or reduce (contraction) a figure depending on the scale factor. If the scale factor is more than 1, the dilation is an enlargement. Any algebraic representation, such as 'y=a*x' or 'y=a*x+b' where 'a' is greater than 1, represents a dilation that is an enlargement. For instance, if we have y=2x, the '2' is the scale factor that determines the enlargement. The greater the number, the larger the image after dilation.

Learn more about Dilation in Algebra here:

https://brainly.com/question/37041700

#SPJ3

what is the value of x?

Answers

Answer:

The value of x is 40.

Step-by-step explanation:

These are vertical angles meaning that these are both the same angle. We can express this into an equation. (3x - 6) = 114, usually with an equation like this we add the 6 from (3x - 6) and also add it to 114 because whatever you do to one side of the equation you have to do to the other. Because we added 6 to (3x - 6) the 6 from there is gone and since we added 6 to 114 it is now 120 so now the equation is 3x = 120. Now we divide each side me 3 to get the value of x. 3x divided by 3 is x. 120 divided by 3 is 40. So now our equation looks like this, x=40. So this is how the value of x is 40. Let me know if it's right!!

Factor the algebraic expression

27x - 18y

Answers

Answer:9x

Step-by-step explanation: u would just do 27-18

Answer:hey there

Step-by-step explanation:

27x - 18y>9(3x-2y)>27x =3*3*3*x>-18 y=  -(3*3*2*y)here 3 and 3 is common...so it is 9hope this helps uuu

Twenty rock songs and 18 rap songs are in a disc jockey’s library. During a radio show how many

different orders can the songs be played if the playlist consists of 8 rock songs and 6 rap songs?

Answers

Answe4.516439288 x 10²² ways

Step-by-step explanation:

The number of ways the songs in the playlist can be played involves a permutation, since order is involved.

8 rock songs can be played out of 20 in:

20P8 ways = 20!/(20-8)!

= 20!/12! = 6.033983155 x 10^13 ways

Similarly, 6 rap songs can be played from 18 in:

18P6 ways = 18!/(18-6)!

= 18!/12! = 8.892185702 x 10^12 ways

Hence, the number of ways 8 rock and 6 rap songs can be played from the disc's library is a multiplication of both permutations, which yields:

4.516439288 x 10²² ways

HW HELP (also please explain how to do it too)

Answers

Answer: 14 + 24 + 24 = 62

Step-by-step explanation:

I got that answer by doing 24 x 7.

We know that the area is 168, so to get the area you divide the length in half; now you have 7. (The length is 14)

All you have to do now is 168 divided by 7 and you get 24. So, now you know the rest of the sides are 24. So, 24 x 2 + 14 = 62

Please let me know if the answer is wrong, thank you.

If you are a student with no assets of any value and have liability insurance on an old car that pays a
maximum of $50,000 per accident, what is most likely to happen if you cause an accident that results in
$75,000 in damage to the passengers in another car?

Answers

Answer:

you pay 25, 000 from your own pocket and the insurance pays 50,000

Step-by-step explanation:

pls mark brainliest if this helped u

Susie has 4 gallons of juice.How many cups of juice does she have?
ANSWER QUICKLY

Answers

Answer: 64 cups

Step-by-step explanation:

Each gallon has 16 cups so you multiply 16 by 4 because there are 4 gallons and you get 64. Hope that helped. :)

64 cups is right just look at the steps above

Really struggling! Will give 20 points to answers correctly

Answers

Answer:

8,820

Step-by-step explanation:

One candle:

½ × 10 × 7 × 6

= 210 cm³

42 candles:

42 × 210

= 8,820 cm³

Answer:

8820 cm^3

Step-by-step explanation:

Volume of one prism = A(base prism)*height(prism)

A(base prism)= A(triangle) = 1/2*(base triangle)*Height(triangle)= 1/2*10*7 = 35 cm^2

Volume of one prism(or one candle) = A(base prism)*height(prism)= 35*6=210 cm^3

Volume of 42 candles = 210*42= 8820 cm^3

What is the correct factorization of 6(x - 2) + y(x - 2)?

Answers

Answer:

( x − 2 ) ( 6 + y )

Step-by-step explanation:

Answer:

(x - 2)(6 + y)

Step-by-step explanation:

Given

6(x - 2) + y(x - 2) ← factor out (x - 2) from each term

= (x - 2)(6 + y) ← in factored form

Find the perimeter

18
34
36
40

Answers

i believe that it is 34

Identify the graphed linear equation. A) y = 2 3 x + 3 2 B) y = 2 3 x - 3 2 C) y = - 2 3 x + 3 2 D) y = - 2 3 x - 3 2

Answers

Answer: the answer is C

Step-by-step explanation:

What is the product? -3 4 2 -5 3 -2 1 0

Answers

Final answer:

The product of the provided series of numbers is 0, because multiplying any number by zero will always result in zero.

Explanation:

The product of a series of numbers is the result of multiplying all the numbers together. In this case, you have provided a list of numbers: -3, 4, 2, -5, 3, -2, 1, 0. To find their product, we multiply them one by one.

Multiplying any number by zero results in zero, which is an important mathematical rule. Since one of the numbers in the list is 0, the product of these numbers is 0 regardless of all other numbers.

I need help with this question

Answers

Answer:

3 in²

Step-by-step explanation:

Since you can derive that the 2 squares completely fill the grid, you can look at the extra pieces that don't fill it. Each extra piece seems to fit 1/4 of the square grid and since there are 4, it completes a whole square.

Altogether, 2 + 1 = 3 squares, estimated.

The soccer coach is trying to predict the number of seventh graders who will attend the soccer game. The coach takes a random sample of 10 players on the soccer team.

Is this a good sample for making a prediction?


A)yes

B)no

C)need more information

Answers

I think it is yes because it is a prediction.

The amounts spent at a gift shop today are $19,$30,$28,$22,$26,and $26. What is the median and lower quartile?

Answers

Answer:

Step-by-step explanation:

The lower cortile is 19 because that's the lowest number and the medium cortile is 24 because it's in the middle.

Median is 26
Lower Quartile is 20

Solve 41 = 1/2x + (-4)
Answers:
x = 70
x = 90
x=88
x=20

Answers

X = 90

41 =1/2x -4.
Add 4 over
45 = 1/2x
Multiply by 2
90 =x

Answer:

x=90

Step-by-step explanation

multiply by two both sides -x=82-8 move terms -8-82=-x calculate x=90

Can anyone help with this please?

Answers

Answer:

10

Step-by-step explanation:

A bag contains two red marbles, two green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.]
How many possible sets of four marbles are there?
sets

Answers

The number of possible sets of four marbles from the bag is 126 sets, calculated using the combinations formula, C(9, 4) = 9! / [4! * (9-4)!].

To determine the number of possible sets of four marbles from a bag containing two red marbles, two green ones, one lavender one, two yellows, and two orange marbles, we can use the concept of combinations in mathematics. The formula for combinations is given by

C(n, k) = n! / [k! * (n-k)!]

where n represents the total number of items to choose from, k represents the number of items to choose, and ! indicates factorial which is the product of all positive integers up to the number.

First, we count the total number of marbles:

2 red 2 green 1 lavender 2 yellow 2 orange2 red

Thus, n=9 total marbles in the bag. We want to choose k=4 marbles out of these.

Applying the combination formula:

C(9, 4) = 9! / [4! * (9-4)!] = 126

Therefore, there are 126 possible sets of four marbles that can be chosen from the bag.

Glenn rolls a 6-sided die. What is the probability that he gets a number greater
than 2 or an odd number?

Answers

Answer: 5/6

Step-by-step explanation:

Over 2 there are 4 numbers 3,4,5,6 but it can be odd so also 1 works there are 6 numbers in total and 5 numbers work so

5/6

Answer:

5/6

Step-by-step explanation:

I got 5/6 because every number matches the conditions set except for two. If Glenn rolls a 1, it works because it is an odd number. If Glenn rolls a 2 it doesn't work because it's not an odd number and its not greater than 2. If Glenn rolls a 3 it works because 3 is an odd number and is greater than two, and every number after three will also work, because they are all greater than two. This way, the only number that will not match the conditions is 2, so the answer is 5/6, or 83.(3)%

Nico wants to use a horizontal number line to compare 1

and 1.5. He is unsure how to do it and asks you for

help. How would you explain the process?

Answers

Answer:

Follow steps 1, 2 and 3.

Step-by-step explanation:

What we must do we will follow in the following steps:

1. Draw a line and make 5 vertical marks about 1/2 inch.

2. Label the middle one 0 and then label the right ones zero 1 and 1.5.

3. Perform the same procedure from step two on the left but negative.

Answer:

1 3 /4

is equal to 1.75. I would plot 1.5 and 1.75 between 1 and 2, but 1.75 would be closer to 2. Since 1.75 is further to the right, it is greater than 1.5.

Step-by-step explanation:

Which values are solutions to Kz3 >-2? Select two options.
k= -10
k= -7
k=-1
k=0
Save and Exit
Next
Submit
Mark this and retum

Answers

The solutions to the inequality (k - 3)/4 > -2 are k = -1 and k = 0. This is determined by solving the inequality step by step and checking each given value.

To find the solutions, we need to solve the inequality step by step:

Start with the inequality: (k - 3)/4 > -2Multiply both sides by 4 to clear the denominator: k - 3 > -8Add 3 to both sides to isolate k: k > -5

Now we find the values from the given options that satisfy k > -5:

k = -10: -10 > -5 (No)k = -7: -7 > -5 (No)k = -5: -5 > -5 (No)k = -1: -1 > -5 (Yes)k = 0: 0 > -5 (Yes)

Thus, the values that are solutions to the inequality are k = -1 and k = 0.

The complete question is

Which values are solutions to (k - 3)/4 > - 2' Select two options.

k = - 10

k = - 7

k = - 5

k = - 1

k = 0

A circle of radius 10cm had a hole cut out of its centre to form a ring. Find the radius of the hole if the remaining area is 50% of the original area. Round to one decimal place

Answers

Answer:

7.07cm

Step-by-step explanation:

A=πr2

= 100 π

= 314.159265359/2 (squared)

50% = 157.07963268cm ^2

We look for radius in the area formula

A=πr2

(A / π ) = 157.07963268/ 3.14159265359 =  √50 = 7.07106781187

We do not need to half this as already has been squared.

Mai is visiting Paris to see the Eiffel Tower. She is 80 feet away

when she spots it. To see the top, she has to look up at an angle of 85.7 degrees. How

Answers

Answer: height of the tower is 1064 feet

Step-by-step explanation:

We want to determine the height of the tower.

Assuming her line of sight of the top of the tower is a straight line, then a right angle triangle is formed. The height, h of the tower represents the opposite side of the triangle. Her distance from the foot of the tower represents the adjacent side of the triangle.

To determine h, we would apply the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Therefore,

Tan 85.7 = h/80

h = 80tan 85.7

h = 1064 feet

Answer:

The tower is 1063.97 feet.

Step-by-step explanation:

please see the attached files for details

Answer the question fast!!

Answers

Answer:

A = bh, so the correct answer is A.

please help i will give brainleest

Answers

Pictures show u have to solve and the answers
a) =6,440,000
=6.44x10^6 (put a decimal after the first number, write down the other numbers greater than 0, then count all the numbers from te decimal, which in this case 6)

If you get a number like 0.0007 that means the exponent will be negative so it would be 7x10^-4

Hope that helped:)
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John is driving around town. When he reaches the gas station, he notes that he has traveled 10 miles. He reaches home 2 hours later and notes that he has traveled 30 miles.If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation? A. d = 10t - 10 B. d=20 + 10 t C. d= 10t + 10 D. d= 10t + 40 If a = -3 find the value of 2a Two identical closely spaced circular disks form a parallel-plate capacitor. Transferring 1.4109 electrons from one disk to the other causes the electric field strength between them to be 1.9105 N/C I need help! Idk what the answer is. BRAINLIEST AWARDED TO FIRST CORRECT ANSWER NEED ASAP! AND 20 POINTS!! The table shows the cost for taxi rides of various distances. Which graph displays the same function? If an otherwise empty pressure cooker is filled with air of room temperature and then placed on a hot stove, what would be the magnitude of the net force F120 on the lid when the air inside the cooker had been heated to 120C? Assume that the temperature of the air outside the pressure cooker is 20C (room temperature) and that the area of the pressure cooker lid is A. Take atmospheric pressure to be pa Davis Company has analyzed its overhead costs and derived a general formula for their behavior: $65,000 + $14 per direct labor hour employed. The company expects to use 50,000 direct labor hours during the next accounting period. What overhead rate per direct labor hour should be applied to jobs worked during the period? 6. Which is one major reason the Holocaust isconsidered a unique event in modern Europeanhistory?(1) Jews of Europe have seldom beenvictims of persecution.(2) Civilians rarely were killed during airraids on Great Britain.(3) Adolf Hitler concealed his anti-Jewishfeelings until after he came to power.(4) The genocide was planned in greatdetail and required the cooperation of manypeople.icalto how does foot notes help a article? Remove causes of war Resolve disputes between members of the United Nations Give legal advice to international agencies The list above describes the primary functions of the A. United States. B. Red Cross. C. World Court. D. European Union. Wildhorse Co. began the year 2022 with retained earnings of $651000. During the year, the company sold additional shares of stock for $1017000, recorded revenues of $649000, expenses of $376000, and paid dividends of $141000. What was Wildhorse's retained earnings balance at the end of 2022? PLEASE HURRY !!!!WILL GIVE BRAINLIEST!!!!!What was the purpose of the Freedmens Bureau?A. To punish the south for the warB. To provide help to formerly enslaved personsC. To limit opportunities given to formerly enslaved persons Based on Sara Gudger's description, what was lifelike for an enslaved person? 9. Steve Jobs had received knowledge about computer mouse from Xerox Corp. But, the mouse is not very durable and expensive to make it. Steve Jobs and one of his engineers, Dean Hovey, experimented different ways and finally improvised the efficiency of mouse. Such process of improvisation is called as? Which of the following careers would require a degree in physics?A. Art historian B. War correspondent C. Nuclear engineerD. X-ray technician (1 point) Suppose F (x,y)=2y,sin(y) and C is the circle of radius 3 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation r (t) for the circle C that starts at the point (3,0) and travels around the circle once counterclockwise for 0t2. You and your spouse are in good health and have reasonably secure jobs. Each of you makes about $45,000 annually. You own a home with a $150,000 mortgage, and you owe $11,600 on car loans, $7,200 in personal debt, and $3,250 in credit card loans. You have no other debt. You have no plans to increase the size of your family in the near future. You estimate that funeral expenses will be $8,000. Estimate your total insurance needs using the DINK method. how many points appear in the figure Translate to Spanish: I like to wear comfortable clothes. I like large shirts and tight pants. I typically wear black clothes. Sometimes I like to wear green and yellow. I like to wear cotton and silk but I hate wool. Whats the answer to this ?