Find a polynomial function that has the given zeros. (There are many correct answers.)
0, 1, 7

Answers

Answer 1

Given those zeros you have

X=0, x=1, and x=7

Since your factors are set equal to zero you just rewrite what’s above to equal 0.

X is just x
X=1 is (x-1)
X=7 is (x-7)

So your function is

x(x-1)(x-7)

Answer 2

The polynomial function with zeroes 0, 1 , 7 is given by x³ - 4x² + 3x.

What is a polynomial function ?

A polynomial function is a type of expression that can includes constants, coefficients, variables of various intensities, and positive exponents.

It is given that the zeroes of polynomial function are x = 0, x = 1, and x = 7.

If you have a function y = f(x) that doesn't have a zero for any of the above values of x then we need to multiply f(x) by :

i.e.,

For x = 1 , we need to multiply f(x) by (x - 1) :

f(1) (x-1)

= f(1) × 0

= 0

Similarly , for x = 3 , we need to multiply f(x) by (x - 3) also :

f(3) (x-1) (x-3)

=f(3) × 2 × 0

= 0

Similarly , for x = 7 , we need to multiply f(x) by (x - 7) also :

f(3) (x-1) (x-3) (x-7)

=f(3) × 6 × 4 × 0

= 0

So , for all values of x we have a function with zero.

The resulted polynomial function will be :

f(x) = x (x-1) (x-7)

f(x) = x³ - 4x² + 3x

Therefore , the polynomial function with zeroes 0, 1 , 7 is given by x³ - 4x² + 3x.

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Related Questions

Part B: Harry also does part-time yard work. The ratio of the number of hours Harry works in the yard to the money he earns in dollars is 1:10. Create a table to show the money earned by Harry for 5, 6, and 8 hours of work in the yard. (3 points)

Answers

Answer:

I think you multiply because it is asking you how much money he earns in 5 hour, 6 hour and 8 hours .It also said that he gets paid $1 and 10 cent each hour.

Step-by-step explanation:

1.10 * 5=5.5

1.10 * 6=6.6

1.10 * 8=8.8

So, he earns $8.8

Sorry it doesn't let me make a table but use the equation

As per linear equation, the amount of money Harry will earn by working 5, 6, and hours are $50, $60, and $80, respectively.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."

Given, the ratio of the number of hours Harry works in the yard to the money he earns in dollars is 1:10.

Let, Harry works for x hours.

Then the money he will earn is $10x.

Work(in hours) Earned money (in dollars)

5 50

6 60

8 80

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(1.2 times 10^9)+(7.6 times 10^8) in scientific nota

Answers

Answer:

1.96x10₉

Step-by-step explanation:

Answer:

1.96 * 10^9 (1,960,000,000)

Step-by-step explanation:

This is basically 1,200,000,000 + 760,000,000

3 to the power of 2 multiplied by 3 to the power of 2?

Answers

Answer:

3⁴

Step-by-step explanation:

Exponent Rule: [tex](b^m)(b^n) = b^{m+n}[/tex]

Apply the Exponent Rule.

3² · 3² = 3²⁺² = 3⁴

Answer:

I think its 81

Step-by-step explanation:

3^2=3x3=9

9x9=81

Find the measure of each angle indicated:
?
959

Answers

Answer:

wdd

Step-by-step explanation:

ddddddddddddddddddddddddddddddddddddddddddffffffffdfdfdfddfdfddfddddddddfuhkjhfhkjghhgkkjfkdghdhfjhgdjhdjfkhkdjfgkdfhghfhgkkfgkfhkjhjhgjhfjgkfgkhkfhgkkfhgkgkjhgjdfhgjdhfgkjdhgjhdgkjdfhkjhdkjfhgjhdjhjfkjhfhhkfdhkhgkdfhkdhfkhdfkggshlfgdshldfhshdfhkhghdklfhfdkhkhgkfdhkjhkhgskhkdfhgkhfdkgkdgklkdsghhlhdsghfghksfdlhhljkghkjhfkjhgksfdhklsdgldskghkljshgkjhfkjghdkhjkghdfkshgkfdkhgfdhkgljgljgjgjgjkjgjdjgldjgklgjglgdsjlfdjgdslkjdfkjgldsjfkjdfjfdklkjgkjgkljdsjgjgijgirjiyignlkdsfmgljijsidfjgijirgjijijdgjkjsdkjgiuiujirgtiuihrtiy984u98u55u9u5u5hyurjyj5yu98u5y95u9893939t98985959598984598u9845uy85uy99iuyjierjpsijsrgijiinbnibinghghhdhsihfigijriusgihhkgshirhgiurhgiirhgiuhdihgihgidhfghdlkfsglskdfhgjhldshgiuhgiiuheriughiuehgihierhgihihihiuhihrhihiuhioworruouotreuoroiiiiiiiiiiiiiituuourtuprtuoertuhghghihghihgihghhhghgighsehgiehirhhrsehorgohreuhrghrghhgighirgihigrhishoesghigehihirhihohgoirhihrihihgihheshiuhrehlshirherihghghghghghghghghghg

Answer:

Step-by-step explanation:

Find the equation of the line whose graph passes through (5,3 ) and has slope 1 / 4.

Answers

Answer: y = 1/4x + 1.25 ?? OR y = -4x + 23

Step-by-step explanation:

y = mx + c

3 = 1/4 (5) + c

3 = 1.25 + c

-1.25 from both sides

c = 1.75

y = 1/4x + 1.75

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

perpendicular gradient = -4

y = -4x + c

3 = -4(5) + c

3 = -20 + c

+20 to both sides

c = 23

y = -4x + 23

Solve the equation. X^5-5x^3+4x=0

Answers

Answer:

Wait

Step-by-step explanation:

Is a equation or polynomial

Answer:

0, +/- 1. +/- 2

Step-by-step explanation:

[tex]x^{5} -5x^{3} +4x=0[/tex] Write the equation in the form of P(x) = 0.

[tex]x(x^{4} - 5x^{2} + 4) = 0[/tex] Factor out the GCF, x.

[tex]x(x^{2})^{2} - 5x^{2} + 4 = 0[/tex] Factor [tex](x^{2})^{2}- 5x^{2} + 4 = 0[/tex].

[tex]x = 0,[/tex] [tex](x^{2})^{2} - 5x^{2} + 4 = 0[/tex] Let a = [tex]x^{2}[/tex] and substitute.

[tex]a^{2} - 5a + 4 = 0[/tex] Factor.

[tex](a - 4)(a - 1) = 0[/tex] Replace a with [tex]x^{2}[/tex].

[tex](x^{2} - 4)(x^{2} -1) = 0[/tex] Factor [tex](x^{2} - 4)[/tex] as a difference of squares.

[tex](x -2)(x+2)(x^{2} -1) = 0[/tex] Use the Zero Product Property

[tex]x = 2, x = -2, x^{2} = -1[/tex]

[tex]x = 0, 1, -1, 2, -2[/tex]

need help fast ............ 1/7

Answers

Answer:

wheres the question

Step-by-step explanation:

Answer:

1 /7 is .1428571429

Good Luck!!!

Please will give brainliest and thanks

Answers

Answer:

[tex] - \frac{6}{7}p + \frac{1}{7} [/tex]

Step-by-step explanation:

Get rid of the parenthesis then combine like terms

A contractor bought 6.4 ft? of sheet metal. He has used 4.9 ft? so far and has $45 worth of sheet
metal remaining. The equation 6.4x - 4.9x = 45 represents how much sheet metal is remaining and
the cost of the remaining amount. How much does sheet metal cost per square foot?
Sheet metal costs $
per square foot.

Answers

Answer:

1.5 ft remaining

$30 per ft of sheet

Sheet metal costs $30 per square foot.

Step-by-step explanation:

6.4x - 4.9x = 45

1.5x = 45

x = 30

6.4 - 4.9 = 1.5 ft remaining

$45 : 1.5 = $30 per ft of sheet

What can you tell about the mean of each distribution?Plz hurry

Answers

Answer:

The average cost of a dog's annual visit is about $76.10 more......

Step-by-step explanation:

Mean is the average of a dataset.

The question gives you the mean (average) of the cost of a dog's annual visit. As you can see at A New Leash of Life, the mean (average) is $300.75, whereas at No Ruff Stuff, the mean (average) is $224.65.

Since the question is only asking for a statement that matches the info above, the only option that matches is the first option.

Answer:

First one!!!

hope it help you

Find the domain:

y= [tex]\frac{6+9x}{6-x-1\\}[/tex]

Answers

Answer:

x= - 0.6

Step-by-step explanation:

Please help with this question.

Answers

I don’t know the answer but i wish you the best of luck!

Which expression is a way to represent the ratio of g to h? A:hg B:h:g C;gh D;h × g

Answers

Answer:

Step-by-step explanation:

traditional notation states h:g

which is h/g

What is the rate of change of the following equation?
y = 4x - 3

Answers

Answer:

Step-by-step explanation:

answer is x=1/4y+3/4

Chris has 4 rocks that each weigh 12 kilograms. He keeps them in a box that weighs 6 kilograms. He can lift all of the rocks in the box above his head at once. Estimate how many kilograms Chris can lift above his head.

Answers

Answer:

Step-by-step explanation:

my brain told me

Chris can lift 54 kilograms above his head.

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here, 4 rocks with 12 kg each and a box weighing 6 kilograms

therefore the total weight = 4 ×12 + 6

= 54 kg

Hence Chris can carry 54 kg above his head

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-1/5(?x+15)=2x-3 find ?

Answers

Let's call it [tex]k[/tex].

We have,

[tex]-\frac{1}{5}(kx+15)=2x-3[/tex]

[tex]kx+15=-10x+15[/tex]

[tex]\boxed{k=-10}[/tex]

Hope this helps.

Solve the equation x^3-13x^2+47x-35=0 given that 1 is a zero of f(x)= x^3-13x^2+47x-35.

The solution set is_______

I WILL GIVE YOU BRAINEST IF YOU ANSWER CORRECTLY

Answers

Answer: x = {1 , 5 , 7}

Step-by-step explanation:

We have x^3 - 13x^2 + 47x - 35 = 0.

Taking -13x^2, we can split it up into -x^2 - 12x^2

Taking 47x, we can split it up into 12x + 35x

Putting these into the original equation, we have:

x^3 - x^2 - 12x^2 + 12x + 35x - 35 = 0

From this you can see that we have 3 pairs of terms that we can easily factor. From the first pair we can factor x^2, from the second we can factor -12x, and from the third one we can factor 35.

1. (x^3 - x^2) = x^2 (x - 1)

2. (- 12x^2 + 12x) = -12x (x - 1)

3. (35x - 35) = 35 (x - 1)

Putting them back into the equation we have:

x^2 (x - 1) - 12x (x - 1) + 35 (x - 1) = 0

(x^2 - 12x + 35) (x - 1) = 0

To find the roots, we can set (x - 1) = 0 and (x^2 - 12x + 35) = 0.

x - 1 = 0

x = 1 (First root)

x^2 - 12x + 35 = 0

Factoring using the Sum-Product Rule:

Sum of -12, Product of 35 --> -7 and -5

x^2 - 12x + 35 = 0

(x - 7) (x - 5) = 0

We can see that x = 7 and x = 5.

So the solution set it x = {1 , 5 , 7}

The solution set will be {1,5,7}

What is zero of a function?

Zero of a function is the root of the function for which the function value of that root will be zero.

If a is the zero of function f(x)=0 then f(a)=0.

So according to question,

the equation is

x³-13x²+47x-35=0

spilting -13x² as -x²-12x² and 47x as 12x+35x

⇒x³-x²-12x²+12x+35x-35=0

⇒x²(x-1)-12x(x-1)+35(x-1)=0

taking (x-1) common from each term

⇒(x-1)(x²-12x+35)=0

In another way, as 1 is zero of x³-13x²+47x-35=0

then (x-1) is one factor of x³-13x²+47x-35=0

another factor will be x³-13x²+47x-35/(x-1)=x²-12x+35

for which we can write the equation x³-13x²+47x-35=(x-1)(x²-12x+35).

⇒(x-1)(x²-5x-7x-35)=0

⇒(x-1)(x(x-5)-7(x-5))=0

⇒(x-1)(x-5)(x-7)=0

⇒x-1=0 or x-5=0 or x-7=0

⇒x=1 or x=5 or x=7

Therefore The solution set will be {1,5,7}

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You lose three points each time you answer a question incorrectly in a trivia game. If you answer eight questions in a row incorrectly , what is the change in your score ?

Answers

Answer:

The change should be -24 points

find the Square root of √39-2x = 5

Answers

Has to be correct. I did it on paper and checked it. Then I checked it with a calculator

The sum of -7 times a number and 8 times the sum of the number and 1 is the same as the number minus 7.

Answers

Answer:

[tex]\huge\boxed{No \ solutions}[/tex]

Step-by-step explanation:

Our first goal is to transform these words into numbers for an expression.

Let's break it down.

-7 times a number

We'll assume that the number is [tex]n[/tex]. -7 times a number can be represented as [tex]-7n[/tex].

8 times the sum of the number and 1

We can break this complex statement down.

8 times the sum of the number and 1

The sum of the number and 1 will be [tex]n+1[/tex]. 8 times that will be [tex]8(n+1)[/tex]. Since it says at the beginning the sum of, we add [tex]8(n+1)[/tex] to [tex]-7n[/tex].

[tex]-7n + 8(n+1)[/tex]

Is the same as the number minus 7.

"Is the same" means we use an equal sign. The number minus 7 will be [tex]n-7[/tex]. So we get [tex]-7n + 8(n+1)=n-7[/tex]

Now we can solve for n by reversing the equation until we have n isolated on one side.

[tex]-7n + 8n + 8 = n-7[/tex]

[tex]n + 8 = n-7[/tex]

[tex]8 = -7[/tex]

We end up with 8 = -7. This is not possible. Therefore, there are no real values of x that satisfy this equation.

Hope this helped!

Suppose we express the amount of land under cultivation as the product of four factors:
Land = (land/food) x (food/kcal) x (kcal/person) x (population)

The annual growth rates for each factor are:
1. the land required to grow a unit of food, -1% (due to greater productivity per unit of land)
2. the amount of food grown per calorie of food eaten by a human, +0.5%
3. per capita calorie consumption, +0.1%
4. the size of the population, +1.5%.

Required:
At these rates, how long would it take to double the amount of cultivated land needed? At that time, how much less land would be required to grow a unit of food?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following annual growth rates:

land/food = - 1%

food/kcal = 0.5%

kcal/person = 0.1%

population = 1.5%

Σ annual growth rates = (-1 + 0.5 + 0.1 + 1.5)% = 1.1% = 0.011

Exponential growth in Land :

L = Lo * e^(rt)

Where Lo = Initial ; L = increase after t years ; r = growth rate

Time for amount of cultivated land to double

L = 2 * initial

L = 2Lo

2Lo = Lo * e^(rt)

2 = e^(0.011t)

Take the In of both sides

In(2) = 0.011t

0.6931471 = 0.011t

t = 0.6931471 / 0.011

t = 63.01 years

Land per unit of food at t = 63.01 years

L = Fo * e^(rt)

r = growth rate of land required to grow a unit of food = 1% = 0.01

L/Fo = e^(-0.01* 63.01)

L/Fo = e^(−0.6301)

= 0.5325385 = 0.53253 * 100% = 53.25%

Land per unit now takes (100% - 53.25%) = 46.75%

Gregory sees an $80.00 jacket on sale at 30% off. How much will cost after a 7% sales tax is applied ?

Answers

Answer:

there are two answers, whether the tax is applied AFTER you get the discount or BEFORE you get the discount, the two answers are: $61.60 or $59.92

Step-by-step explanation:

80-24+5.60

(Jacket-sale)+tax

80+3.92-24

(Jacket+tax)-sale

Answer: 59.92

Step-by-step explanation:

select all values equal to 2/7

[tex] \frac{ - 2}{7} [/tex]
[tex] - \frac{ - 2}{ - 7} [/tex]
[tex] - \frac{2}{ - 7} [/tex]
[tex] \frac{2}{ - 7} [/tex]

Answers

Answer:

Step-by-step explanation:

Option 3 is the correct answer

Simplifying the answer

Answers

Answer:

Coin a is 33 and coin b is 11

Step-by-step explanation:

Answer:

B = 11

A =33

Step-by-step explanation:

A = 3B

A+B = 44

Substitute the first equation into the second equation

3B + B = 44

Combine like terms

4B = 44

Divide by 4

4B /4 = 44/4

B = 11

A = 3B

A = 3*11

A =33

, or =. 4.5 ___ 4.05

Answers

Answer:

4.5 > 4.05

Step-by-step explanation:

Simplifying then comparing both terms 4.5 and 4.05 , 4.5 is greater than 4.05 , which means that the first term is greater than the second term.

Answer:

4.5 > 4.05

Step-by-step explanation:

This is the answer because:

1) 4.5 means 4 and 5 tenths

2) 4.05 means 4 and 5 hundredths

3) We know tenths is greater than hundredths in decimal numbers

Therefore, the answer is 4.5 > 4.05

Hope this helps! :D

A(n) _____________________ is a person who learns a skilled trade from a master craftsperson. a. Novice c. Starter b. New Hire d. Apprentice

Answers

Answer:

i love myself

Step-by-step explanation:

This season, the probability that the Yankees will win a game is 0.57 and the probability that the Yankees will score 5 or more runs in a game is 0.51. The probability that the Yankees win and score 5 or more runs is 0.44. What is the probability that the Yankees would score 5 or more runs when they win the game? Round your answer to the nearest thousandth.

Answers

The probability is 0.771.

The answer rounded to the nearest thousandth.

The probability that the Yankees would score 5 or more runs when they win the game can be calculated by using the formula for conditional probability. It can be determined by dividing the probability that the Yankees win and score 5 or more runs by the probability that the Yankees win.

The formula for conditional probability is:

Conditional Probability = P(A and B) / P(B)Where A and B are two events.

In this case, the two events are the Yankees win and the Yankees score 5 or more runs. So, the probability that the Yankees would score 5 or more runs when they win the game is:
P(Yankees score 5 or more runs | Yankees win) = P(Yankees win and score 5 or more runs) / P(Yankees win)Using the given values:

P(Yankees score 5 or more runs | Yankees win) = 0.44 / 0.57 = 0.771.

This means that when the Yankees win a game, there is a 77.1% chance that they would score 5 or more runs.

The answer is rounded to the nearest thousandth.

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-7 times what equals 2? i’ll give brainliest

Answers

Answer:-3.5

Step-by-step explanation:

State the intervals where the function is increasing

Answers

Answer:

(-infinity, 6] U [-6, infinity)

PLEASE HELP ASAP!!

There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls. Set up the system of equations needed to solve this problem.
x is boys
y is girls
800=1.5x=y

Answers

Answer (the system of equations input doesn't work, so there is no brace):

x = 1.5y

x + y =800

Step-by-step explanation:

First, identify the vital information:

- 800 total students

- 1.5 times as many boys as girls

So, if x = number of boys and y = number of girls, we can agree that:

x = 1.5y

And because there are 800 kids in total, we can agree that:

x + y = 800

There are 320 girls and 480 boys. (see below)

Since you have the value of x, 1.5y, you can plug-in the value:

x + y = 800

1.5 + y = 800

2.5y = 800

y = 320 girls

Plug-in the y-value into the equation for the number of boys:

x = 1.5y

x = 1.5(320)

x = 480 boys

To double-check:

320 + 480 = 800 ☺

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Find a polynomial function that has the given zeros. (There are many correct answers.) 0, 1, 7

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Find a polynomial function that has the given zeros. (There are many correct answers.)
0, 1, 7