given 3 is a zero of the polynomial 2x^3-x^3-13x-6. find its other zeroes​

Answers

Answer 1

ANSWER

[tex]p(x) =( x - 3)(2{x} + 1)(x + 2)[/tex]

EXPLANATION

The given polynomial is

[tex]2 {x}^{3} - {x}^{2} - 13x - 6[/tex]

If 3 is a root of this polynomial, then

[tex]x - 3[/tex]

is a factor.

We use long division to obtain the quotient as shown in the attachment.

We can the factor the polynomial as:

[tex]p(x) =( x - 3)(2{x}^{2} + 5x + 2)[/tex]

The complete factored form is:

[tex]p(x) =( x - 3)(2{x} + 1)(x + 2)[/tex]

Given 3 Is A Zero Of The Polynomial 2x^3-x^3-13x-6. Find Its Other Zeroes

Related Questions

<1 and <2 are adjacent angles.
a.) True
b.) False

Answers

Answer:

True, ∠1 and ∠2 are adjacent angles. True

Explanation:

Definition of adjacent angles: Two angles are called adjacent angles if

1. They have a common side

2. Common vertex (corner point)

3. They don't overlap.  

Further Explanation:

In the given figure two lines are intersecting each other and form 4 angles, ∠1, ∠2, ∠3  and ∠4.

From the given figure it is clear that, the common vertex of all angles is the point of intersection of both lines. The pairs of adjacent angles are

(i) ∠1 and ∠2

(ii) ∠2  and ∠3

(iii) ∠3  and ∠4

(iv) ∠1  and ∠4

Therefore, ∠1 and ∠2 are adjacent angles and the given statement is true.

Learn More:

Adjacent angles :  https://brainly.com/question/11933939  (Answered by MollieToliver)

Adjacent angles :  https://brainly.com/question/12256805  (Answered by ApusApus)

Keywords:

Adjacent angles, Intersection of two lines.

When we have an intersection of two lines, four angles are created in that intersection.

With this, we define two adjacent angles as a pair of angles that is separated by one of the lines.

In the image, we can see that:

∠1 and ∠2 are adjacent

∠2 and ∠3 are adjacent

∠3 and ∠4 are adjacent

∠4 and ∠1 are adjacent.

Then the statement:

"∠1 and ∠2 are adjacent"

Is true, by definition of adjacent angles.

If you want to learn more, you can read:

https://brainly.com/question/12838185

BC is tangent to circle A at point B. What is m2ACB if mZCAB = 22° ?

Answers

Answer:

68°

Step-by-step explanation:

We know that sum of 3 angles in a triangle is 180°.

In  ΔBAC, there are angles B, A, and C. Thus we can say:

B + A + C = 180

Since, BC is tangent to circle, the point of tangency, B is a 90 degree angle. So angle B is 90.

Also, given angle CAB is 22, which, in other word, is angle A is 22.

Thus, we can write:

B + A + C = 180

90 + 22 + C = 180

112 + C = 180

C = 180 - 112 = 68

Measure of angle ACB = 68°

The measure of angle ACB is 68°.

We know that sum of 3 angles in a triangle is 180°.

In  ΔBAC, there are angles B, A, and C. Thus we can say:

B + A + C = 180

Since, BC is tangent to circle, the point of tangency, B is a 90 degree angle. So angle B is 90.

Also, given angle CAB is 22, which, in other word, is angle A is 22.

Thus, we can write:

B + A + C = 180

90 + 22 + C = 180

112 + C = 180

C = 180 - 112 = 68

I'm over thinking this please help it is multiple choice

Answers

Answer:

D) >20% are in favor

Step-by-step explanation:

Process of elimination:

Not C, since the same number is undecided for each

Not A, since more people are undecided

Not B, since 60 students decided compared to 40 undecided

The answer is D, since 25/100 = 25% of students are in favor

Can someone help me with this. Ill post a picture of everything. ​

Answers

Answer:

DCD, CDC

Step-by-step explanation:

DDD

DDC

DCD

CDD

CCC

CCD

CDC

DCC

Which binomial is equivalent to (xy + z)(xy − z)?

Answers

Final answer:

The binomial equivalent to (xy + z)(xy - z) is found by applying the difference of squares formula, resulting in x²y² - z².

Explanation:

The question asks which binomial is equivalent to the expression (xy + z)(xy - z). This can be simplified using the difference of squares formula, which is a² - b² = (a + b)(a - b). In this case, a is xy and b is z.

Applying the formula, we have:

First, square a: (xy)² = x²y²

Then, square b: z²

Subtract the square of b from the square of a to get the answer: x²y² - z²

Therefore, the binomial equivalent to (xy + z)(xy - z) is x²y² - z².

Nick and June win some money and share it in the ratio 5:3. Nick gets £26 more than June. How much did June get?

Answers

The difference between the ratio 5:3 is 2 ( 5-3 = 2)

Nick gets 2 extra shares which is equal to £26

1 share = 26 / 2 = 13

June gets 3 shares: 3 x 13 = £39

June gets 3 shares: 3 x 13 is equal to the $39.

Nick and June win some money and share it in the ratio of 5:3.

Nick gets $26 more than June.

What is the difference?

The word difference is the result of subtracting one number from another.

The difference between the ratio of 5:3 is 2 ( 5-3 = 2)

Nick gets 2 extra shares which is equal to $26.

1 share = 26 / 2 = 13

June gets 3 shares: 3 x 13 is equal to the $39.

To learn more about the amount visit:

https://brainly.com/question/1153322

#SPJ2

How to do it? Its URGENT​!!!I need it right now!!!?!? I will give 10 points! Pls!!!

Answers

A manufacturer sells an item to an agency at a profit of 25%. The agency sells the item to a shopkeeper at 10% profit and shopkeeper sells the item at a profit of 20%. If the selling price of the item is $594, find the manufacturing price.

Answer: $360

Step-by-step explanation:

Let Mp the manufacturing price.

First step:

Manufacturer sells at a profit of 25% = Mp + Mp·0.25 = Mp·1.25

Second step:

Agency sells at a profit of 10% = 1.25Mp + 1.25Mp·0.10 = Mp·1.375

Third step:

Shopkeeper sells at a profit of 20% = 1.375Mp + 1.375Mp·0.20 = Mp·1.65

Then the final price = 1.65·Mp

1.65Mp = $594

Mp = $594/1.65 = $360 ►Manufacturer price

Answer: $360

Verification

Manufacturer sells at a profit of 25% = 25/100 = 0.25:

$360 + $360·0.25 = $360(1 + 0.25) = $360 + $90 = $450

Agency sells at a profit of 10% = 10/100 = 0.10:

$450 + $450·0.10 = $450(1 + 0.10) = $450 + $45 = $495

Shopkeeper sells at a profit of 20% = 20/100 = 0.20

$495 + $495·0.20 = $495(1 + 0.20) = $495 + $99 = $594 Checked!

[tex]\textit{\textbf{Spymore}}[/tex]

What is 10% of $4.30 ?

Answers

Answer: 0.43

Step-by-step explanation:   if you ever need help like this for percentages again i just use this website its reallyyyy helpful :)       https://percentagecalculator.net/

10% change to decimal number is 0.1
$4.30 times 0.1
4.30 x .1
•Answer:0.43

Can someone plz help me.

Answers

Answer:

1) (-2)+3

-2+3

=1

2) (-14)+(-7)

-14-7

=-21

3) 3-(-8)

3+8

=11

4) (-9)+14

-9+14

=5

5) (-8)-(-2)

-8+2

=-6

6) 5+(-8)

5-8

=-3

7) (-27)-24

-27-24

=-51

8) (-41)+(-40)

-41-40

=-81

9) 38-(-17)

38+17

=55

10) (-44)+(-9)

-44-9

=-53

11) (-16)-(-36)

-16+36

=20

12) (-6)-24

-6-24

=-30

hope this helps :)

Which of the following is a solution of y > |x| - 6?
(-5, 1)
(-1, -5)
(5, -1)

Answers

ANSWER

(-5,1) is the correct answer

EXPLANATION

The given inequality is:

[tex]y \: > \: |x|- 6[/tex]

If any point satisfies this inequality, then it is a solution.

We need to substitute each point into the given inequality.

We substitute (-5,1) to get:

[tex]1\: > \: | - 5|- 6 \implies1\: > \: - 1[/tex]

This statement is true. Hence (-5,1) is a solution.

For (-1,-5), we have

[tex] - 5\: > \: | - 1|- 6 \implies - 5\: > \: - 5[/tex]

This is false.

For (5,-1), we have

[tex] - 1\: > \: | 5|- 6 \implies - 1\: > \: - 1[/tex]

This is also false.

Answer:

(-5,1) is the correct answer

how do you solve 5x³ divided by (5x) ³?

Answers

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

note that (5x)³ = 5³x³ = 125x³

Hence

[tex]\frac{5x^3}{125x^3}[/tex]

Cancel the x³ on numerator/denominator and divide the 5 and 125 by 5

= [tex]\frac{1}{25}[/tex] ← in simplified form

The type of transformation PQRS undergoes is a . If vertex Q is at (-4, -5), then vertex Q′ is at ?

Answers

Answer:

(-4, -5) it gives the answer in the question

Step-by-step explanation:


What is the domain of y= 2x - 4/x^2 - 4?

Answers

Answer:

{x while x ≠2, -2}

Step-by-step explanation:

First let's define domain,

Domain is the set of all values on which the function is defined i.e. the function doesn't approach to infinity.

Given function is:

[tex]y = \frac{2x-4}{x^{2} -4}[/tex]

We will look for all the values of x on which the function will become undefined:

We can see that x= 2 and x=-2 will make the denominator zero as there is x^2 involved. The denominator zero will make the function undefined.

So, the domain of the function is set of all real numbers except 2 nd -2 {x while x ≠2, -2} ..

Answer:

[tex](-\infty,-2)\cup (-2,2)\cup (2,+\infty)[/tex]

Step-by-step explanation:

The given rational expression is:

[tex]y=\frac{2x-4}{x^2-4}[/tex]

We factor this expression to obtain:

[tex]y=\frac{2(x-2)}{(x-2)(x+2)}[/tex]

We can see that, this rational function has a hole at x=2 and a vertical asymptote at x=-2

Therefore the domain is

[tex]x\ne 2\: and\:x\ne -2[/tex]

Or

[tex](-\infty,-2)\cup (-2,2)\cup (2,+\infty)[/tex]


Select all that apply.

Given the points (3, 2) and (6,4), which of the following are true about the line passing through these points?

The line has a slope of 3/2

The line represents a direct variation function.

The line has a slope of 2/3

The point (-6.9) is also on the line.

Answers

Answer: The line represents a direct variation function.

Step-by-step explanation: Rest of them are not true. for 1 and 3, plug in the x and y value to the equation y=mx + b.

(x,y)





A pot of stew is placed on a stove to heat. The temperature of the liquid reaches 170°F, and then the pot is taken off the burner and placed on a kitchen counter. The temperature of the air in the kitchen is 76°F.

If k = 0.34, the temperature of the liquid after 7 hours will be

ºF. (Hint: Use Newton’s cooling model.)

Answers

Final answer:

To calculate the temperature of the liquid after 7 hours, you can use Newton's cooling model. By plugging in the initial temperature, the surrounding temperature, and the cooling constant into the equation T = T0 + (T1 - T0) * e(-kt), you can calculate the temperature after 7 hours. In this case, the temperature after 7 hours is approximately 152.85°F.

Explanation:

In this problem, we can use Newton's cooling model to determine the temperature of the liquid after 7 hours. Newton's cooling model states that the rate of heat loss or gain is directly proportional to the temperature difference between the object and its surroundings. Using the equation T = T0 + (T1 - T0) * e(-kt), where T is the temperature at time t, T0 is the initial temperature, T1 is the surrounding temperature, k is the cooling constant, and e is the base of the natural logarithm, we can calculate the temperature after 7 hours.

Convert the initial temperature, the surrounding temperature, and the time to Kelvin.

Plug the values into the equation and calculate the temperature after 7 hours.

Using the given values of T0 = 170°F, T1 = 76°F, and k = 0.34, we can calculate the temperature after 7 hours.

T0 = 170°F + 459.67 = 629.67 K

T1 = 76°F + 459.67 = 535.67 K

T = 629.67 + (535.67 - 629.67) * e⁻°³⁴*⁷

T ≈ 152.85°F

Determine whether the function f(x) = -2x - 5x is even, odd, or neither.

Answers

Answer: odd

Step-by-step explanation:

A function is even if for any input value x and -x there is the same output value y. In other words, a function is even if:

[tex]f (-x) = f (x)[/tex]

A function is odd if it is true that:

[tex]f (-x) = -f (x)[/tex]

Then we must test if [tex]f(-x) = f(x)[/tex] for the function: [tex]f(x)=-2x - 5x[/tex]

[tex]f(-x)=-2(-x) - 5(-x)[/tex]

[tex]f(-x)=2x + 5x[/tex]

So [tex]f(-x) \neq f(x)[/tex]

The function is not even

Now we must test if [tex]f (-x) = -f (x)[/tex] for the function.

[tex]f(-x)=-2(-x) - 5(-x)[/tex]

[tex]f(-x)=2x + 5x[/tex]

[tex]f(-x)=-(-2x -5x)[/tex]  and  [tex]f(x)=-2x - 5x[/tex]

So [tex]f(-x) = -f(x)[/tex]  

Finally the function is odd

9. David had $350. After shopping, he was left with $235. If c represents the amount he spent, write an equation to represent
this situation. Then use the equation to find the amount of money David spent.

Answers

Answer: meow 1. −6z + 13 = −11z − 7

2. 6 + 17z = 13z + 18

3. 4

5 k – 5 = –7 +

2

5 k

4. − 4

5 w +

1

4 =

1

5 +

1

3 w

5. 15(−42x + 40) = 15(−8x + 244)

6. 4 – 3

5 (3a + 4) = 7

7. 1

2 (15 + 7d) = − d

Step-by-step explanation:

Answer:

The amount of money David spent is $115.

Step-by-step explanation:

Consider the provided information.

David had $350. After shopping, he was left with $235.

Let the money spent by David is c.

As some money are spent from the total amount, So use a "-" sign and put the equation equals to 235, as this is the amount he left with.

The equation can be represented as:

350 - c = 235

Now simplify the above equation in order to find the money spent by David.

Isolate the variable by adding c and subtracting 235 from both sides.

350 - c + c -235 = 235 + c -235

115 =  c

Hence, the amount of money David spent is $115.

Given: △EIJ, k(O, r)
EI = EJ = r=10 cm
EP ⊥ IJ
Find: JP

Answers

Answer:

[tex]JP=5\sqrt{3}\ cm[/tex]

Step-by-step explanation:

Connecting points O and E and points O and J, we get triangle EOJ. This triangle is equilateral triangle, because OJ=OE=JE=r=10 cm.

Since EP⊥IJ, then segment JP is the height of the triangle EOJ.

The height of the equilateral triangle can be found using formula

[tex]h=\dfrac{a\sqrt{3}}{2},[/tex]

where a is the side length.

So,

[tex]h=\dfrac{10\sqrt{3}}{2}=5\sqrt{3}\ cm.[/tex]

f(y) = 8y2 – 7y + 6. What is the constant of the function?

Answers

Answer:

+ 6

Step-by-step explanation:

The constant term in the function is the term which is only numeric and has no variable attached to it.

f(y) = 8y² - 7y + 6 → has constant term + 6

5x(2)
Explain to me please
Thanks

Answers

Answer:

10x

Step-by-step explanation:

5x(2)

When this is simplified, the answer is 10x

5x(2)

5x multiplied by 2 is 10x

The answer is 10x

This is because 5x is being multiplied by 2. We know this because parentheses are one of the several symbols of multiplication.

Even though 5 has an x attached to it you can just ignore it for now, multiply 2 to the 5 then just reattach the x at the end of your answer

Hope this helped!

~Just a girl in love with Shawn Mendes

What’s y (Solve and show work): 3(y-2)= -21

Answers

I attached an image doing it out

Answer:

y = -5

Step-by-step explanation:

Equation:

3( y - 2 ) = -21

3y - 6 = -21

3y = -21 + 6

3y = -15

y = [tex]\frac{-15}{3}[/tex]

y = -5

independent of dependent plzzz help

Answers

Answer:first one is dependent

second one is independent

Step-by-step explanation:

I do exercises on it

Which of the following statements are true?

Answers

Answer:

option A and B are correct.

Step-by-step explanation:

Given: [tex]p(t) = \frac{64}{1 + 11e^{-.08t} }[/tex]

Option A: [tex]\lim_{t \to \infty} \frac{64}{1 + 11e^{-.08(\infty)} }  = \frac{64}{1 + 0}  = 64[/tex]

Option A is true,

Option B: [tex]P(0) = \frac{64}{1 + 11}  = 5.33[/tex]

Option B is also true.

Option C:

[tex]P(t + 1) = \frac{64}{1 + 11e^{-.08(t + 1)} }  = \frac{64}{1 + 10.15e^{-.08t} } \\1.08 · P(t) = \frac{64 · 1.08 }{1 + 11e^{-.08t} }   = \frac{69.12}{1 + 11e^{-.08t} }[/tex]

P(t + 1) ≠ 1.08 · P(t)

Option C is incorrect.

Option D:  It is also incorrect, because according to option 2 earth's population will not grow exponentially without Bound.

What is the relationship between the volume and surface area of the sphere shown?

a. V < SA

b. V = SA

c. V > SA

Will give brainliest!

Answers

Answer:

B

Step-by-step explanation:

V=4/3 x 3.14 x 3^3

V= 113.04

SA= 4 x 3.14 x 3^2

SA= 113.04

Answer:

The answer is V=SA

Step-by-step explanation:

V=4/3 x 3.14 x 3^3

V= 113.04

SA= 4 x 3.14 x 3^2

SA= 113.04

So the relationship should be V=SA, because the equaled amount on both ends was the same.

What is the solution to 3/(2x+1) = 9/3x?

Answers

Answer:

Solution x = - 1

Step-by-step explanation:

3 / (2x+1) = 9 / 3x

Cross multiply

3(3x) = 9(2x + 1)

Distributive property

9x = 18x + 9

Subtract 18x from both sides

-9x = 9

Divide both sides by -9

x = -1

Solve the proportion below. X/18= 8.5/17 x=?

Answers

Answer:

x=9

Step-by-step explanation:

we have been given the following proportion;

x/18 = 8.5/17

we are required to solve for x. In order to solve for x, we simply make x the subject on the left hand side . This can be done by multiplying both sides by 18;

(x/18)*18 = (8.5/17)*18

x = 153/17

x = 9

Answer:

9

Step-by-step explanation:

What is the common between 2,8, 14, 20, 26

Answers

Answer:

So i believe the answer is 2.

Step-by-step explanation:

The common denominator? Right? If so

2: 1 and 2

8: 1,8,2, and 4

14: 1,14,2, and 7

20:,1,20,2,10,4, and 5

26:1,26,13, and 2

Hope my answer has helped you!

If f(x) = 4x + 5, which of these is the inverse of f(x)?​

Answers

Answer:

A

Step-by-step explanation:

y=4x+5

x=4y+5

4y+5=x

4y+5-5=x-5

4y=x-5

4y/4= x/4 - 5/4

y= x-5/4

Final answer:

To find the inverse of the function f(x) = 4x + 5, switch x and y in the equation, then solve for y to get the inverse function, which is f-1(x) = (x - 5) / 4.

Explanation:

To find the inverse of the function f(x) = 4x + 5, you would follow these steps:

Replace f(x) with y: y = 4x + 5.Switch the roles of x and y: x = 4y + 5.Solve the equation for y to find the inverse function:Subtract 5 from both sides: x - 5 = 4y.Divide by 4: y = (x - 5) / 4.The inverse function is: f-1(x) = (x - 5) / 4.

This inverse function will satisfy the condition that f(f-1(x)) = x and f-1(f(x)) = x, which is the defining property of an inverse function.

let f(x)=x^2-2x+2 and g(x)=x-3 find f(x)•g(x)

Answers

Answer:

[tex]\large\boxed{x^3-5x^2+8x-6}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-2x+2\\\\g(x)=x-3\\\\f(x)\cdot g(x)=(x^2-2x+2)(x-3)\qquad\text{use}\ \bold{FOIL}:\ (a+b)(c+d)=ac+ad+bc+bd\\\\f(x)\cdot g(x)=(x^2)(x)+(x^2)(-3)+(-2x)(x)+(-2x)(-3)+(2)(x)+(2)(-3)\\\\f(x)\cdot g(x)=x^3-3x^2-2x^2+6x+2x-6\qquad\text{combine like terms}\\\\f(x)\cdot g(x)=x^3+(-3x^2-2x^2)+(6x+2x)-6\\\\f(x)\cdot g(x)=x^3-5x^2+8x-6[/tex]

Ruth bought cutter s and screwdrivers to upgrade the computers in her company. A cutter costs 15.2$ and a screw driver costs $2. She bought a total of 29 tools and spent 150.40$. how many of each tool did ruth buy?

Answers

solve it with a system

x=screwdriver

y=cutter

x+y=29

2x+15.2y=150.40

Other Questions
can someone help me identify the point of view in a story ASAP Which of the following characteristics of DNA-dependent DNA synthesis is NOT the same for DNA-dependent RNA synthesis?Synthesis requires a template.Initiation involves the recognition of a specific DNA sequence.Initiation of synthesis requires a primer.Synthesis is catalyzed in the 5 to 3 direction.All of the choices given are the same for both DNA and RNA synthesis. A line is drawn through (7, 11) and (8, 9). The equation y 11 = (x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.y = x + 3y = 4x + 404x + y = 214x + 3y = 54x + 3y = 17 Why is it important that citizens make wise money management choices ? As-tu encore mal la tte? Je nai rien mal la tte. Je nai personne ma la tte. Je nai plus mal la tte. Je nai mal la tte. on Monday Carrie and her family travel 792 on Tuesday they travel another 430 miles about how many more miles did they travel on Monday than Tuesday As the Niagara River enters Lake Ontario, the velocity of the river will a) decreases and larger sediments are deposited first b) decreases and smaller sediments are deposited first c) increases and larger sediments are deposited first d) increases and smaller sediments are deposited first When did india become independent from british rule Mateo wants to make a toy sailboat. He has two pieces of wood to choose from. His first piece of wood is a block that measures 18'' x 10" x 8". It weighs 46.65 lbs. His second piece of wood is a log of wood measuring 21" long, with an average circumference of 25.12". It weighs 39.25 lbs. The sailboat needs to float, but both blocks of wood are denser than wood usually is, and he's not sure either piece of wood will float. He doesn't want to get the water wet before he's applied a sealant, so he isn't willing to just drop them in the water to find out. 2a. Which common solid can he use to represent the block? Which common solid can he use to represent the log? (2 points) 2b. What is the density of the block in pounds per cubic inch? Give the formula for density and show your work. (3 points) 2c. What is the density of the log in pounds per cubic inch? Give the formula for density and show your work. Use 3.14 for . (Hint: you can determine the radius from the circumference.) (3 points) 2d. Water has a density of about 0.0361 pounds/cubic inch. Anything rarer will float, and anything denser will sink. Which of the pieces of wood are suitable for making a toy boat that will float? (2 points) Given that f (x) = x^2 - 5x + 6, evaluate the function f (-2). what argument did Andrew Jackson use to persuade people that the Indian Removal act was a good decision the movement of water from ocean through the atmosphere and back Which is the equation in slope-intercept form for the line that passes through (-2, 15) and is perpendicular to 2x + 3y = 4?A. y = 2/3x + 18B. y = 3/2x + 18C. y = 3/2x - 12D. y = -3/2x + 18 Who was the communist leader of north vietnam PLS HELP I'LL GIVE BRAINLIEST need help asap!!!!! thank you!! Would appreciate the help. !!!!!PLEASE HELP!!!!Find (f/g)(x) for: f(x)=(x+16)/x; g(x)=(2x)/(x+4) Shakespeare uses the word vile rather than sharp orbloody to describe the assassins' daggers. This helps theaudience understand Sun Yat Sen believed China needed freedom from which of the following?oppressionforeign invasionforeign imperialismforeign ideas Steam Workshop Downloader