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Answer 1

When equation f(x) = 3x + 4 is transformed to h(x) = f(x + 3) and plotted on the graph, both the lines of the equations are parallel to each other.

What are graph equations?Equations with graphs as unknowns are known as graph equations in graph theory. The concept of isomorphism is one of the key issues in graph theory.Different graph equations may be used to express the aforementioned graphs.

So, the equations are graphs are:

Given equation: f(x) = 3x + 4Which is transform to equation: h(x) = f(x + 3)

Now, graph both equations as follows:

Both equations are parallel to each other.(Refer to the graph attached below)

Therefore, when equation f(x) = 3x + 4 is transformed to h(x) = f(x + 3) and plotted on the graph, both the lines of the equations are parallel to each other.

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CAN SOMEONE HELP ME

Michael has v sweets.

Lily has 5 more sweets than Michael.

James has 8 more sweets than Lily.

They have 75 sweets altogether.

what is the number of sweets Michael has.

Answers

Answer:

Michael has 19 sweets

Step-by-step explanation:

19+24+32 = 75

Lilly has: 24

James has: 32

A function is shown. F(x) = -7/8x + 11
What's the x-intercept?
What's the y-intercept?

Answers

Answer:

x-intercept (88/7,0), y-intercept (0,11)

Answers:

x intercept = 88/7

y intercept = 11

===============================================

Explanation:

To find the y intercept, we replace f(x) with 0 and solve for x.

f(x) = (-7/8)x + 11

0 = (-7/8)x + 11

(7/8)x = 11

7x = 8*11

7x = 88

x = 88/7 is the x intercept

It is located at (x,y) = (88/7, 0)

The x intercept always occurs when y = 0.

88/7 = 12.5714 approximately, but I would stick to the fraction form since it's most exact.

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

The y intercept always occurs when x = 0.

f(x) = (-7/8)x + 11

f(0) = (-7/8)*0 + 11

f(0) = 0 + 11

f(0) = 11 is the y intercept

It is located at (0,11)

The y intercept is much easier to find since we just need to read off the last value of the function (aka the constant value).

there are 5 yellow flowers there are red flowers.how many are in there all togerther

Answers

The total number of flowers is 8 flowers.

How to calculate the addition?

From the information given, there are 5 yellow flowers there are 3 red flowers.

It should be noted that in order to get the total value of the flowers, we have to add them. This will be:

Yellow flowers = 5

Red flowers = 3

Total flowers = Yellow + Red

= 5 + 3

= 8

The total flowers is 8.

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Complete question

There are 5 yellow flowers there are 3 red flowers.how many are in there all togerther

Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $35 to come to his house and $60 for every hour they work. If the plumber charges Jerald a total of $305, how many hours did the plumber work?

Write and solve an equation to determine the number of hours worked by the plumber.

35x + 60 = 305; x = 7 hours
35x − 60 = 305; x = 10.4 hours
60x + 35 = 305; x = 4.5 hours
60x − 35 = 305; x = 5.7 hours

Answers

Answer:

60x + 35; x = 4.5 hours

(x is not actually equal to 4.5, it is equal to 4.67)

Step-by-step explanation:

The description says that the plumber charges a one time fee of 35 dollars to come to someones house, and then 60 dollars an hour. The total pay is 305 dollars. x will be the number of hours that the plumber works.

60x + 35 = 305

Subtract 35 from both sides: 60x = 280

Divide by 60: x = 280/60

Simplify: x=14/3

Fraction to decimal: x=4.67

Answer: C (60x + 35 = 305; x = 4.5 hours)

It's right trust me! Wish you luck!

Brainliest?

In 2001 there were 6680​ electric-powered vehicles in use in the United States. In 1998 only 4760 electric vehicles were being used.   (​Source:  U. S. Energy Information​ Administration)


a.   Assume that the relationship between​ time, x, and number of​ electric-powered vehicles,​ y, is linear. Write an equation in​ slope-intercept form describing this relationship. Use ordered pairs of the form​ (years past 1998 comma number of​ vehicles).

Answers

An equation of slope-intercept form describing this relationship. Use ordered pairs of the form​ the equation, y = 640x + 4760

Since there were 4760 electric vehicles in 1998, when x=0 (indicating 0 years have passed since 1998), y=4760. There were 1,920 more electric vehicles on the road after three years. 1920 / 3 = 640 is the average rate of change every year. Between 1998 and 2001, there were 640 more automobiles every year.Our slope measures m=640. By dividing the change in y by 4760, or 1920, we can determine the slope.The y-intercept is just the starting point, or x=0. At this point, x=0. The y-intercept is shown here: (0, 4760). Equation of slope intercept: y = 640x + 4760 where b=4760.

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divide and find quotient
(a⁴-b⁴) ÷ (a+b)
(step by step explanation)​

Answers

Answer:

Step-by-step explanation:

(a⁴-b⁴)/(a-b)

using..(a+b²)=(a+b)(a-b)

=(a²+b²)(a²-b²)/(a-b)

=(a²+b²)(a+b)(a-b)/(a-b)

=(a²+b²)(a+b)

relative maxima and relative minima of the function f(x) = x^5 - 4x^3 + 3x^2 - 8x - 6

Answers

The relative maxima and relative minima of the function

f(x) = x^5 - 4x^3 + 3x^2 - 8x - 6

the relative maxima is -1.871the relative minima is 1.518

How to fine the relative maxima and minima

The relative minima and maxima is calculated

by differentiating the given function find the critical values or roots of the equationdifferentiate the second tiesubstitute the critical value that are real numbersthe critical value that gave a negative value is the maximathe critical value that gave a positive value is minima

The procedure is done as follows

x^5 - 4x^3 + 3x^2 - 8x - 6

differentiating gives

5x^4 - 12x^2 + 6x - 8

solving the equation for the critical values are

x₁ = 0.176 + 0.73i

x₂ = 0.176 - 0.73i

x₃ = 1.518

x₄ = -1.871

The second derivative

5x^4 - 12x^2 + 6x - 8

differentiating gives

20x^3 - 24x + 6

substituting x = 1.58

20 * 1.58^3 - 24 * 1.58 + 6

= 46.966 (positive hence minima)

substituting x = -1.871

20 * -1.871^3 - 24 * -1.871 + 6

= -169.9 (negative hence maxima)

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a campus radio station surveyed 500 students to determine the types of music they like. the survey revealed that 206 like rock, 161 like country, and 118 like jazz. moreover, 30 like rock and country, 27 like rock and jazz, 22 like country and jazz, and 11 like all three types of music. what is the probability that a randomly selected student likes jazz or country but not rock? note: a venn diagram may be useful here. a) 0.400 b) 0.300 c) 0.522 d) 0.262 e) 0.422 f) none of the above.

Answers

The probability that a randomly selected student likes neither rock nor country is taken as;

P(R' ∩ C') = 0.326

Let us denote them as follows;

Number that like to be rock music be - R

Number that like to be Country music be - C

Number that like to be Jazz music be - J

Thus, as we are given and we have;

R is equal to 206

C is equal to 161

J is equal to  118

P(R') =206

P(C') =161

P(R' ∩ C') = 0.326

So, now P is removed  

R ∩ C = 30 - 11 = 1

Hence the answer is none of the above

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A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. The professor has informed us that 8. 75 percent of her students received grades of a. What is the minimum score needed to receive a grade of a?.

Answers

The minimum score needed to receive a grade of A is 88.51

Let, X, be the scores of the student's

X follows Normal Distribution with mean = μ = 73 and standard deviation = σ = 11

The professor has informed us that 7.93 percent of her students received grades of A.

That is  P( X > a ) = 7.93% = 0.0793 .

We have to find a.

P( X > a ) = 7.93% = 0.0793

So, P( X <=  a ) = 1 - 0.0793 = 0.9207

Using function = NORMINV( probability , μ ,σ )

a = NORMINV( 0.9207, 73 , 11 ) = 88.51

The minimum score needed to receive a grade of A is 88.51

We have to find P( X <= 57.93 )

Using function = NORMDIST( x, μ , σ , 1 )

P( X <= 57.93 ) =NORMDIST( 57.93 , 73 , 11 , 1 ) = 0.0853 = 8.53%

8.53 percent of students failed the course

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f(x)=x^2. which of these is g(x)?

please help!

Answers

Answer: C

Step-by-step explanation:

g(5)=1

Three students ran for class president. lisa got 36 votes for class president. she got six times more votes than lauren. chandler got seven times more than lauren. how many votes did lauren get?

Answers

Lauren got 5 votes in class president election.

Number of votes Lisa got = 36

Let the number of votes of Lauren be x. So, forming the equation between the number of votes of Lisa and Lauren.

36 = x + 6x

Calculating the value of x from mentioned equation

36 = 7x

Rewriting the equation with 7 as denominator

x = 36/7

Performing division on Right Hand Side of the equation

x = 5.14

Rounding off the digits as number of votes will be whole number

x = 5

Based on the mentioned information, Lauren got 5 votes.

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Bobbi wants to buy a bandana that costs 3.75$ But she has only 7.75$ in her budget what is her budget deficit

Answers

The budget deficit is how much less the budget is to buy a thing, thus Bobbi has the budget deficit as $3.75 - $0.75 = $3.00 thus option (B) is correct.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

As per the given,

Cost of bandana = $3.75

Budget = $0.75

Budget deficit = $3.75 -$0.75

⇒ $3.00

Hence, "The budget deficit is how much less the budget is to buy a thing, thus Bobbi has the budget deficit as $3.75 - $0.75 = $3.00".

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The given question is incorrect, the correct question follows;

Bobbi wants to buy a bandanna that costs $3.75, but she has only $0.75 in her budget. What is her budget deficit?

A. $0.20

B.$ 3.00

C. $5.00

D.$4.50

Exercice 1 On remplit le réservoir d’eau. Voici la
quantité d’eau notée en fonction du temps écoulé :
Durée (min) 5 15 20 30
Volume (L) 36 108 142 210
1. a. Représenter graphiquement les données de ce tableau en mettant :
• en abscisses les durées : 1 cm pour 5 min.
• en ordonnées les quantités d’eau : 1 cm pour 24 L.

Answers

Answer:

55 L

Step-by-step explanation:

Can anyone write the equation of the graph?

Answers

The function of the graph is f(x) = |x - 3| + 5

How to find the equation of the graph line?

From the question, we have the graph that can be used in our computation:

Given that the graph is an absolute value graph

We start by calculating the vertex of the graph

In this case, the minimum point on the graph is located at the point (3, 5)

This means that

Vertex = (3, 5) i.e.  (h, k) = (3, 5)

Recall that the general form of an absolute value function is f(x) = |x - h| + k

Substitute the known values in the above equation

So, we have the following equation

f(x) = |x - 3| + 5

On the graph, we have

(x, f(x)) = (2, 6)

So, we have

6 = a|2 - 3| + 5

This gives

a = 1

So, we have

f(x) = 1 * |x - 3| + 5

Evaluate

f(x) = |x - 3| + 5

Hence, the equation of the graph represented by the figure is f(x) = |x - 3| + 5

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Help me find one possible solution to the inequality and show how it makes sense in the situation.

A yearbook company promises to give the junior class a picnic if they spend at least $28,000 on yearbooks and class rings. Each yearbook costs $35, and each class ring costs $140. How many yearbooks and class rings must the junior class buy to get their picnic?

here is the inequality: 35x + 140y ≥ 2800

Answers

Answer:A - 200

B - 1 Class Ring and 796 yearbooks

C - No, they would come up short 2800 dollars

Step-by-step explanation:

A textbook store sold a combined total of 423 psychology and math textbooks in a week. The number of psychology textbooks sold was two times the number of math textbooks sold. How many textbooks of each type were sold?

Answers

Taking into account the definition of a system of linear equations, the textbook store sold 141 math textbooks and 282 psychology textbooks.

System of linear equations

A system of linear equations is a set of linear equations (that is, a system of equations in which each equation is of the first degree) in which more than one unknown appears.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

This case

In this case, a system of linear equations must be proposed taking into account that:

"p" is the number of psychology textbooks sold."m" is the number of math textbooks sold.

You know:

A textbook store sold a combined total of 423 psychology and math textbooks in a week. The number of psychology textbooks sold was two times the number of math textbooks sold.

The system of equations to be solved is

p + m= 423

p=2m

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the second equation in the first one you get:

2m + m= 423

3m=423

m= 141

Substituting this value in the second equation you get:

p= 2m

p= 2×141

p= 282

Finally, 141 math textbooks and 282 psychology textbooks were sold by the textbook store.

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you are constructing a cardboard box from a piece of cardboard with the dimensions 4 m by 8 m. you then cut equal-size squares from each corner so you may fold the edges. what are the dimensions (in m) of the box with the largest volume?

Answers

The dimensions (in m) of the cardboard box with the largest volume is obtained as 2 m length.

Define the term largest volume?Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies. Volume is measured in cubic units like m3, cm3, in3, etc. Volume is sometimes referred to as capacity.

Dimensions of piece of cardboard;

Length  = 8 mWidth = 4 m.

Let the corner cut length be 'x',

New dimensions;

Length = 8 - 2x Width = 4 - 2xHeight = x

Volume = length x width x height

Put the values;

V = ( 8 - 2x ) (4 - 2x) x

Find the solution of the obtained quadratic equation by quadratic formula.

x = 0, 2 and 4.

As, x ≠ 0 and 4.

Thus, x = 2.

Thus, the dimensions (in m) of the box with the largest volume is obtained as 2 m length.

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Select the correct answer. Solve the following equation for x. x2 - 36 = 0

Answers

Answer:

Step-by-step explanation:

x2-36=0

+36       +36

x2=36

/2     /2

x=18

The length and width of a rectangle are consecutive integers. The perimeter of the
rectangle is 54 centimeters. Find the length and width of the rectangle.

Answers

Answer:

length = 13 cm , width = 14 cm

Step-by-step explanation:

let the length be n , then the width is n + 1

the perimeter (P) of a rectangle is calculated as

P = 2(l + w) ← l is the length and w the width

given P = 54 , then

2(n + n + 1) = 54 ( divide both sides by 2 )

2n + 1 = 27 ( subtract 1 from both sides )

2n = 26 ( divide both sides by 2 )

n = 13

n + 1 = 13 + 1 = 14

so, length = 13 cm and width = 14 cm

help meeeeeeeeeee pleaseeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The perfect square trinomial is x² + 10x + [tex] \boxed{\sf 25} [/tex]The factored perfect square trinomial is [tex] \boxed{\sf (x + 5)(x + 5) \ or \ {(x + 5)}^2} [/tex]

Step-by-step explanation:

Given:

Binomial: x² + 10x

To Find:

Constant that should be added to the binomial so that it becomes a perfect square trinomial.Factor the trinomial.

Solution:

To find the constant we would compare the binomial with (a + b)² i.e. a² + 2ab + b² as it is the formula for perfect square.

By comparing we get:

a² = x²

2ab = 10x

b² = constant (To find out)

From this we can make out:

a = x

[tex] \therefore[/tex]

[tex] \rm \implies 2 \times x \times b = 10x \\ \\ \rm \implies b = \frac{10x}{2x} \\ \\ \rm \implies b = 5 \\ \\ \therefore \\ \\ \rm \implies {b}^{2} = 25[/tex]

So, constant that should be added to the binomial so that it becomes a perfect square trinomial is [tex] \boxed{\rm 25} [/tex].

Perfect square trinomial is x² + 10x + 25

Factorisation of the trinomial:

[tex] \rm \implies {x}^{2} + 10x + 25 \\ \\ \rm \implies {x}^{2} + 10x + {5}^{2} \\ \\ \rm \implies {x}^{2} + 5x + 5x + {5}^{2} \\ \\ \rm \implies x(x + 5) + 5(x + 5) \\ \\ \rm \implies (x + 5)(x + 5) \\ \\ \rm \implies {(x + 5)}^{2} [/tex]

Graph the line that passes through the points (-9,8) and (-7,8) and determine the equation of the line

Answers

ans=y=8

look for the gradient

[tex] \frac{change \: in \: y}{change \: in \: x?} [/tex]

change in y

8-8=0

change in x

-7--9=2

hence the gradient is 0÷2=0

looking for the equation

gradient(0)=

[tex] \frac{y - 8}{x - - 9?} [/tex]

so..,0=y-8

hence the equation is y=8

Question 1 of 10
Which of the following is the solution to | x1-2 ≤-3?
O A. All values are solutions
OB. xs-1 and x 25
OC. xs-1
OD. No solution

Answers

x = -1 is the solution to the given inequality |x| - 2 ≤ -3.

The five steps to resolving inequalities are as follows?

When addressing an inequality, we can:

Equal numbers are added to both sides.Take the same amount away from both sides.Add the same positive number to both sides.Subtract the same positive value from both sides.Reverse the sign and multiply both sides by the same negative value.

Isolate the variable on one side of the inequality and place all other constants on the other. To achieve this, alter the inequality by performing opposing procedures. First, multiply each side by two to isolate the x. Any action you take toward one side must also be taken toward the other.

C) If x = -1,

|x| - 2 ≤ -3

|-1| - 2 ≤ -3.

1 - 2 ≤ -3.

-1 ≤ -3 which is true.

Hence, x = -1 is the solution to the given inequality |x| - 2 ≤ -3.

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6. The supplement of an angle is 8 less than three times the measure of the angle. Find
the measure of both angles.
X =180
m/1=
m/2 =

Answers

By using the concept of supplementary angle, it can be calculated that

The two angles are 47° and 133°

What are supplementary angles?

At first it is important to know about angle.

When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle.

Two angles are said to be supplementary if the sum of the angles is 180°

Let one angle be x

Other angle = 180 - x

The supplement of an angle is 8 less than three times the measure of the angle

By the problem

180 - x = 3x - 8

3x + x = 180 + 8

4x = 188

x = [tex]\frac{188}{4}[/tex]

x = 47°

Other angle = 180 - 47 = 133°

The two angles are 47° and 133°

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mandy begins bicycling west at 30 miles per hour at 11:00 a.m. if liz leaves from the same point 20 minutes later bicycling west at 36 miles per hour, when will she catch mandy?

Answers

The time at which Liz will catch up with Mandy is 1 pm.

Here we have to find the time when Mandy and Liz meet.

Let t be the time taken by Liz to meet Mandy

Given:

Speed of Mandy = 30mile/hr

Speed of Liz = 36 miles/hr

Formula:

Speed = Distance/ time

Distance by Mandy = 30t

Distance by Liz = 36( t - 20/60)

As the distance covered by both is the same. So we have

30t = 36( t - 1/3)

6t = 12

t = 2

2 hours past 11 am is 1 pm.

Therefore Liz catch Mandy at 1 pm.

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Find side x to one decimal place

Answers

Answer:

10.8 cm

Step-by-step explanation:

To solve this answer, we should use sine law.

[tex]\frac{SinA}{a}[/tex]=[tex]\frac{SinB}{b}[/tex]

[tex]\frac{Sin40}{7}[/tex]=[tex]\frac{Sin81}{x}[/tex]   (cross multiply)

xSin40 = 7Sin81

xSin = [tex]\frac{7Sin81}{40}[/tex]

x= [tex]\frac{7Sin81}{Sin40}[/tex]

x= 10.8 cm

Your Spanish club is selling T-shirts for $20 each. The club has $400 in its account left over
from last year and needs to have a total of $2000 for a trip. How many T-shirts does your club
need to sell to reach its goal of $2000.
Had:
T-shirts:
otal:

Answers

Answer:

80

Step-by-step explanation:

first you need to substract 400 from 2000, then you divide the remaining by 20

Two cyclists are 7 miles apart when they begin biking away from each other in
opposite directions. The speed of the first cyclist is 12 miles
per hour. The speed of
the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many
miles does the second cyclist bike in 45 minutes?

Answers

The distance covered by second cyclist is, 9 + (3/4)b miles.

What is speed?

Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be meters per second (m/s) in this example since the distance is measured in meters (m) and the time is measured in seconds (s).

Given: Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions.

The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.

Speed of first cyclist = 12 miles per hour.

Speed of second cyclist = 12 + b miles per hour.

Since, distance = speed x time

The distance covered by the second cyclist in 45 minutes is,

45 minutes = 45/60 = 3/4 hour.

Therefore, distance covered by second cyclist is,

=  (12 + b) x 3/4 = 9 + 3b/4 miles.

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a car is traveling at 57 mi/h before it enters into a skid. the drag factor of the road surface is 1.1, and the braking efficiency is 100%. how long might the average skid mark be to the nearest tenth of a foot?

Answers

The average skid mark for the car is 98.5 feet.

The average skid mark can be calculated by the formula -

S = ✓30Dfn, where s is speed of car, D is skid distance, f is drag factor and n is braking efficiency. Keep the values in formula to calculate the value of D.

57 = ✓30 × D × 1.1 × 1

Performing multiplication on Right Hand Side of the equation

57 = ✓D × 33

Taking square on both sides of the equation

D = 57² ÷ 33

Taking square on numerator on Right Hand Side of the equation

D = 3249 ÷ 33

Performing division on Right Hand Side of the equation

D = 98.45 feet

Rounding to the nearest tenth of a foot

D = 98.5 feet

Hence, the average skid mark is 98.5 feet.

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bob can do a job in 5 hours while bill can do the same job in 8 hours. how many hours would it take them, working together, to do this job?

Answers

Hours taken by Bob and Bill if they work together is 3 1/13.

Here it is given that Bob can do a job in 5 hours and Bill can do the job in 8 hours.

We have to find the time taken by both to do the work if done together.

Time ratio of Bob and Bill = 5: 8

Efficiency of Bob and Bill = 8: 5

Total amount of work done = 5× 8 = 8× 5 = 40

The total efficiency of Bob and Bill = 13

Hours took by both bob and bill to do the work if done together = 40/13

                                                                                                              = 3 [tex]\frac{1}{13}[/tex]

Therefore the work done together is 3 [tex]\frac{1}{13}[/tex] hours.

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Use the remainder theorem to find P(-1) for P(x) = −x³ – 2x² −9. Specifically, give the quotient and the remainder for the associated division and the value of P(-1).​

Answers

Using remainder theorem, Quotient = x-9 and Remainder = x² - x.

According to the remainder theorem, the remainder equals f when a polynomial, p(x), is divided by (x - a) (a). Euclid's Division Lemma can be used to demonstrate this. Using this, p(x) = q(x) (x - a) + r, where q(x) is the quotient and 'r' is the remainder.Remainder Theorem is a method for dividing polynomials according to Euclidean geometry. This theorem states that when a polynomial P(x) is divided by a factor (x - a), which isn't really an element of the polynomial, a smaller polynomial is produced along with a remainder.

P(x) = −x³ – 2x² −9

P(-1) = −(-1)³ – (-1)x² −9

P(-1) = −(-1) – 2(1) −9

= 1 -2 -9

= -10

Remainder of  P(-1) = −(-1)³ – (-1)x² −9 is -10.

Remainder of P(x+1)

= −x³ – 2x² −9 / x+1

Quotient = x-9 and Remainder = x² - x

Hence, using remainder theorem, Quotient = x-9 and Remainder = x² - x.

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