2) Find the remainder when x3 + x2 - 20 is divided by
(x + 2) by using remainder theorem.
{ANS: R = -24}​

Answers

Answer 1

Answer:

Remainder = –24

Step-by-step explanation:

x³ + x² – 20 divide by x + 2

We can obtain the remainder when

x³ + x² – 20 is divided by x + 2 using the remainder theorem as follow:

We'll begin by calculating the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the remainder by substituting –2 for x in

x³ + x² – 20. This is illustrated below:

x³ + x² – 20

x = –2

Remainder = (–2)³ + (–2)² – 20

Remainder = –8 + 4 – 20

Remainder = –24

Therefore, the ramainder when

x³ + x² – 20 is divided by x + 2 is –24


Related Questions

please can someone help me with this

Answers

9514 1404 393

Answer:

  1583.4 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

The radius is half the diameter, so is (12 ft)/2 = 6 ft. Then the volume is ...

  V = π(6 ft)²(14 ft) ≈ 1583.4 ft³

_____

Additional comment

The number shown in the problem statement answer box is the number you would get using the diameter in the above formula instead of the radius.

The volume of cylinder is 1583.4ft³.

Step-by-step explanation:

Given that :-

Height of cylinder = 14 ft

Base diameter if cylinder = 12 ft

so, Radius of cylinder, r = 12 / 2 = 6 ft

To find :-

Volume of cylinder

Solution :-

Using formula

Volume of cylinder = π × r² × h

Substitute the value

Volume of cylinder = π × (6ft)² × 14 ft

evaluate the exponent

Volume of cylinder = π × 36 ft ² × 14ft

multiply

Volume of cylinder = π × 504 ft³

Using , π = 3.14

Volume of cylinder = 3.14 × 504 ft³

Hence, the volume of cylinder is 1582.56ft³.

Round nearest tenth place = 1583.4 ft³.


Find the surface area and no links

Answers

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is the remainder when 3x^2-7x+5 is divided by x+5

Answers

answer

f(-5)=115

Step-by-step explanation:

x+5=0

x=-5

f(x)=3x^2-7x+5

f(-5)=3*(-5)^2-7(-5)+5

f(-5)=3*25+35+5

f(-5)=115

When solving the equation x2 – 8x - 7 = ( by completing
the square, which equation is a step in the process?

Answers

Step-by-step explanation:

x²– 8x - 7 = 0

(x²-8x+16) -7 = 16

(x²-8x+16) = 16+7

(x-4)² = 23

x-4 = √23

so x= 4+√23 or x= -4√23

X^2-8x-7=0
Add 7 to both sides
X^2-8x=7
Now use formula
(B/2a)^2
(-8/2)^2= 16
Add 16 to left subtract from right to get
X^2-8x+16=-9
Now factor into
(X-4)^2=-9
For your final answer

Plz help me ASAP!!!! No files plzzzzzz. PLZZ and THX!

Answers

Answer:

y = 1x - 5

Step-by-step explanation:

We will use the slope equation for this: y = mx + b

y is our output/answer

m is our slope, or the rate of change

x is our x coordinate. For example, in (3,2) x would be 3.

b is our y intercept, or where the line passes through the y axis.

Knowing this, we can fill out the blanks.

when we look at one point on the grid, and then find the next closest number from the point we chose, we can see that the slope is 1 so we now have: y = 1x + b

to find b, we find where the line passes over the y axis which on our grid is -5. Normally we would write: y = 1x + 5 Since we have a negative 5 or -5, we will change the + to a -

This means we write y = 1x -5.

I hope this helps you and have a great day :D

Select the correct graph.
Which graph is the graph of function
f(x) =4^x

Answers

The graph should look like this.

Answer:

the question on top is right

Step-by-step explanation:

Brainliest goes to whoever answers correctly and explains

Answers

Answer:

The answers are below

Step-by-step explanation:

1 - 6ft

2 - 8 years

3 - 9ft

Where is it saves three times as much money as Anna. If a represents Anna savings. Which relationship shows how much money they have saved, S, together

Answers

Answer:

S = 4a

Step-by-step explanation:

Rosa saves three times as much money as Anna. If a represents Anna's savings, which relationship shows how much money they have saved,

together?

Let

S = Total money they have saved,

together

a = Anna's savings

Rosa saves three times as much money as Anna

Rosa = 3 * a

= 3a

Total savings = Anna's savings + Rosa's savings

S = a + 3a

S = 4a

What is the value of a in the equation 38+ B equals 54 would b equals nine

Answers

Answer:

If you want to know what b is then it is 16

Step-by-step explanation:

38 + b = 54

54- 38 = 16

38 + 16= 54

Which graph shows a system of equations with a solution at (-1,1)?
A)
B)
C)
D)

Answers

Answer:

[tex]{ \tt{the \: solution \: of \: above \: graph \: is \: ( - 1, \: - 1.5)}}[/tex]

What is the experimental probability of popping a polka dot balloon? Express your answer as a fraction,decimal, and percent

Answers

Answer:

Experimental probability [popping a polka dot balloon] = 1 / 8

Step-by-step explanation:

Missing information;

Number of striped balloons = 17  

Number of solid balloons = 18  

Number of polka dot balloons = 5

F ind:

Experimental probability [popping a polka dot balloon]

Computation:

Experimental probability [popping a polka dot balloon] = Number of polka dot balloons / Total number of balloons

Experimental probability [popping a polka dot balloon] = 5 / [17 + 18 + 5]

Experimental probability [popping a polka dot balloon] = 5 / 40

Experimental probability [popping a polka dot balloon] = 1 / 8

A parachutist's speed during a free fall reaches 50 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist
fall during 5 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.

Answers

Answer:

speed of parachutists will be 50×3.3= 165 feet per second.

Step-by-step explanation:

hence distance traveled = speed × time taken

=165×5

=825 feet

74 + -28 =[find the difference and put the sign of big number]

Answers

Answer:

It should be 74+(-28) as 2 signs can bit be put together.

74+(-28)

=74-28 (sign only changes when there is (minus) before it

=48

We are not putting a minius (-) as 74 is digger that 28 and it has plus (+) before it.

I HOPE IT HELPS

HAVE A GREAT DAY

[tex]#Liliflim✌[/tex]

The sum of a number is
4 less then 2 times a
number is 35 what is the number?

Answers

Answer:

21.5

Step-by-step explanation:35 divided by 2 = 17.517.5 + 4 = 21.5Just do the inverse

por favor, me urge hacerla​

Answers

Answer: do you have this in english so that I can help

Step-by-step explanation:

HELP WITH THIS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B., E.

Step-by-step explanation:

what was the difficulty ? this is just to understand the movement of a thrown rock.

what happens, when you throw a rock through the air ? it will first move up a little bit, reaches a maximum height, and then drops down again.

that is what the graphic shows.

so, can A. be correct ? no. as we move from 0 seconds to the right (time passes) the height of the rock increases first (before decreasing again later on).

can C. be correct ? no, it would mean that the function would look the same on both sides of the x-axis. this is clearly impossible.

can D. be correct ? no, nowhere in the graph is the height (= the functional value, the y to the x) negative.

can F. be correct ? no, we clearly see the maximum height at 1.5 seconds. at 3 seconds the height is actually at its minimum.

This circle graph shows the percent of land occupied by each continent.
The area of North America is approximately 220 million km2
.

Use the percents in the circle graph.
Find the approximate area of each of the other continents,
to the nearest million square kilometres.

Answers

The approximate areas of the continents (excluding North America) are as follows:

- Australia: 11 million km^2

- Europe: 15 million km^2

- Antarctica: 18 million km^2

- South America: 26 million km^2

- Africa: 44 million km^2

- Asia: 66 million km^2

To find the approximate area of each continent, we will multiply the given percentages by the area of North America (220 million km^2).

1. Australia:

Percentage: 5%

Approximate area: 0.05 * 220 million km^2 = 11 million km^2

2. Europe:

Percentage: 7%

Approximate area: 0.07 * 220 million km^2 = 15.4 million km^2 (rounded to 15 million km^2)

3. Antarctica:

Percentage: 8%

Approximate area: 0.08 * 220 million km^2 = 17.6 million km^2 (rounded to 18 million km^2)

4. South America:

Percentage: 12%

Approximate area: 0.12 * 220 million km^2 = 26.4 million km^2 (rounded to 26 million km^2)

5. Africa:

Percentage: 20%

Approximate area: 0.20 * 220 million km^2 = 44 million km^2

6. Asia:

Percentage: 30%

Approximate area: 0.30 * 220 million km^2 = 66 million km^2

Note: These values are rounded to the nearest million square kilometers.

For more such questions on continents

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Abby went camping with her family. She left her campsite to look for firewood. She walked 54 feet east and then walked 37 feet north. How far is Abby from the campsite?

Answers

Answer:

65.45 feet

Step-by-step explanation:

According to the Question,

Given, Abby went camping with her family. She left her campsite to look for firewood. She walked 54 feet east and then walked 37 feet north .

(Please find Diagram in Attachment)

A Right Angle Triangle ABC is formed by above-given data .

So, By Phythagoras Theorem,

AC² = BC² + AB²

X² = 37² + 54²

X² = 4285 ⇔ √4285 ⇒ 65.45 feet

what is the difference between the domain and the range of a function?

Answers

Answer:

The domain is all the x values of a function while the range is all the y values of a function.

Answer:

Step-by-step explanation:

The domain of a function is the set of input (x-) values for which the function is defined.  The range is the set of output (y-) values; often there are limitations.

For example, the sine function y = sin x is defined for all real x; for every input x, there is a corresponding output y.  The sine function has a limited range in that the minimum value of the sine is -1 and the max is +1.  There is no graph above y = -1 or below y = +1.

If m and n are rational numbers such that root m + root n = root 7+ 48, calculate the possible
value of m^2+n^2?.

Answers

Answer:

2353

Step-by-step explanation:

7^2+48^=2353

There are 4 000 people at a concert. 70% of these bought their tickets in advance. How many people at the concert bought tickets in advance?

Answers

2,800 is the answer because u multiple 70 percent times 4,000

As per linear equation, the number of people who bought ticket in advance is 2800.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1."

Given, the number of people is 4000.

70% of the people bought ticket in advance.

Therefore, the number of people who bought ticket in advance is

[tex]= \frac{4000(70)}{100}\\ = 2800[/tex]

Learn more about linear equation here: https://brainly.com/question/9403663

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If you place a 24-foot ladder against the top of a 20-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot. Delta math answer only :)

Answers

40 would be rounded to the nearest tenth

Hi, My answer is correct but I want to know how did I found 72 as the correct answer. Thanks already :) and please don't put any link

Answers

Answer:

Lol its just 48 divided by 2/3 and u get 72

Step-by-step explanation:

If you can give Brainiest answer it would be much help :)

HELP ME RN PLZ
The results of a survey are shown. 30 students said
their favorite dessert is pie. How many people
were surveyed? (image)

A. 75
B. 105
C. 200
D. 450

Answers

30/15 means for every 1%, 2 ppl were surveyed. This means 200 ppl were surveyed, therefore, C is your answer.

Find the area of each parallelogram.

Answers

Answer:

1 is 45yd²

2 is 21in²

3 is 63in²

4 is 20ft²

5 is 48yd²

write 36m÷9m in standard form

Answers

4x^2. This is the simplified answer

The expression (36m ÷ 9m) is equivalent to 4.

What is division in mathematics? What is a mathematical function, equation and expression?division : Division is the process of splitting a number or an amount into equal parts.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the following division as follows -

(36m ÷ 9m)

We have the following expression -

36m ÷ 9m

So, we can write -

(36m/9m)

36/9

4

Therefore, the expression (36m ÷ 9m) is equivalent to 4.

To solve more questions on functions, expressions and polynomials, visit the link below -

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A 1.5 Kg ball is thrown at 10 m/s. What is the ball's momentum?

Answers

Answer:

the ball's momentum is 10 × 1.5 = 15 kg m/s

Step-by-step explanation:

. Population of Sunder Nager was 235471 in the year 1991. In the year 2001 it was found to be increased by 72598. The population of the city in 2001 is

Answers

Answer:

population of sundarnagar is 235471 in the year 1991. In the year 2001 it increased by 72958. we should add these two numbers. therefore the population of the city in 2001 is 3,08,429

An artist made a 54-inch-tall statue of a former president. If the president was 6 feet tall, what scale did the artist use?

Answers

Answer:

[tex]1\text{ inch}=\frac{1}{9}\text{ foot}[/tex]

Step-by-step explanation:

To get a scale of inches to feet, divide both 54 and 6 by 54:

[tex]54\:\text{inches}=6\:\text{feet},\\\implies 1\:\text{inch}=\frac{6}{54}\:\text{ft}\implies \boxed{1\:\text{inch}=\frac{1}{9}\:\text{foot}}[/tex]

Use the graph at the top to figure out the question. If someone could help they would be great! And brainliest. Please help

Answers

Answer:

A) $24

Step-by-step explanation:

Looking at the graph, each gallon of gasoline is $3. Therefore, the equation would be y = 3x. To solve for 8 gallons, substitute the value into the equation.

y = 3(8) = 24

Therefore, the cost of 8 gallons of gasoline would be $24.

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