Find the remainder when (2x^2 +2x+1) is divided by ( x+1)

Answers

Answer 1

Use the remainder theorem, which says the remainder upon dividing a polynomial [tex]p(x)[/tex] by [tex]x-c[/tex] is exactly [tex]p(c)[/tex]. In this case,

[tex]p(x)=2x^2+2x+1[/tex]

[tex]c=-1[/tex]

[tex]\implies p(c)=2(-1)^2+2(-1)+1=\boxed{1}[/tex]


Related Questions

Please help! (Question in picture)

Answers

The answer is C. You just simplify all of the terms.

I think it is C but i'm not entirely sure sorry if its wrong gotta go

Make y the subject of the following: 7(y-3)=4(3-y) no spamming

Answers

Answer:

              y = 3

Step-by-step explanation:

7(y - 3) = 4(3-y)

7y - 21  = 12 - 4y

   +4y        +4y

11y - 21  = 12

   +21       +21

 11y  =  33

  ÷11      ÷11

  y = 3

“c.” isnt part of the question fyi
this is for AP Calculus

Answers

Answer:

  -2/3

Step-by-step explanation:

  [tex]\ln{\dfrac{1}{\sqrt[3]{e^2}}}=\ln{e^{-\frac{2}{3}}}=-\dfrac{2}{3}[/tex]

Which type of conic section is described by the equation 4x^2 = 10 +y^2? Due in 2 HOURS, will give BRAINLIEST! A. Ellipse B. Circle C. Parabola D. Hyperbola

Answers

Answer:

c

Step-by-step explanation:

Hyperbola is the conic section described by the equation 4x² = 10 +y²

What is Parabola?

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

To identify the type of conic section from an equation whether it is circle, or ellipse a let suppose the equation as,

Ax²+By²+Cx+Dy+E=0

The given equation is 4x² = 10 +y²

4x²-y²=10

Divide the whole equation by 10

4x²/10 - y²/10=1

2x²/5- y²/10=1

x²/(1/2)- y²/10=1

The given equation is in the form of hyperbola.

Hence, hyperbola is the conic section described by the equation 4x² = 10 +y²

To learn more on Conic sections click:

https://brainly.com/question/26941599

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easy 10 points and brainliest!

Answers

Answer:

x must be 0

Step-by-step explanation:

because if there is any point that is on the y axis that would mean that it would be dirrectly on the line and that would be the equivslent of x = 0

Answer:

x = 0

Step-by-step explanation:

If the point (x,y) is on the y-axis, that means the x coordinate is 0.  The point can travel vertically anywhere on the axis, but not left or right of the axis.

Cheers.

Help please thank youu <3

Answers

Answer:

4. 10m+50=200

Step-by-step explanation:

10m meaning hes getting 10 each month that's why the m is there and on too he is getting another 50 which is why you would need to add 50 and obviously a total of 200 is at the end

Answer:

4) 10m+50 = 200

Step-by-step explanation:

As here "m" denotes "month" , Maxs save $10 a month so it is - 10m .

$50 for grandma and he need to save $200.

So we get the equation :

10m+50=200

given the expotential function f(x) = 4(3)^x find f(0) and f(1)

Answers

Answer:

4 and 12

Step-by-step explanation:

Given

f(x) = 4[tex](3)^{x}[/tex] , then

f(0) = 4[tex](3)^{0}[/tex] = 4 × 1 = 4 [ [tex]a^{0}[/tex] = 1 ]

f(1) = 4[tex](3)^{1}[/tex] = 4 × 3 = 12

determine the prime factors of 84 in tree map​

Answers

Step-by-step explanation:

I hope i got it right...

Can someone please help?

Answers

Answer:

x² - 1

Step-by-step explanation:

When x - 1 = 3 and x + 1 = 5 we know that x = 4 so (x - 1)(x + 1) = 4² - 1 when x = 4, 5² - 1 when x = 5 and so on. If you look carefully you will notice a pattern, the product is always x² - 1 so the answer to the blank is x² - 1.

WILL GIVE BRAINLIEST TO THE FORST PERSON WHO ANSWERS THIS!! In the diagram below, lines AB and ED are parallel. Angle < BCD is a right angle and < CBF = 125 Find angle CDE.

Answers

Answer:

35°

Step-by-step explanation:

Produce BC in the direction of C which intersects DE at any point say P.

AB || ED... (given)

So, BP would be transversal.

[tex] \therefore m\angle DPB + m\angle FBP = 180\degree\\... (By\: interior \: \angle \: Postulate) \\

\therefore m\angle DPB + 125\degree = 180\degree\\

\therefore m\angle DPB = 180\degree - 125\degree \\

\huge \red {\boxed {\therefore m\angle DPB = 55\degree}} \\

m\angle DCP = 180\degree - 90\degree \\

m\angle DCP = 90\degree \\

x = 180\degree - (90\degree + 55\degree) \\

x = 180\degree - 145\degree \\

x = 35\degree [/tex]

The value of x or the angle CDE will be 35 degrees.

What is the opposite angle theorem?

The theorem of vertical angles or angles that are vertically opposing According to the theorem, two opposing vertical angles that are created when two lines cross one other are always equal to one another.

Given that the angle CBF is 125 degrees. The value of the angle CDE will be calculated as below:-

Calculate angle ABC by using supplement angle property:-

∠ABC = 180 - 125 = 55

Draw a horizontal line PQ at point C.

Angle PCQ = 35

Angle CDE = 35

Therefore, the value of x or the angle CDE will be 35 degrees.

To know more about the opposite angle theorem follow

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Whats the answer? 8(2 ÷ 2) = 2(8 ÷ 2) A. 6=6 B. 4=4 C. 8=8

Answers

The answer is c 8=8 because 2/2=1x8=8 and 8/2=4x2=8 so it is c 8=8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 = 8}}}}}[/tex]

Option C is the correct option

Step-by-step explanation:

[tex] \sf{8(2 \div 2) = 2(8 \div 2)}[/tex]

Left hand side ( L.H.S )

⇒[tex] \sf{8(2 \div 2)}[/tex]

Divide 2 by 2

⇒[tex] \sf{8 \times 1}[/tex]

Multiply the numbers : 8 and 1

⇒[tex] \sf{8}[/tex]

Again, Right hand side ( R.H.S )

[tex] \sf{2(8 \div 2)}[/tex]

Divide 8 by 2

⇒[tex] \sf{2 \times 4}[/tex]

Multiply the numbers : 2 and 4

⇒[tex] \sf{8} [/tex]

8 = 8

Hope I helped!

Best regards!!

calculate the mid points of the line segments below using the midpoint formula given two endpoints (9,7) (-8, 10)​

Answers

Answer: (0.5, 8.5)

Step-by-step explanation: (9+-8/2) is 1/2 and (7 + 10/ 2) is 8.5. After plugging it into the equation, I checked with a graphing site.

Plz plz ans this with explanation

Answers

Answer:

D

Step-by-step explanation:

Least common denominator of 7 and 8 = 56

[tex]\frac{-1}{8}=\frac{-1*7}{8*7}=\frac{-7}{56}\\\\\\\frac{1}{8}=\frac{1*7}{8*7}=\frac{7}{56}\\\\\\\frac{-1}{7}=\frac{-1*8}{7*8}=\frac{-8}{56}\\\\\\\frac{1}{7}=\frac{1*8}{7*8}=\frac{8}{56}[/tex]

-8/56   , -7/56 , 7/56 ,   8/56  ,

-1/7 , -1/8 , 1/8 , 1/7

The speed(S) of a car varies partly directly as its mass(M) and partly directly as the quantity (Q) of fuel in it. When the speed is 80km/hr, the mass is 220kg and the quantity of fuel is 30litres, when the speed is 60km/hr, the mass is 300kg and the quantity of fuel is 40 litres. Find the volume of fuel if the speed is 100km/hr and the mass 250kg​

Answers

Answer:

S varies partly directly as M and Q.

S=C.

S=KMQ+C.

For the first one...

speed=80,m=220,Q=30.

80=K20×30+C.

80=600K+C......(I).equation one.

For the second one....

speed=60,m=300,Q=40.

60=K300×40+C.

60=12000K+C.....(ii). equation two.

Minus eqtn(I) from eqtn(ii).

80=600K+C.

- 60=12000K+C.

K=0.01754~0.018.

Substitute K=0.018 into eqtn(I).

80=600K+C

80=600×0.018+C.

80=10.8+C.

C=80-10.8=69.2.

The relation is S=0.018MQ+69.2

when speed is 100 and mass is 250 find the volume.

100=0.018×250×Q+69.2.

100=4.5Q+69.2.

4.5Q=100-69.2

4.5Q=30.8.

Q=30.8/4.5.

Q=6.8~7litres.

A square piece of cheese covers 8 square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.) (4 points)

Answers

Greetings from Brasil...

According to the statement, we can conclude that 1 square (of cheese) has 8in²

The area of a square is given by the expression:

A = S²

where S is the side of the square - just what we want to know

So:

A = S²

8 = S²

√8 = S

S ≈ 2.83in

ALGEBRA 1: HELP ME PLEASE 20POINTS

When a value for x is put into the machine, a value for y comes out. That output then becomes the input for another machine. An example is shown at the bottom.
What is the output from the second function machine? Explain.

Answers

Here you go queen/king hope this helps!

What is the area of the wreck site?

Answers

Answer:

where is the photo?

Step-by-step explanation:

Where is the photo, I need you to give me more details so i can officially answer your question, thank you :)

helppppp
Simplify (93 - √25+? 42
÷ 8)2
** show all of your steps using order of operation

Answers

Answer:

186.5 + 2x

Step-by-step explanation:

First, radify 25. Luckily it's a perfect square so it will be 5.

Second, divide within the parentheses. You're expression should look like this.

(93-5+x+42/8)2

Divide 42/8. The decimal form would be 5.25, while the fraction should be 5 1/4.

Third, solve within the parentheses from left to right. Right now you're expression should look like this:

(93-5+x+5.25)2

Add all like terms

93-5+5.25=93.25

Fourth, multiply. Right now the expression should look like this:

(93.25 + x) 2

186.5 + 2x

someone help me please

Answers

Answer:

-x^2 + 2x + 1

Step-by-step explanation:

Standard form of a polynomial is Ax^2 + Bx + C. (Highest degree to lowest degree)

-x^2 + 2x + 1.

∠A and ∠B are complementary angles. If the measure of ∠A is 42°, find the measure of ∠B.

Answers

Answer:

∠B = 48°

Step-by-step explanation:

Since ∠A and ∠B are complementary angles their angles sum up to 90°.

In order to find ∠B add both ∠A and ∠B and equate them to 90° and solve for ∠B

That's

∠A + ∠B = 90

42 + ∠B = 90

∠B = 90 - 42

We have the final answer as

∠B = 48°

Hope this helps you

Answer:

∠B = 48°

Step-by-step explanation:

A Complementary angles are total of 90°

If the measure of ∠A is 42°, find the measure of ∠B:

∠A + ∠B = 90°

42° + ∠B = 90°

∠B = 90° - 42°

∠B = 48°

What are the differences and similarities between a bar graph and a histogram?

Answers

Answer:

With bar charts, each column represents a group defined by a categorical variable; and with histograms, each column represents a group defined by a continuous, quantitative variable.

Step-by-step explanation:

hope that helps

Please helpppp meeee

Answers

Answer:

AB=62, BC=61, AC=57, PR=75, PQ=52.5, QR=52.5

Step-by-step explanation:

which best describes how to solve the equation below 64x = 37

Answers

Answer: Division

Step-by-step explanation: divide both sides by 64

divide it step by step

Simplify the expression 7 - X-(-5x) - 10 + 4x.

Answers

7-x-(-5x)-10+4x
=7-x+5x-10+4x
= -x+5x+4x+7-10
=4x+4x-3
=8x-3

Hope this can help.

Li uses 8.4 grams of sugar every day in her tea. Sue uses 12.6 grams of sugar every day in her coffee. If Li’s sugar canister contains 128 grams of sugar and Sue’s canister contains 191 grams, in how many days will Li and Sue have the same amount of sugar in their canisters?

Answers

Answer:

They will have the same amount of sugar in their canisters in 15 days

Step-by-step explanation:

Here in this question, we are concerned with knowing the number of days in which the amount of sugar in both canisters will be the same.

Since we do not know the number of days it will take, we have to represent it using a variable.

Let the number of days be x days

Now, we are told Li uses 8.4 g per day.

So in x days, the amount user will be 8.4 * x = 8.4x g

Thus, the amount of sugar remaining in her canister after x days will be 128 - 8.4x

For Sue, she uses 12.6 grams each day. So in x days, the amount of sugar used will be 12.6 * x = 12.6x g

So the amount of sugar left in her canister will be 191-12.6x

Since on the xth day , the amount of sugar remaining is same, we can equate the amount of sugar remaining in both canisters. That would be;

128-8.4x =191-12.6x

Collect like terms;

12.6x-8.4x = 191-128

4.2x = 63

x = 63/4.2

x = 15 days

-9x+10y = -18
3x- y =6
Elimination

Answers

Answer: x = 2 and y = 0

Explanation:

-9x + 10y = -18
3x - y = 6
————————
-9x + 10y = -18
10(3x - y = 6)
————————
-9x + 10y = -18
30x - 10y = 60
————————-
21x = 42
x = 42/21
x = 2

Find y:

3x - y = 6
3(2) - y = 6
6 - y = 6
-y = 6 - 6
-y = 0
y = 0

Step-by-step explanation:

Hey, there!!

To solve this type of equation it is very easy from elimination method,

Firsty, you try to search if there is opposite sign of same variables or not in both equation. Then find their LCM to make easy to cancel.And thirdly add or subtract the terms to get value of one variable. Then substitute the value of one variable to get value of another variable.

Here, the given equation are,

-9x+10y = -18..........(i)

3x-y = 6....................(ii)

Let's take LCM to solve for x.

To solve for "x" we must cancel "y".

LCM= 10 { lcm of 1 and 10 is 1}

So, let's multiply equation (ii) by 10 and add them.

Then,

-9x + 10y = -18

30x - 10y = 60

21x = 42 { as +10y and -10y gets cancelled}

[tex]x = \frac{42}{21} [/tex]

Therefore, x= 2.

Substituting the value of x in equation (i)

-9x + 10y = -18

-9 × 2 +10y = -18

-18 + 10y = -18

or, 10y = -18 +18

Therefore, y= 0.

So, the value of x is 2 and y is 0.

Hope it helps...

Inverse Function f(x)= 5 -1/3x

Answers

Answer:

f(x)⁻¹ = -3x + 15

Step-by-step explanation:

y = -1/3x + 5

x = -1/3y + 5

x - 5 = -1/3y

(x - 5)(-3) = y

-3x + 15 = y

What is (0.83)4 rounded to the nearest hundredth?​

Answers

Answer:

3

Step-by-step explanation:

Find the area and perimeter of a polygon with vertices located at A(-4,-8), B(4, -8), C(4, 0), D(0, 3), and E(-4,0).

Area =

Perimeter =​

Answers

Answer:

76 and 34

Step-by-step explanation:

See attached

As we see this is a polygon with  sides of AB=BC=AE and CD=DE

Sides AB=BC=AE equal to 8Sides CD=DE = [tex]\sqrt{3^2 + 4^2}[/tex] = 5

Area is the sum of areas of a square ABCE with side 8 and a triangle CDE with base of 8 and height of 3:

Area = 8*8 + 1/2*8*3 = 64 + 12 = 76Perimeter = 8*3 + 5*2 = 24 + 10 = 34

Sophie plans to repaint some classroom bookcases. All of the bookcases are the same size and each requires 4 over 5 gallons of paint. If she's going to paint 16 bookcases, how many gallons of paint does she need?

Answers

Answer:

12.8 gallons of paint

Step-by-step explanation:

Multiply 16 by [tex]\frac{4}{5}[/tex]

16(4/5) = 12.8

So, she will need 12.8 gallons of paint

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