Mathematics High School

Which of the following polynomials has a remainder of 24 when divided by x+2?
A. 4x3+2x2+5
B. 3x3+6x−2
C. −2x3+4x2+3x−2
D. x3−2x2−4x+1

Answers

Answer 1

Option C is the correct choice   [tex]-2x^4+4x^2+3x-2[/tex],

Remainder of a polynomial by substitution

For a polynomial f(x) to give a remainder of 24 when divided by x + 2:

f(-2) = 24

By testing, substitute x = -2 into the equation [tex]-2x^4+4x^2+3x-2[/tex]

[tex]f(x) = -2x^3+4x^2+3x-2\\\\f(-2)=-2(-2)^3+4(-2)^2+3(-2)-2\\\\f(-2)=-2(-8)+4(4)-6-2\\\\f(-2)=16+16-8\\\\f(-2)=32-8\\\\f(-2)=24[/tex]

Since f(-2) = 24 when x = -2 is substituted into  [tex]-2x^4+4x^2+3x-2[/tex], then  [tex]-2x^4+4x^2+3x-2[/tex] has a remainder of 24 when divided by x+2

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Related Questions

six times the quantity two x plus three y

Answers

Answer:

12x + 18y

Lets first write the quantity "two x plus three y", this means, that we have x and y as unknowns. x is 2 times, so we have 2x; and y is 3 times, so he have 3y:

2x + 3y

Additionally we have that this quantity is six times, what means that it is multiplied by a number 6:

6(2x +3y)

If you like, we can apply the distributive property that means that given any three numbers a, b, c we have that a(b+c)=ab + ac. In our case a is 6, b is 2x and c is 3y. Thus, operating:

6(2x +3y) = 6*2x + 6*3y = 12x + 18y

So, "six times the quantity two x plus three y" is 12x + 18y

Step-by-step explanation:

Answer:

6(2x+3y)

Step-by-step explanation:

A cement truck pours cement into a container in the shape of a cylinder with a radius of 4 feet. The height, h, of the cement in the container increases at a rate of approximately 10 inches per minute. Write an equation that models the volume, V, of the cement in the container in terms of h, then use the equation to determine the time at which the volume is 80π cubic feet. Note that the volume of a cylinder is V=πr2h, where r and h are the radius and height of the cylinder.

Answers

Answer:

2009.6  and 13824 minutes and 230.4 hours

Step-by-step explanation:

v=3.14 x 4 x 2 x 80= 2009.6

MATH PLS HELP
(7h+9)+(4h+4)

Answers

Answer:

11h+13

Step-by-step explanation:

7h+4h=11h

9+4=13

Answer:

11h+13

Step-by-step explanation:

Combine like terms.

...what's
[tex] \sqrt{169} [/tex]
​

Answers

Answer:

√169=13

Step-by-step explanation:

can also be understood by 13×13=169

Answer:

13

Step-by-step explanation:

√169 = 13

solve -3 (x + 1) - 2x= -6

A x=1
B x=5
C x = -7
D x = -9

Answers

Answer: C

Step-by-step explanation:

the answer is x= 3/5

Can you just get KA answers from somewhere Help me? pleases

Answers

Answer:

I went through khan academy and the answer is this.... Also what is your microsoft teams Account?

Step-by-step explanation:

In the figure below, o ll g. Find the values of x and z. (42 - 16 • 1 84​

Answers

Answer:

x = 96

z = 28

Step-by-step explanation:

Given:

(4z - 16) , 84, o║g

Proof

X = 180 - 84 (Sum of Opposite angles is 180)

x = 96

Let's take ∠(4z - 16) as  ∠A

∠A = ∠X (Vertically opposite angles)

(4z - 16) = 96

4z = 96 + 16

4z = 112

z = 112/4

z = 28

A rectangle is 2/5 inches long and
1/3 inches wide what is the area of the rectangle​

Answers

Answer:

2/15 inches

Step-by-step explanation:

(2/5)*(1/3)=2/15in

solve -2(3x – 1)-2x = -3 – 5x + 13

Answers

Answer:

×=11

Step-by-step explanation:

-2(3×-1)-2=-3-5×+13

-6×-1-2×=-3-5×+13

-6×+2×+5×=1-3+13

1×=11

×=11

<
10 of 21
Next >
- Lesson 5: Solving Any Linear Equation
Plymel
5.2: Trading Moves
Select another equation. Then take turns with each step
to solve the equation.
5x+7=x+13
O 2(x + 7) = -4x+14

Answers

Answer:

photo math is very helpful for math really try it

The product of two consecutive positive integers is 56. Find the two integers

Answers

Answer:

Two consecutive integers are of the form

x and x + 1

Their product is equal to 56

x(x + 1) = 56

Solve and find the two numbers x and x + 1. The above equation may be written as follows

x2 + x - 56 = 0

Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Step-by-step explanation:

PLEASEE HELP ME I DONT KNOW HOW TO DO THIS !!

Answers

g(h(0)) = 20

h(x) = x+4
h(0) = 0+4
h(0) = 4

g(x) = 5x
g(h(0)) = g(4) = 5(4) = 20

Find the missing point of the following parallelogram.
A (6, 5)
B (5, 3)
C (2, 4)
D (7, 5)

Answers

i’m pretty sure it’s B

I just took the test and the right answer is 6,5

one of mr jones autographed baseballs is worth $55.00. if the value increases by 3% in the next year, what will be the new value of the baseball

Answers

Answer:

56.83?

Step-by-step explanation:

The new value of the baseball is $56.65.

Given that, the cost of baseballs = $55.00 and the value increases by 3% in the next year.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, new value = 55+3% of 55

= 55 + 0.03 × 55

= 55 + 1.65

= $56.65

Therefore, the new value of the baseball is $56.65.

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In the number 8246315 what digit is in the hundreds place?​

Answers

Answer:

the digit 3 is in the hundredths place

Step-by-step explanation:

8,246,315

the 3

Answer:

3

Step-by-step explanation:

I really need help Please ​

Answers

Answer:

The tree was 5 feet when he bought it and it grew one foot every year.

I believe the equation would be h=t+5

Step-by-step explanation:

The answer would be h=t+5 because the height equals the year plus five.

I am not very good at math, and my daughter finished her math assignment and wasn't sure if she did everything correctly. Can someone make sure this is correct?

Answers

Answer:

I think its correct I don't know tho

Step-by-step explanation:

find the domain and range of fx= 2-3sinx​

Answers

Answer:

domain expansion

Step-by-step explanation:

jujutsu kaisen brúh

You need to cross a canal and want to determine the distance across the opposite side. Since you're able to take measurements on your side of the canal, you come up with 40 ft. and 16 ft. Find the distance x across the canal . Show all work

Answers

Answer:

36.7 ft

Step-by-step explanation:

Measurements for the sides of the canal is given as: 40 ft. and 16 ft.

You solve the above question using Pythagoras Theorem

The distance across the canal is calculated as:

√(40² - 16²)

= √(1344)

= 36.66060556 ft

Approximately = 36.7 ft

Therefore, the distance x across the canal = 36.7 ft

What is the answer for g 3= g/3=-9

Answers

Answer:

1 = -9

Step-by-step explanation:

Just substitute 3 for g

then 3/3 = 1

cual es el opuesto de -5

​

Answers

Answer:

I think number 5

Plz help me step by step explanation would help for work plzzzz And Thank you​

Answers

Answer:

Step-by-step explanation:

5z=75

5z/5=75/5

z=15

pls help if you know it


during a high school basketball game the home team scored 51 points and the opponent's score 62 points what is the point differential for (the difference between the number of points scored by a team and its opponent) for the home team?
-11
11
-10
10​

Answers

Answer:

11

Step-by-step explanation:

just do 62-51=11 which gets you the difference between points

help me....................

Answers

Answer:

help me plssssssssssssss...

Answer:

it's 18+21 so 39

Step-by-step explanation:

anymore help ?

A group of friends were working on a student film that had a budget of $1200. They used $756 of their budget on props. What percentage of their total budget did they spend on props? ​

Answers

Answer: 63

Step-by-step explanation:

756/x = 1200/100

Cross multiply

75600 divided by 1200x

= 63

The percentage of budget used by them is 63%, the calculation is done by using the percentage used method.

Percentage-based problem:

What information do we have?

Amount of budget = $1200

Amount of budget used = $756

Percentage of budget used = [Amount of budget used / Amount of budget]100

Percentage of budget used = [756 / 1200]100

Percentage of budget used = 63%

Find out more information about 'Percentage'.

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Simplify the expression 9+(3x+4)

Answers

Answer:

3x+13

Step-by-step explanation:

=9+(3x+4)

=9+3x+4

=3x+13

Show that f(x) f(y) - f(x+y), where f(x)= [cos x - sin x o] [sin x cos x o] [o o 1]

Answers

Answer:

The answer is below

Step-by-step explanation:

Show that f(x) f(y) = f(x+y)

From trigonometric:

sin(x + y) = sinxcosy + cosxsiny

sin(x - y) = sinxcosy - cosxsiny

cos(x + y) = cosxcosy - sinxsiny

cos(x - y) = cosxcosy + sinxsiny

[tex]f(x)=\left[\begin{array}{ccc}cosx&-sinx&0\\sinx&cosx&0\\0&0&1\end{array}\right] ,f(y)=\left[\begin{array}{ccc}cosy&-siny&0\\siny&cosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cosxcosy-sinxsiny&-cosxsiny-sinxcosy&0\\sinxcosy+cosxsiny&-sinxsiny+cosxcosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\[/tex]

[tex]f(x+y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\Therefore\ f(x)f(y)=f(x+y)[/tex]

Solve the system of linear equations

Answers

Answer:

There are infinite answers. it is the same line

Answer:

Infinite solutions

Step-by-step explanation:

Match each justification to its corresponding step in the following solution. (Table shown above)

Identity Property of addition
Addition Property of equality
Given
Identity property of multiplication

A. 1: c (Given)
2: b (addition property of equality)
3: c (Given)
4: a (identity property of addition)
B. 1: a (identity property of addition)
2: b (addition property of equality)
3: d (identity property of multiplication)
4: c (Given)
C. 1: c (given)
2: a (Identity property of addition)
3: b (Addition property of equality)
4: d (Identity property of multiplication)
D. 1: c (Given)
2: b (Addition property of equality)
3: a (Identity property of addition)
4: d (Identity property of multiplication)​

Answers

Answer:

D

Step-by-step explanation:

Plzz answer fast guys​

Answers

Answer:

(A)

Step-by-step explanation:

ZxZ-8=

Z-7

Note* Z-8=Z in the power of - 8 and Z-7=Z in the power of - 7

Answer:

z⁻⁷

Step-by-step explanation:

Use (zᵃ)ᵇ = zᵃᵇ and zᵃ * zᵇ = z⁽ᵃ⁺ᵇ⁾

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