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

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- 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
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Answer:

photo math is very helpful for math really try it

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)

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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?
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Answers

Answer:

11

Step-by-step explanation:

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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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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

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cos(x - y) = cosxcosy + sinxsiny

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Answers

Answer:

Two consecutive integers are of the form

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x(x + 1) = 56

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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.

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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

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Answers

Answer:

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Step-by-step explanation:

7h+4h=11h

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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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:

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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:

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Step-by-step explanation:

Answer:

6(2x+3y)

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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

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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

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

To learn more about the percentage visit:

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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

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75600 divided by 1200x

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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%

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Answers

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×=11

Step-by-step explanation:

-2(3×-1)-2=-3-5×+13

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Step-by-step explanation:

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the 3

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Step-by-step explanation:

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B. 1: a (identity property of addition)
2: b (addition property of equality)
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4: c (Given)
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4: d (Identity property of multiplication)
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D

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

can also be understood by 13×13=169

Answer:

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Step-by-step explanation:

√169 = 13

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

i’m pretty sure it’s B

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Step-by-step explanation:

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