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Anna11 [10]
2 years ago
13

Which of the following polynomials has a remainder of 24 when divided by x+2?

Mathematics
1 answer:
Bad White [126]2 years ago
5 0

Option C is the correct choice   -2x^4+4x^2+3x-2,

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 -2x^4+4x^2+3x-2

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

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

Learn more on remainder of a polynomial here: brainly.com/question/24202892

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Which of the following graphs shows the solution for the inequality<br> y-4&gt; 2(x+2)?
timofeeve [1]

Answer:

Answer:

Graph C shows the solution for the inequality

Step-by-step explanation:

y - 4 > 2(x + 2)

y > 2x + 4 + 4

y > 2x + 8

Let y = 2x + 8, Then

X-intercept (0, 8)

Y-intercept (-4, 0)

Since the inequality sign is > we use broken line.

Put,  (0, 0)

y > 2x + 8

0 > 0+ 8

0 > 8 Which is false

so, the answer will be above the broken line

Hence , Graph C shows inequality

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5 0
2 years ago
What is the missing reason in the proof?
IrinaVladis [17]

We can identify that the missing reason in the proof is: Definition of Congruent angles.

<h3>How to give proof of a congruent triangle?</h3>

We know that an angle measure of 90° of ∠ABC in the triangle means that it is a right angle triangle.

We also see that ∠ADB is also a right angle and is equal to 90°.

Now, since they have exactly the same measure, these angles are congruent. Then we can say that the angles are congruent and as such:

∠ABC ≅ ∠ABD

Thus, we can identify that the missing reason is: Definition of Congruent angles.

Read more about Triangle proof at; brainly.com/question/1248322

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3 0
2 years ago
Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around
Alex777 [14]
One complete revolution of the minute hand sweeps a central angle of 360° which is equivalent to 60 minutes.
That is, the minute hand creates
(360°/(60 min) = 6 degrees/min.

From 3:35 to 3:55 is 20 minutes.
It sweeps a central angle of
 (20 min)*(6 deg/min) = 120°

Because 360° = 2π radians,
120° = (120/360)*2π = (2π)/3 radians

Answer:
 \frac{2 \pi }{3} \,radians
In decimals, this is 2.1 radians (nearest tenth)

Part 2:
Because the minute hand is 4 inches long, the length of the arc swept is
(4 in)*(2π/3 radians) = 8π/3 inches

Answer:
 \frac{8 \pi }{3} \,inches
In decimals, this is 8.4 inches (nearest tenth).

  
7 0
3 years ago
By convention, the independent variable is arrayed along the ____ in a scattergram. regression line calibration line vertical ax
babunello [35]

Answer:

Horizontal axis

Step-by-step explanation:

By convention, the independent variables is arrayed along the Horizontal axis (abscissa) in a scattergram.

The stcattergram has two dimensions

  • The X (independent) variable is arrayed along the horizontal axis.
  • The Y(dependent) variable is arrayed along the vertical axis.
  • Each dot scattergram is case in data set.
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7 0
3 years ago
Y\7+6= what does y =
choli [55]
Simple, y can be anything. Because you have no other variable on the other side to use; y can be whatever you want to plug-in to the equation. 
5 0
3 years ago
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