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andrey2020 [161]
3 years ago
11

What is the solution of the inequality x^3+3x^2>7x+6

Mathematics
1 answer:
sveta [45]3 years ago
3 0

Answer:

<u><em>x>2</em></u>

Step-by-step explanation:

<u><em>x3+3x2=7x+6</em></u>

<u><em>x3+3x2−(7x+6)=7x+6−(7x+6)</em></u>

<u><em>x3+3x2−7x−6=0</em></u>

<u><em>(x−2)(x2+5x+3)=0</em></u>

<u><em>x−2=0 or x2+5x+3=0</em></u>

<u><em>x=2 or x=−0.6972243622680054 or x=−4.302775637731995</em></u>

<u><em>x<−4.302776</em></u>

<u><em>−4.302776<x<−0.697224</em></u>

<u><em>−0.697224<x<2</em></u>

<u><em>x>2(Works in original inequality)</em></u>

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3<br> Which expression is closest in value to 5.66?
Free_Kalibri [48]

Let's consider the standard and usually used value of irrational numbers given in the question.

  • It is asked to see which is closed to 5.66

So, let's see the options:

A) GiveN:

\dfrac{\pi}{2}  + \pi

Let consider π = 3.14

\dfrac{3.14}{2}  + 3.14

1.57 + 3.14

4.71 \: (approx.)

B) GiveN:

2\pi - 1

Here also, let's consider the value be 3.14

2 \times 3.14 - 1

6.28 - 1

5.28  \: (approx.)

C) GiveN:

4 \sqrt{2}

Let's consider the value of √2 be 1.414

4 \times 1.414

5.6516  \: (approx.)

D) GiveN:

8 -  \sqrt{3}

Let's consider the value of √3 be 1.732

8 - 1.732

6.268 \: (approx.)

So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.

So, Correct answer is C

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

6 0
3 years ago
What plus what equals 68
allochka39001 [22]
67+1=68. 54+14=68 their are more than that just subtract a number from it and use it And you will find the answer
5 0
3 years ago
Read 2 more answers
How can you check that this answer is correct? 5,244 = 6= 874​
nignag [31]

I think you meant 5,244 ÷ 6 = 874.

Answer/Step-by-step explanation:

We can check if this 5,244 ÷ 6 = 874 is correct by doing it opposite.

Since it 5,244 divide 6 we can do 874 x 6.

  \left[8   7   4] \\

×    [6]

======

+ 5244

=======

5244

Hence, this answer is correct.

[RevyBreeze]

3 0
2 years ago
The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10
cestrela7 [59]

Let X be the weekly incomes of a large group of executives. The weekly incomes of a large group of executives follows Normal distribution with mean $2000 and standard deviation $100.

μ =2000, σ =100

We have to find z score for income $2100 i.e x=2100

Z = \frac{x-mean}{standard deviation}

= \frac{2100 - 2000}{100}

Z = 100/100

Z = 1

The z score for income $2100 is 1

6 0
3 years ago
10.
vodomira [7]
<h3>Solution:</h3>
  • Given, side (a) = x+3
  • We know, surface area of a cube = 6a^2
  • Therefore, the surface area of the cube
<h3> </h3><h3>6(x + 3) ^{2}  \\  = 6( {x}^{2}  + 6x + 9) \\  = 6 {x}^{2}  + 36x + 54</h3><h3>Answer:</h3>

The answer is

{6x}^{2}  + 36x + 54

<h3>Hope it helps.</h3>

Sorry for delay

3 0
2 years ago
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