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yanalaym [24]
3 years ago
11

What is the solution to x^3 +4x^2 > x + 4

Mathematics
2 answers:
Thepotemich [5.8K]3 years ago
8 0

Answer:

B) −4<x<−1  or  x>1

Inequality Form: −4<x<−1  or  x>1

Interval Notation: (−4,−1)  ∪  (1,∞)

Step-by-step explanation:

Solve: x^3 + 4x^2 > x + 4

Subtract x from both sides of the inequality.

x^3 + 4x^2 − x > 4

Convert the inequality to an equation.

x^3 + 4x^2 − x = 4

Move 4 to the left side of the equation by subtracting it from both sides.

x^3 + 4x^

2 − x − 4 = 0

Factor the left side of the equation

(x + 4)(x + 1)(x − 1) = 0

If any individual factor on the left side of the equation is equal to , the entire expression will be equal to 0

x + 4 = 0

x + 1 = 0

x − 1 = 0

Set x + 4 equal to 0 and solve for x

x = −4

Set x + 1 equal to 0 and solve for x

x = −1

Set x + -1 equal to 0 and solve for x

x = 1

The final solution is all the values that make (x + 4)(x + 1)(x − 1) = 0  true

x = −4, −1, 1

Use each root to create test intervals.

x < −4

−4 < x < −1

−1 < x < 1

x > 1

Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the

inequality.

x < −4  ←False

−4 < x < −1  ←True

−1 < x < 1  ←False

x > 1  ←True

The solution consists of all of the true intervals.

−4 < x < −1 x > 1

xz_007 [3.2K]3 years ago
5 0

Answer:

It is C

Step-by-step explanation:

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I will mark brainliest
matrenka [14]
A: 2,5
B: 3,1
C: -2,4



Explanation:


When you’re moving right and up you would add however many numbers you moved up to the original points because going right on a graph makes the X a larger number, and going up makes it larger.
5 0
3 years ago
B) 2x² - 4x + 3 = 0<br> a) x² + 3x – 10 = 0
kozerog [31]

Answer:

a. x = 2 , x = -5

b. no real roots

Step-by-step explanation:

<u>a. x² + 3x – 10</u>

= x² - 2x + 5x - 10

= x (x²/x - 2x/x) + 5 (5x/5 - 2*5/5)

= (x - 2) (x + 5)

x - 2 = 0                            x + 5 = 0

 + 2    +2                             -5     -5

--------------                         ---------------

x = 2                                   x = -5

x = 2 , x = -5

<u>b. 2x² - 4x + 3 </u>

This can't be solved because the equation has no real roots, and also the discriminant is negative.

3 0
2 years ago
What is the simplified form of x+3/4+x+2/4
Savatey [412]
Hey there! :D

Since all the terms are being added together, and there is a common denominator with the fractions, we can just add them.

x+x= 2x  3/4+2/4= 5/4

2x+5/4

2x+1.25<== simplest form

I hope this helps!
~kaikers
7 0
3 years ago
Read 2 more answers
∠A∠A and ​ ∠B∠B ​ are vertical angles with m∠A=xm∠A=x and m∠B=5x−80m∠B=5x−80 . What is m∠Am∠A ?
iris [78.8K]

The Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent .Given <A and <B are vertical angles so they are equal.

<A=<B.

Measure of <A=x and <B=5x-80

Or  5x-80=x

Adding 80 both sides

5x-80+80=x+80

5x=x+80

Subtracting x both sides

5x-x=x-x+80

4x=80

Dividing both sides by 4

x=20

Measure of <A= x= 20 degrees.

8 0
2 years ago
Read 2 more answers
From 42 acres to 72 acres (round to the nearest percent
guajiro [1.7K]

Answer:

42 acres to 72 acres, there is an increase of 30 acres

percentage wise

72-42=30

30/72=.4166...

therefore there is also a 41.6% increase

Step-by-step explanation:

71.42 Percentage change:×100%

Now, the change is given from 42 acres to 72 acres, therefore

Change= 72-42=30

⇒Percentage change= ×100%

                                   = 71.42

8 0
3 years ago
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