All categories

2 years ago

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

Mathematics

1 answer:

sveta [45]2 years ago

3 0

Answer:

x>2

Step-by-step explanation:

x3+3x2=7x+6

x3+3x2−(7x+6)=7x+6−(7x+6)

x3+3x2−7x−6=0

(x−2)(x2+5x+3)=0

x−2=0 or x2+5x+3=0

x=2 or x=−0.6972243622680054 or x=−4.302775637731995

x<−4.302776

−4.302776<x<−0.697224

−0.697224<x<2

x>2(Works in original inequality)

You might be interested in

Find the minimum and maximum values of the objective function z=3x+5y

Margarita [4]

3.15 addd all of them! Then divide

6 0

2 years ago

Read 2 more answers

(4x + 3)(4x - 3) Help pls

tekilochka [14]

Answer:

$16x^2-9$

Step-by-step explanation:

$\left(4x+3\right)\left(4x-3\right)$

We´ll Apply Difference Two Squares Formula:

$\left(a+b\right)\left(a-b\right)=a^2-b^2$

$\longmapsto$ $\left(4x+3\right)\left(4x-3\right)$

$\longmapsto$ $\left(4x\right)^2-3^2$

Apply exponent rule:

$\left(a\times \:b\right)^n=a^nb^n$

$\longmapsto$ $4^2x^2-3^2$

$\longmapsto$ $16x^2-9$

_________________________

6 0

2 years ago

Read 2 more answers

The equation r=u/st is equivalent to u = rst. True False

Mkey [24]

False, it would end up being st / r

4 0

2 years ago

Read 2 more answers

Draw the shape described below and find its total surface area.

iogann1982 [59]

Answer:

hope this helps :)

Step-by-step explanation:

8:07

Cylinder volume & surface area (video)

3 0

3 years ago

2+3×2 = Α what is ath ansewer

lawyer [7]

Answer:

Step-by-step explanation:

2+(3×2)=2+6=8

3 0

2 years ago

Read 2 more answers