Ask question

Ask question

All categories

3 years ago

6

What are the roots of the polynomial equation x cubed minus 10 x = negative 3 x squared + 24? Use a graphing calculator and a sy

stem of equations.

2 answers:

azamat3 years ago

5 0

Answer:

option 3

-4, -2, 3

Step-by-step explanation:

IRINA_888 [86]3 years ago

5 0

Answer:

Option C -4,-2,3

Step-by-step explanation:

You might be interested in

4. There are 37 students in the class.

ozzi

Answer:

B)1600

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Oh my goodness please help its confusing.

Irina18 [472]

Probably the easiest way to do these is to convert them to slope intercept form by solving for y. When we have y=mx+b, we read off the slope m.

-5x + 2y = 10

Add 5x to both sides,

2y = 5x + 10

Divide both sides by 2,

y = (5/2) x + (10/2)

Obviously 10/2=5 but we don't care about that for this problem. We read off the slope as

Answer: 5/2, last choice

12 = 4x - 6y

Adding 6y and subtracting 12,

6y = 4x - 12

Dividing by 6,

y = (4/6) x - (12/6)

y = (2/3) x - 2

Answer: 2/3

3 0

3 years ago

Suppose that, for a particular social networking company, the annual revenue from rich media advertisements, in millions of doll

Juli2301 [7.4K]

Answer:

a. Revenue of the company at the beginning of 2010 is 75 million dollar (loss)

b. Rate at which the revenue changing in the year 2010 is 76 million dollar per year ( decreasing)

Step-by-step explanation:

For part a,

Given that x is the number of years at the beginning of 2007.

Therefore, $x=0$ for year 2007.

Hence at the year 2010 value of x will be $x=3$ .

Substitute the value of x=3 in R(x),

$R\left(x\right)=-x^{4}+8x^{3}-38x^{2}+44x$

$R\left(x\right)=-\left(81\right)+8\left(27\right)-38\left(9\right)+132$

$R\left(x\right)=-81+216-342+132$

$R\left(x\right)=-75$

Negative sign indicates that there is loss of revenue at the start of the year 2010

Therefore, there is loss of revenue at the beginning of 2010 which is 75 million dollar.

For part b,

To calculate rate, differentiate the given function with respect to x.

$\dfrac{d}{dx}R\left(x\right)=\dfrac{d}{dx}\left (-\left(x\right)^{4}+8\left(x\right)^{3}-38\left(x\right)^{2}+44\left(x\right)\right)$

Applying sum and difference rule of derivative,

$\dfrac{d}{dx}R\left(x\right)=-\dfrac{d}{dx}\left(x^4\right)+\dfrac{d}{dx}\left(8x^3\right)-\dfrac{d}{dx}\left(38x^2\right)+\dfrac{d}{dx}\left(44x\right)$

Applying constant multiple rule of derivative,

$\dfrac{d}{dx}R\left(x\right)=-\dfrac{d}{dx}\left(x^4\right)+8\dfrac{d}{dx}\left(x^3\right)-38\dfrac{d}{dx}\left(x^2\right)+44\dfrac{d}{dx}\left(x\right)$

Applying power rule of derivative,

$\dfrac{d}{dx}R\left(x\right)=-\left(4x^{4-1}\right)+8\left(3x^{3-1}\right)-38\left(2x^{2-1}\right)+44\left(1x^{1-1}\right)$

$\dfrac{d}{dx}R\left(x\right)=-4\left(x^{3}\right)+8\left(3x^{2}\right)-38\left(2x^{1}\right)+44$

$\dfrac{d}{dx}R\left(x\right)=-4x^3+24x^2-76x+44$

Substituting the value x=3,

$\dfrac{d}{dx}R\left(x\right)=-4\left(3\right)^3+24\left(3\right)^2-76\left(3\right)+44$

$\dfrac{d}{dx}R\left(x\right)=-4\left(27\right)+24\left(9\right)-76\left(3\right)+44$

$\dfrac{d}{dx}R\left(x\right)=-108+216-228+44$

$\dfrac{d}{dx}R\left(x\right)=-76$

Negative sign indicates that rate is decreasing.

Rate at which the revenue is changing in the year 2010 is 76 million dollar per year.

8 0

3 years ago

PLZ HELP NO LINK THIS IS EXTRA CREDIT BC IM FAILING OR I WILL HAVE NO SUMMER!!!!!

Bumek [7]

1- a
2-b
3-a
4-a
5-b
6-b
7-b
8-a

3 0

3 years ago

Read 2 more answers

8 meters decreased by 25 percent

brilliants [131]

25 x 8 = 200 ÷100 = 2

7 0

3 years ago

Read 2 more answers