Please help, answers needed for homework.

Select the correct answer

Paladinen [302]

Answer:

a) We get $\mathbf{A+B=x^2-2x+1}$

So, Is the result of A+B is a polynomial:Yes

b) We get $\mathbf{A-B=6x^3-7x^2+2x-1}$

So, Is the result of A-B is a polynomial:Yes

c) We get $\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}$

So, Is the result of A.B is a polynomial:Yes

Step-by-step explanation:

We are giving the polynomial equations:

$A= 3x^2(x-1)\\B=-3x^3+4x^2-2x+1$

We need to find

a) A+B

$A+B=3x^2(x-1)+(-3x^3+4x^2-2x+1)\\A+B=3x^3-3x^2-3x^3+4x^2-2x+1\\A+B=3x^3-3x^3-3x^2+4x^2-2x+1\\A+B=x^2-2x+1\\$

So, we get $\mathbf{A+B=x^2-2x+1}$

So, Is the result of A+B is a polynomial:Yes

b) A-B

$A-B=3x^2(x-1)-(-3x^3+4x^2-2x+1)\\A-B=3x^3-3x^2+3x^3-4x^2+2x-1\\A-B=3x^3+3x^3-3x^2-4x^2+2x-1\\A-B=6x^3-7x^2+2x-1\\$

So, we get $\mathbf{A-B=6x^3-7x^2+2x-1}$

So, Is the result of A-B is a polynomial:Yes

c) A . B

$A.B=3x^3(-3x^3+4x^2-2x+1)-3x^2(-3x^3+4x^2-2x+1)\\A.B=9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2\\A.B=9x^6+12x^5+9x^5-6x^4-12x^4+3x^3+6x^3-3x^2\\A.B=9x^6+21x^5-18x^4+9x^3-3x^2$

So, we get $\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}$

So, Is the result of A.B is a polynomial:Yes

7 0

3 years ago

What is the approximate volume of a cone with a height of 8 cm and a radius of 12 cm? Use 3.14 for pie.

lawyer [7]

Answer:

A

Step-by-step explanation:

The volume of the cone is found using the volume formula for a cone $V=\frac{1}{3}\pi r^2h$ .

Substitute h=8 and r = 12.

$V = \frac{1}{3}\pi r^2h\\V = \frac{1}{3}\pi (12^2)(8)\\V=\frac{1}{3}\pi *144*8\\V = \frac{1152}{3}\pi \\V= 384\pi \\V=1,205.76$

So the volume is approximately 1,206 cubic cm.

3 0

3 years ago

X – 6y - 9 = 0 x = 8y + 6 What is a resulting equation?

serious [3.7K]

Answer:

-2y + 3 = 0

Step-by-step explanation:

x - 6y - 9 = 0

-6y - 9 = -x subtract x from both sides

6y + 9 = x divide both sides by -1

x = 8y + 6

6y + 9 = 8y + 6 replace x with 6y + 9

-2y + 9 = 6 subtract 8y from both sides

-2y + 3 = 0 subtract 6 from both sides

3 0

3 years ago

Jim washes 2/3 of his car with 1/2 a bottle of soap. What fraction of the soap will he use to clean his entire car?

Sunny_sXe [5.5K]

Answer:

if he uses 1/2 for 2/3, then you can divide 2/3 and 1.2 by 2 to get the remaining soap needed to complete the wash

so to clean the last 1/3 of the car, he`ll use 1/4 of the remaining soap

the entire car needs <u><em>3/4 of a bottle of soap</em></u>

3 0

3 years ago

A boat heads north at 30 mph while a steamer heads east at 40 mph at the same time. When is the distance between them 50 mi?

Vera_Pavlovna [14]

let t = time (hrs) that they are 50 mi apart

Use pythag here; a^2 + b^2 = c^2; dist = speed * time

(30t)^2 (40t)^2 = 50^2

900t^2 + 1600t^2 = 2500

It's obvious that t = 1 hr

7 0

3 years ago