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Vika [28.1K]
3 years ago
8

giles is searching for a sock and discovers that he has 10 socks for every 5 pairs of shoes. if he has 20 socks how many pair of

shoes does he have
Mathematics
1 answer:
nekit [7.7K]3 years ago
8 0
It will be 10 pair of shoe
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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
2 years ago
How do you use the triangle sum theorem to find the measure of each angle in degrees ?!
TEA [102]

Answer:

The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem. It says that all the angles <em>inside</em> a triangle add up to 180°.

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

Take a look at the picture attached. It has a "formula": ∠a+∠b+∠c=180°

Use this as it will help you a lot. You plug in the info you already know (it doesn't matter which angle is a,b,c) and solve for the missing one. :)

Ask in the comments below if you are not sure about something.

I hope that helps you! :D


6 0
3 years ago
What is something you have a 66% chance at
Lelu [443]
Getting in a relationship and lasting a decade .
5 0
3 years ago
Write an explicit equation for the following sequence.<br><br> 100, 97, 94, 91, ...
pishuonlain [190]

Answer:

a_{n} = 103 - 3n

Step-by-step explanation:

there is a common difference between consecutive terms , that is

97 - 100 = 94 - 97 = 91 - 94 = - 3

This indicates the sequence is arithmetic with explicit equation

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 100 and d = - 3 , then

a_{n} = 100 - 3(n - 1) = 100 - 3n + 3 = 103 - 3n

6 0
2 years ago
Please Help FAST
Aneli [31]

Answer:

Step-by-step explanation:

1) 2x -y = 1 -------1

3x - y = -6 ------2

Subtract eqn 2 from eqn 1

-x = 1--6 = 7

x = -7

Put x= -7 in eqn 1

2*-7-y = 1

-14-y = 1

- y = 15

y = -15

2) 4x +2y = 10------1

y = 4x + 2--------2

Put eqn 2 in eqn 1

4x + 2 ( 4x+ 2) = 10

4x + 8x + 4 = 10

12x = 6

x = 6/12 = 1/2

Put x = 1/2 in eqn 2

y = 4* 1/2 + 2= 2 + 2

= 4

3) 6x - y = 2------1

y = 3x + 4---------2

Put eqn 2 in eqn 1

6x - (3x +4) = 2

6x - 3x - 4 = 2

3x = 6

x = 2

y = 3*2 + 4 = 6 + 4

= 10

6 0
3 years ago
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