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I am Lyosha [343]
3 years ago
6

WILL MARK BRAINLIEST!!! 40 POINTS!! ACTUAL ANSWERS, PLZZZ

Mathematics
1 answer:
steposvetlana [31]3 years ago
8 0

Answer:

Part A:

\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807

Part B:

The closure property describes cases when mathematical operations are CLOSED. It means that if you apply certain mathematical operations in a polynomial it will still be a polynomial. Polynomials are closed for sum, subtraction, and multiplication.

It means:

\text{Sum of polynomials } \Rightarrow \text{ It will always be a polynomial}  

\text{Subtraction of polynomials } \Rightarrow \text{ It will always be a polynomial}  

\text{Multiplication of polynomials } \Rightarrow \text{ It will always be a polynomial}  

But when it is about division:

\text{Division of polynomials } \Rightarrow \text{ It will not always/sometimes be a polynomial}  

<u>Example of subtraction of polynomials:</u>

<u />(2x^2+2x+3) - (x^2+5x+2)<u />

<u />x^2-3x+1<u />

Step-by-step explanation:

<u>First, it is very important to define what is a polynomial in standard form: </u>

It is when the terms are ordered from the highest degree to the lowest degree.

Therefore I can give:

x^5-5x^4+3x^3-3x^2+7x+20

but,

x^5+3x^3-3x^2+7x+20-5x^4 is not in standard form.

For this question, I can simply give the answer: x^5-5x^4+3x^3-3x^2+7x+20 and it is correct.

But I will create a fifth-degree polynomial using this formula

$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$

Also, note that

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

For a=x \text{ and } b=7

$\left(x + 7\right)^{5}=\sum_{k=0}^{5} \binom{5}{k} \left(x\right)^{5-k} \left(7\right)^k$

\text{Solving for } k \text{ values: } 0, 1, 2, 3, 4 \text{ and } 5

Sorry but I will not type every step for each value of k

The first one is enough.

For k=0

$\binom{5}{0} \left(x\right)^{5-0} \left(7\right)^{0}=\frac{5!}{(5-0)! 0!}\left(x\right)^{5} \left(7\right)^{0}=\frac{5!}{5!} \cdot x^5= x^{5}$

Doing that for k values:

\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807

You might be interested in
Why is 1/3 greater than 1/6
Korvikt [17]
Because 1/3 is equal to 2/6 which is greater than 1/6
3 0
3 years ago
Read 2 more answers
Glven: 2x+3y= 6.
ruslelena [56]

Answer:

The answer is B 0,2

Step-by-step explanation:

I hope that correct

7 0
3 years ago
If h (x) = -5x-7 then what is h (x-1) ?
goldenfox [79]

Answer:

h(x - 1) = -5x - 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

Terms/Coefficients

Functions

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

h(x) = -5x - 7

<u>Step 2: Find</u>

  1. Substitute in <em>x </em>[Function h(x)]:                                                                          h(x - 1) = -5(x - 1) - 7
  2. [Distributive Property] Distribute -5:                                                                h(x - 1) = -5x + 5 - 7
  3. Combine like terms:                                                                                         h(x - 1) = -5x - 2
6 0
3 years ago
Mr. Miller owns two hotels and is ordering towels for the rooms. He ordered 27 hand towels and 48 bath towels for a bill of $540
Temka [501]

This question is based on the concept of solving a two linear equation.

Thus, the cost of one bath towel is $9 and one hand towel is $4.

Given:

Number of  ordered of hand towels is 27 and bath towels is 48 and for a bill of $540 for the first hotel.

Number of  ordered of hand towels is 50 and bath towels is 24 and for a bill of $416 for the other hotel.

We need tom determined the cost of one hand towel and one bath towel.

According to the question:

Let the  hand towels be h  and bath towels be b.

Therefore, equation of first hotel is

27h + 48b = 540........(1)

Equation of second hotel is

50h + 24b = 416.........(2)

Now, solving both equation for h and b.

Equation (2) multiplying by -2.

-100 h -48 b = - 832..................(3)

Now, solve equation (1) and (3)

27h + 48b = 540  and -100h - 48b = - 832

⇒ -73 h = - 292

⇒ h = -292 / -73

⇒ h = 4

Therefore, the cost of 1 hand towel is $4.

Now, putting the value of h = 4 in equation (1).

⇒ 27(4) + 48b = 540

⇒ 108 + 48b = 540

⇒ 48b = 540 - 108

⇒ 48b = 432

⇒ b = 432/48

⇒ b = 9

Therefore, the cost of 1 bath towel is $9.

Thus, the cost of one bath towel is $9 and one hand towel is $4.

For more details, prefer this link:

brainly.com/question/11897796

4 0
2 years ago
PLEASE HELP ASAP!! I WILL GIVE U BRAINLIEST, PLZ SOLVE A person places a mirror between herself and a building. The mirror is 17
Semenov [28]

Answer:

11.6

Step-by-step explanation:

There are 2 traingles one from the person to bottom of mirror and one from the bottom of the mirror to the top of the building

these are conjugate triangles so if the 3m represents 17.5

what does the 2 m represent?

2*17.5/3=35/3=11 2/3 so 11.6

6 0
3 years ago
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