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Verizon [17]
3 years ago
5

Consider the following expression: (1 + x)^n. A) Use the Binomial Theorem to find the first four terms of this polynomial. B) Wh

y is 1 + nx a good approximation of this expression when x is less than 1?
Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0
Given:

The expression:  (1 + x)^n

The Binomial Theorem is used to predict the products of a binomial raised to a certain power, n, without multiplying the terms one by one. 

The following formula is used:

(a + b)^n = nCk * a^(n-k) * b^k

we have (1 +x)^n,

where a = 1 
            b = x
let n = 4

First term, k = 1

4C1 = 4

first term: 4*(1^(4-1))*x^1

Therefore, the first term is 4x. Do the same for the next three terms. 

2nd term: k =2 
3rd term: k = 3
4th term: k = 4
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Express as a trinomial: (2x-3)(x 5)
Illusion [34]
I am assuming the expression is (2x-3)(x+5) or (2x-3)(x-5). I will teach you how to solve for both as I am not sure which one you are asking for. There are 4 steps to multiplying.

1) Multiply the x times the second x
2) Multiply x times the second number
3) Multiply the number by the second x
4) Multiply the number by the second number.

(2x*x)+(2x*5)+(-3*x)+(-3*5)=(2x^{2})+(10x)+(-3x)+(-15)=2x^{2}+7x-15

(2x*x)+(2x*-5)+(-3*x)+(-3*-5)=(2x^{2})+(-10x)+(-3x)+(15)=2x^{2}-13x+15

Your answer is 2x^{2}+7x-15 or 2x^{2}-13x+15. Does that answer your question?
6 0
3 years ago
Factor the expression using the GFC 8 - 22a
Assoli18 [71]

8-22a

2(4-11a)

Take the largest number you can factor out of 8&22

3 0
3 years ago
Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2
defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations 3x+2y=27  and 2x+y=16 is (5,6)

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

3x+2y=27 -----> equation A

2x+y=(27-11)

2x+y=16 ----> equation B

Solve the system of equations

Multiply the equation B by -2

-2(2x+y)=-2*16 ----->-4x-2y=-32 ------> equation C

Adds equation A and equation C

3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5

Substitute the value of x in the equation B

2(5)+y=16

10+y=16

y=6

The solution of the system of equations is the point (5,6)

so

The price of each burger is \$5

The price of each sandwich is \$6

6 0
3 years ago
Read 2 more answers
Sixty-two more than nine times a number 116
alina1380 [7]

Answer:

62>(9*116)

Step-by-step explanation:

7 0
3 years ago
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koban [17]

I had that question yesterday

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