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2 years ago

I feel so not smart please help me

Mathematics

1 answer:

vladimir2022 [97]2 years ago

8 0

I am not sure but it looks hard lol

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Solve the inequality showing all steps needed to justify your answer. State your solution in interval notation

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Which two measures did the United States take to counter terrorism after the September 11 attacks?

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3 years ago

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shepuryov [24]

( im not really sure) i think it would be a, sorry if im wrong!

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3 years ago

Two lines, C and D, are represented by the equations given below:

lys-0071 [83]

Bought lines need to pass same point, so:

x+12 = y = y = 3x+2
x+12=3x+2 |-2
x+10=3x |-x
10=2x |/2
5=x
x+12 = y => 5+12 = y =>y = 17

(x,y) => (5,17)

6 0

3 years ago

Determine the coefficient of x^3 in the expansion of (1 – x)^5(1 + 1/x)^5

Mkey [24]

Notice that

(1 - x)⁵ (1 + 1/x)⁵ = ((1 - x) (1 + 1/x))⁵ = (1 - x + 1/x - 1)⁵ = (1/x - x)⁵

Recall the binomial theorem:

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

Let a = 1/x, b = -x, and n = 5. Then

$\displaystyle\left(\frac1x-x\right)^5 = \sum_{k=0}^5\binom5k\left(\frac1x\right)^{5-k}(-x)^k = \sum_{k=0}^5 (-1)^k\binom5k x^{2k-5}$

We get an x ³ term for

2k - 5 = 3 ==> 2k = 8 ==> k = 4

so that the coefficient would be

$(-1)^4\dbinom54 = \boxed{5}$

4 0

2 years ago

What is the solution to the equation 1.25 + r = 4? r = 2.75 r = 3.75 r = 5.25 r = 5.75

eimsori [14]

Answer:

r = 2.75

Step-by-step explanation:

1.25 + r = 4

Subtract 1.25 on both sides.

1.25 + r - 1.25 = 4 - 1.25

r = 4 - 1.25

r = 2.75

The solution to the equation is r = 2.75.

4 0

3 years ago

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