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2 years ago

Solve the system by elimination 2x-3y=23 x+3y=-20

Mathematics

1 answer:

Fantom [35]2 years ago

4 0

Answer:

x = 1

y = -7

Step-by-step explanation:

2x-3y=23

+ x+3y =-20

3x + 0 = 3

x = 1

(1) + 3y = -20

-1 -1

3y = -21

y = -7

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Contact [7]

Answer:

Step-by-step explanation:

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2*2*2

(Decimal: 0.5)

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2 years ago

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

Leni [432]

Answer: $\dfrac{2x^2-1}{x(x^2-1)}$

Step-by-step explanation:

The given function : $y=\ln(x(x^2 - 1)^{\frac{1}{2}})$

$\Rightarrow\ y=\ln x+\ln (x^2-1)^{\frac{1}{2}}$ [ $\because \ln(ab)=\ln a +\ln b$ ]

$\Rightarrow y=\ln x+\dfrac{1}{2}\ln (x^2-1)}$ [ $\because \ln(a)^n=n\ln a$ ]

Now , Differentiate both sides with respect to x , we will get

$\dfrac{dy}{dx}=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})\dfrac{d}{dx}(x^2-1)$ (By Chain rule)

[Note : $\dfrac{d}{dx}(\ln x)=\dfrac{1}{x}$ ]

$\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x-0)$

[ $\because \dfrac{d}{dx}(x^n)=nx^{n-1}$ ]

$=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x) = \dfrac{1}{x}+\dfrac{x}{x^2-1}\\\\\\=\dfrac{(x^2-1)+(x^2)}{x(x^2-1)}\\\\\\=\dfrac{2x^2-1}{x(x^2-1)}$

Hence, the derivative of the given function is $\dfrac{2x^2-1}{x(x^2-1)}$ .

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3 years ago

Expanding polynomial functions using binomial theorem or pascals triangle

konstantin123 [22]

Answer:

The formula for Pascal's Triangle comes from a relationship that you yourself might be able to see in the coefficients below.

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HOPE THIS HELPS!

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3 years ago

Whats the value of x<br> 120°<br> (2x – 10)°

Bess [88]

The answer is 2x-1
Step-by-step explanation:
2x-10^0
Any non zero expression raised to the power of 0 equals 1.
2x-1
So that would be your answer.
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2 years ago

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inn [45]

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Answer:

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Step-by-step explanation:

The ratio of Ellen's share (e) to Tom's share is ...

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Ellen's share of the profits is $738.

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3 years ago