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2 years ago

Help please, there is a big prize up for grabs

Mathematics

1 answer:

zmey [24]2 years ago

8 0

1: a) -51

b) -461

2: a) 18078.415936

b) 61715.95

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Vicki ordered an enchilada ($2.75), refried beans ($1.75), rice ($.95), and sparkling water ($1.35). Estimate the cost of her me

PSYCHO15rus [73]

Well the first step is to add all the prices up which adds up to $6.80 and multiply it by 1.15. Since the 1 is for the original price which is 6.8 and the .15 is for the tip. You’re welcome and have a nice day

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2 years ago

Using f(x) = 2x + 7 and g(x) = x - 3, find f(g(x)).

Eva8 [605]

Answer:

2x+1

Step-by-step explanation:

that's a hard question

we know that g(x)= x-3

so f(g(x))= f(x-3)

we put it in the equation :

f(x-3)= 2(x-3) +7 = 2x-6+7 = 2x +1

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2 years ago

Find the length of side xx to the nearest tenth. 30° 60° x 9

otez555 [7]

Answer:

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2 years ago

I need help....................

inysia [295]

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2 years ago

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