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3 years ago

Theresa pays 9.56 for 4 pounds of tomatoes What is the cost 1 pound of tomatoes

Mathematics

1 answer:

o-na [289]3 years ago

8 0

The cost of one is 2.39

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

8 0

3 years ago

A store sells notebook for 3$ each and does not charge sales tax. If x represents the number of notebooks Adele buys and y repre

Crazy boy [7]

You need to multiply 3x to find y.

4 0

2 years ago

Which is an example of an incremental approach to solving a problem? writing the program code of the solution informally represe

Setler [38]

Answer:

writing the steps of a solution in small pieces of code

Step-by-step explanation:

edg 2020

4 0

2 years ago

Solve using ELIMINATION (with step by step explanation) Please<br><br> 3x+y=-9<br> y=5x+7

Yuki888 [10]

Answer:

<h2>x = -2 (verified by algebra) ✅</h2>

Step-by-step explanation:

Since we are given the value of y, we can replace it with 5x + 7.

We now have: 3x + 5x + 7 = -9

We can now simplify by adding 3x and 5x to get 8x.

8x + 7 = -9

We can subtract 7

8x = -16

And now, we divide by 8

x = -2

We can check to make sure we are correct

3(-2) + 5 (-2) + 7 = -9

-6 + -10 + 7 = -9

-9 = -9 ✅

7 0

2 years ago

last year the depth of the river was 4.2 feet deep. this year it dropped 24% find the depth of the river this year

zzz [600]

Answer:

3.2

Step-by-step explanation:

7 0

2 years ago