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USPshnik [31]
4 years ago
6

Charlotte reads 8 1/3 pages of a book in 10 minutes. What is her average reading rate in pages per minute?

Mathematics
1 answer:
sukhopar [10]4 years ago
8 0
8\frac{1}{3} = \frac{25}{3}

25/3 pages of a book in 10 minutes

Multiply both numbers by the reciprocal of 10, which is 1/10

\frac{25}{3} \times\frac{1}{10} = \frac{25}{30}=\frac{5}{6}

10\times\frac{1}{10}= 1

So, Charlotte reads 5/6 pages of a book in 1 minute.
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a computer store bought a program at a cost of ​$10 and sold it at a selling price of ​$14. Find the percent markup.
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3 years ago
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I need to find the derivative. I’m not very good at this so I am answer asap would be sosososo helpful
Bingel [31]

Answer:

See below.

Step-by-step explanation:

First, notice that this is a composition of functions. For instance, let's let f(x)=\sqrt{x} and g(x)=7x^2+4x+1. Then, the given equation is essentially f(g(x))=\sqrt{7x^2+4x+1}. Thus, we can use the chain rule.

Recall the chain rule: \frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x). So, let's find the derivative of each function:

f(x)=\sqrt{x}=x^\frac{1}{2}

We can use the Power Rule here:

f'(x)=(x^\frac{1}{2})'=\frac{1}{2}(x^{-\frac{1}{2}  })=\frac{1}{2\sqrt{x}}

Now:

g(x)=7x^2+4x+1

Again, use the Power Rule and Sum Rule

g'(x)=(7x^2+4x+1)'=(7x^2)'+(4x)'+(1)'=14x+4

Now, we can put them together:

y'=f'(g(x))\cdot g'(x)=\frac{1}{2\sqrt{g(x)}} \cdot (14x+4)

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PLEASE HELP!!! Given the functions, f(x) = 6x + 2 and g(x) = x - 7, perform the indicated operation. When applicable, state the
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Answer:

The domain restriction for (f/g)(x) is x=7

Step-by-step explanation:

we have

f(x)=6x+2

g(x)=x-7

so

(f/g)(x)=\frac{6x+2}{x-7}

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Find the domain restriction

x-7=0

x=7

therefore

The domain is all real numbers except the number 7

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