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Gnesinka [82]
3 years ago
7

Each peanut butter snack costs $2 each chocolate snack costs $3 how much does it cost to buy 6 peanut butter snacks and 8 chocol

ate snacks write an equation
Mathematics
1 answer:
Tatiana [17]3 years ago
7 0
PB=$2
CS=$3
2x6=12
3x8=24
12+24=36
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Is the table shown proportional?Explain
ioda

Answer:

the first one is proportional because you could multiply by 4

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3 years ago
For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th
alexira [117]

Answer:

The inner function is h(x)=4x^2 + 8 and the outer function is g(x)=3x^5.

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

Step-by-step explanation:

A composite function can be written as g(h(x)), where h and g are basic functions.

For the function f(x)=3(4x^2+8)^5.

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have 4x^2+8 inside parentheses. So h(x)=4x^2 + 8 is the inner function and the outer function is g(x)=3x^5.

The chain rule says:

\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)

It tells us how to differentiate composite functions.

The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

     outside function: g(x)=3x^5

     inside function: h(x)=4x^2 + 8

The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

3 0
4 years ago
9/10 + 3/100 plz hlp in dire need of answer
Elza [17]

Answer:

I think it's 93/100

8 0
3 years ago
The manager of a grocery store selected a random sample of 100 customers to estimate the average checkout time. The 90% confiden
lina2011 [118]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
What’s the derivative of the function: A) f(x)= 1/x , in point 2. B) f(x)= 5x^2 , in point 3
bija089 [108]

Using the power rule, the derivatives are given as follows:

a) f^{\prime}(2) = -\frac{1}{4}.

b) f^{\prime}(3) = 30.

<h3>What is the power rule for a derivative?</h3>

Suppose we have a power function given by:

f(x) = x^n

The derivative of the function is given by:

f^{\prime}(x) = n \times x^{n-1}

Item a:

The function is:

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

Then the derivative is:

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

When x = 2, the derivative is:

f^{\prime}(2) = -\frac{1}{4}

Item b:

The function is:

f(x) = 5x^2

Then the derivative is:

f^{\prime}(x) = 10x

When x = 3, the derivative is:

f^{\prime}(3) = 30

More can be learned about derivatives at brainly.com/question/2256078

#SPJ1

5 0
2 years ago
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