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Y_Kistochka [10]

3 years ago

14

At a restaurant, the bill comes to $36. If you decide to leave a 10% tip, how much total do you need to pay? Give your answer to

the nearest dollar.

1 answer:

Ivanshal [37]3 years ago

3 0

I know the answer when you find your answer contact me and we will compare answers.

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Find the 2nd Derivative:<br> f(x) = 3x⁴ + 2x² - 8x + 4

ad-work [718]

Answer:

$f''(x)=36x^2+4$

Step-by-step explanation:

Let's start by finding the first derivative of $f(x)= 3x^4+2x^2-8x+4$ . We can do so by using the power rule for derivatives.

The power rule states that:

$\frac{d}{dx} (x^n) = n \times x^n^-^1$

This means that if you are taking the derivative of a function with powers, you can bring the power down and multiply it with the coefficient, then reduce the power by 1.

Another rule that we need to note is that the derivative of a constant is 0.

Let's apply the power rule to the function f(x).

$\frac{d}{dx} (3x^4+2x^2-8x+4)$

Bring the exponent down and multiply it with the coefficient. Then, reduce the power by 1.

$\frac{d}{dx} (3x^4+2x^2-8x+4) = ((4)3x^4^-^1+(2)2x^2^-^1-(1)8x^1^-^1+(0)4)$

Simplify the equation.

$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x^1-8x^0+0)$
$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8(1)+0)$

$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8)$
$f'(x)=12x^3+4x-8$

Now, this is only the first derivative of the function f(x). Let's find the second derivative by applying the power rule once again, but this time to the first derivative, f'(x).

$\frac{d}{d} (f'x) = \frac{d}{dx} (12x^3+4x-8)$

$\frac{d}{dx} (12x^3+4x-8) = ((3)12x^3^-^1 + (1)4x^1^-^1 - (0)8)$

Simplify the equation.

$\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4x^0 - 0)$
$\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4(1) - 0)$
$\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4 )$

Therefore, this is the 2nd derivative of the function f(x).

We can say that: $f''(x)=36x^2+4$

6 0

2 years ago

Read 2 more answers

-45 / -5 = <br> plz can you help me

garri49 [273]

It would be 9 buddy. Negative divided by negative turns into positive. 45 divided by 5 is 9.

5 0

3 years ago

Read 2 more answers

I need the answers to 17 18 27 28

forsale [732]

Answer

17. A

18. C

27. A

28. A

Step-by-step explanation:

This stuff is simple. I just did this last week. I did the same exact sheet and i got a 100%

5 0

3 years ago

I NEED HELP ON THIS ONE PLEASEEEEE HELP MEE!!!!!!!!!!!

mojhsa [17]

A+b+c=28x+40=180
—>28x=140
—>x=140/28=5
c=9x-3
—>c=42

7 0

3 years ago

Mark from least to gratest<br> 3/4, 2/8, 5/6, 3/5

horrorfan [7]

Answer: 2/8 < 3/5 < 3/4 < 5/6

7 0

2 years ago

Read 2 more answers