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2 years ago

6

9. Jack is learning to save, spend, and give his money away to charities. He has determined to give 10% of his summer job earnin

gs. If he earns $2,560, how much does he give to charity? Do not include units in your answer. *

1 answer:

Kamila [148]2 years ago

4 0

Answer:

$2560

Step-by-step explanation:

if 10%=256

then 10 times the amount 100% is 2560

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3 years ago

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Step-by-step explanation:

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Genrish500 [490]

Answer:

All numbers greater than -16.

Step-by-step explanation:

Hello!

To keep this expression negative, we can subtract a positive number (numbers greater than or equal to 0), to give us an even smaller negative number.

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2 years ago

Find dy/dx using first principle<br>x+1/x

JulsSmile [24]

Answer:

The derivative of the function is:

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

Step-by-step explanation:

The first principle is given by:

$f'(x)=\frac{dy}{dx}=lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}$

The function here is:

$f(x)=x+\frac{1}{x}$

Now, using the first principle we have:

$f'(x)=lim_{h\rightarrow 0}\frac{(x+h)+\frac{1}{(x+h)}-x-\frac{1}{x}}{h}$

$=lim_{h\rightarrow 0}\frac{h+\frac{1}{(x+h)}-\frac{1}{x}}{h}$

$=lim_{h\rightarrow 0}\frac{h-\frac{h}{x(x+h)}}{h}$

$=lim_{h\rightarrow 0}\frac{h(1-\frac{1}{x(x+h)})}{h}$

$=lim_{h\rightarrow 0}1-\frac{1}{x(x+h)}$

$=1-\frac{1}{x^{2}}$

Therefore, the derivative of the function is:

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

I hope it helps you!

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2 years ago