Ask question

Ask question

All categories

3 years ago

15

If

=" g(x)=\frac{1}{x} " align="absmiddle" class="latex-formula"> and $h$ is a nonzero real number, then $\frac{g(x+h)-g(x)}{h}=$

1 answer:

Ksju [112]3 years ago

4 0

Fill in the given values and simplify.

$\dfrac{g(x+h)-g(x)}{h}=\dfrac{\dfrac{1}{x+h}-\dfrac{1}{x}}{h}\\\\=\dfrac{x-(x+h)}{h\cdot x(x+h)}\\\\=\dfrac{-1}{x(x+h)}$

You might be interested in

Apply the ADDITIVE IDENTITY PROPERTY to the following expression: 15 + 0

Lina20 [59]

Answer:

15

Step-by-step explanation:Addentitive property states that any number added with 0 is the original number. so, 15+0=15

5 0

3 years ago

I NEED HELP ASAP PLEASE DON'T SPAM :(

iogann1982 [59]

Answer:

Answer is D hope this helps

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

3. Find the value of a and b when<br>5+√6/5-√6 = a+b√6

mr Goodwill [35]

The answer for A is,

$a = 5 + \frac{ \sqrt{6} }{ \sqrt{5} } - \sqrt{6} - \sqrt{6b}$

And the answer for B is,

$b = - 1 + \frac{5 + \frac{ \sqrt{6} }{ \sqrt{5} } - a }{ \sqrt{6} }$

hope it helps.

sorry of its wrong.

4 0

3 years ago

Who do I do this problem

Leviafan [203]

You subtract 16 from each side of the equation.
Then it will say exactly what number 'n' is.
_______________________________________

The equation is n + 16 = 9

On the left side, you subtract 16 from (n + 16) and you have 'n'.

On the right side, you subtract 16 from 9 and you have -7 .

Now the equation says n = -7

3 0

3 years ago

a family buys a new home for $212,500 and pays a 20% down payment ($42,500). if the mortgage is for 15 years at 5.75% interest w

diamong [38]

Answer:

Their monthly house payment is of $2,184.65.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

A family buys a new home for $212,500 and pays a 20% down payment ($42,500).

This means that the loan is of 212,500 - 42,500 = $170,000, that is, $P = 170,000$

Value of the loan in 15 years:

15 years means that $t = 15$

5.75% interest means that $r = 0.0575$

Compounded yearly, so $n = 1$

Then

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(15) = 170000(1 + \frac{0.0575}{1})^{15}$

$A(15) = 393237$

Monthly payment:

Total of $393,237 in 15*12 months. So

$M = \frac{393237}{15*12} = 2184.65$

Their monthly house payment is of $2,184.65.

5 0

3 years ago