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mart [117]
2 years ago
6

Select the correct expressions. 1 Identify each expression that represents the slope of a tangent to the curve y= * +1 at any po

int (x, y)​

Mathematics
1 answer:
Olegator [25]2 years ago
5 0

The expressions which represents the slope of a tangent to the curve y=\frac{1}{x+1} at any point (x, y) are:

                                ​f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}

<h3>The slope of a tangent to the curve.</h3>

Mathematically, the slope of a tangent line to the curve is given by this equation:

f'(x) =limh \rightarrow 0\frac{f(x+h)-f(x)}{h}

Given the function:

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

When (x + h), we have:

f(x+h)=y=\frac{1}{x+h+1}

Next, we would find the derivative of f(x):

f'(x) =limh \rightarrow 0\frac{\frac{1}{x+h+1} -\frac{1}{x+1}}{h}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -(x+h+1)}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -x-h-1}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}\\\\f'(x) = \frac{-1}{(x+1)(x+1)} \\\\f'(x) = \frac{-1}{(x+1)^2}

Read more on slope of a tangent here: brainly.com/question/26015157

#SPJ1

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<img src="https://tex.z-dn.net/?f=3%28y%20-%209%29%20%3D%2030" id="TexFormula1" title="3(y - 9) = 30" alt="3(y - 9) = 30" align=
Ira Lisetskai [31]

Answer:

y=19

Step-by-step explanation:

3(y - 9) = 30

3y - 27 = 30

       3y = 30 + 27

       3y = 57

         y = 19

brainliest?

4 0
3 years ago
What is the measure of angle I, m
strojnjashka [21]

Answer:

angle I =110

70 +I = 180 (opp side of parallelogram are equal)

I = 180 - 70

angle I =110

3 0
3 years ago
Need answer asap, correct answer will get brainliest
Cloud [144]

Answer:

x+5

Step-by-step explanation:

When you move to the right or left , that's on the x axis. And since it's to the right, the x- coordinate becomes larger. Hope this helps!

6 0
3 years ago
Read 2 more answers
A candy maker is making candy canes to sell over the holidays she has 45 left over the last month sale and she can make 225 per
notsponge [240]

F(x) stands for a function, and if x stands for the number of days, than she can do 225 per day, which would be the multiplication to find the toatl 225x.

Then, with 45 extra, we add that to the equation:

F(x) = 225x + 45

Answer: F(x) = 225x + 45

Credit to: @2Educ8

+ = <3

8 0
3 years ago
IF THE ODDS AGAINST A PARTICULAR CANDIDATE WINNING AN ELECTION ARE 9
ss7ja [257]

The probability that the candidate will win is P = 0.357

<h3>How to find the probability?</h3>

We know that the odds against the particular candidate are 9 to 5.

The the odds for the candidate are 5 to 9, this means that in 5 cases the candidate will win, and in 9 cases the candidate will lose.

Then the candidate wins in 5 out of 14 cases, then the probability that the particular candidate wins the elections is given by the quotient:

P = 5/14 = 0.357

The probability that the candidate will win is P = 0.357

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

5 0
2 years ago
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