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never [62]
3 years ago
15

Pleaseeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Elis [28]3 years ago
6 0

Answer:

Step-by-step expdoing this for points

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Select the correct expressions. 1 Identify each expression that represents the slope of a tangent to the curve y= * +1 at any po
Olegator [25]

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

5 0
3 years ago
In the last two weeks of a sale, prices are reduced first by 30% and then by a further 40% of the new price . What is the final
Mandarinka [93]
15 x .30 = 4.50 discount     15-4.50= 10.50
10.50 x .40 = 4.20

Final cost of shirt  10.50-4.20 =  $6.30
5 0
3 years ago
What is the answer, plz help. 5(x-7) + 42 = 5x+7
dimaraw [331]

Answer:

x is all real numbers

Step-by-step explanation:

5(x-7) + 42 = 5x+7

Distribute

5x - 35 +42 = 5x+7

Combine like terms

5x +7 = 5x+7

Subtract 5x from each side

7=7

This is always true, so x can be any number

3 0
4 years ago
Read 2 more answers
Simplify the expression to a + bi form
Gnesinka [82]

-√4 + √(-48) + √121 + √(-108)

= -√(2²) + √(-1 • 3 • 4²) + √(11²) + √(-1 • 2² • 3³)

= -2 + 4√3 i + 11 + 6√3 i

= 9 + 10√3 i

4 0
3 years ago
Evaluate the expression when x=10, y=−2, and z=−5. −x2+6z/y=
goldfiish [28.3K]

- (10)2 + 6(-5)/(-2)

- 20 + -30/-2

- 20 + 16

4 ( I think)

8 0
4 years ago
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