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polet [3.4K]
3 years ago
14

Write an equation of the line below.

Mathematics
1 answer:
statuscvo [17]3 years ago
8 0

Answer:

y = -4x - 4

Step-by-step explanation:

Rise/Run

-8/2 = -4

Y-intercept:

-4

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Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your ans
VikaD [51]

Answer:

The two iterations of f(x) = 1.5598

Step-by-step explanation:

If we apply  Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

Given;

f(xₙ) = cos x, then  f'(xₙ) = - sin x

cos x / - sin x = -cot x

substitute in "-cot x" into the equation

xₙ₊₁ = xₙ - (- cot x)

xₙ₊₁ = xₙ + cot x

x₁ = 0.7

first iteration

x₂ = 0.7 + cot (0.7)

x₂ =  0.7 + 1.18724

x₂ = 1.88724

 

second iteration

x₃ = 1.88724 + cot (1.88724)

x₃ = 1.88724 - 0.32744

x₃ = 1.5598

To four decimal places = 1.5598

4 0
3 years ago
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dybincka [34]

Answer:

121/9

Step-by-step explanation:

= (-3\frac{2}{3} )^2

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Write an equation for a translation 1 unit down and 5 units right of y=|x|.<br> (y=[blank])
inn [45]

Answer:

Hence the corresponding equation of the given problem will be:

y'=|x-5|-1

Step-by-step explanation:

Let y' denote the corresponding equation after the translation of the given function y

We are given a equation of a function as:   y=|x|.

Now we have to write an equation such that there is a translation 1 unit down and 5 units right of y=|x|.

We know that for any function f(x) the translation 'a' units down is given by:

f(x)-a

And the translation 'b' units right of a function g(x) is given by:

g(x-b)

Hence the corresponding equation of the given problem will be:

y'=|x-5|-1



7 0
3 years ago
What is the best estimate for the answer of 47.82 + 74.31
Marysya12 [62]

Answer:

122

Step-by-step explanation:

Round the two numbers to the nearest whole number and add.

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