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3 years ago

15

Ok so I have fraction box with 1/20 20/25 2/3 and 5/4 the question provide a reason each fraction doesn't belong and to plot the

fractions on a number line

1 answer:

Soloha48 [4]3 years ago

7 0

Answer:C on edge

Step-by-step explanation:

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Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=

luda_lava [24]

Let $f(x) = x^3 - 2x - 2$ . Then differentiating, we get

$f'(x) = 3x^2 - 2$

We approximate $f(x)$ at $x_1=2$ with the tangent line,

$f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18$

The $x$ -intercept for this approximation will be our next approximation for the root,

$10x - 18 = 0 \implies x_2 = \dfrac95$

Repeat this process. Approximate $f(x)$ at $x_2 = \frac95$ .

$f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}$

Then

$\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}$

Once more. Approximate $f(x)$ at $x_3$ .

$f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}$

Then

$\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}$

Compare this to the actual root of $f(x)$ , which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.

4 0

2 years ago

Triangle ABC has been reflected over the y- axis to create triangle A’B’C’. Which of the following statements is true ? B’C’ = 2

Klio2033 [76]

Answer:

B'C' = 2

Step-by-step explanation:

Just took the FLVS test and it was correct

6 0

3 years ago

What’s the solution for 6(2m - 3) - 3m= 2m - 18 + m

katen-ka-za [31]

Answer:

12m-18-3m=2m+m-18

9m-18= 3m-18

9m-3m=18-18

6m=0

m=0/6=0

Step-by-step explanation:

5 0

3 years ago

Write 3.7 repeating as a mixed number

otez555 [7]

Explanation

3.7

=

3.0

+

0.7

=

30

10

+

7

10

=

37

10

This is because...

3

=

3

⋅

1

=

3

⋅

10

10

=

30

10

And also because...

0.7

=

1

10

⋅

7

=

7

10

4 0

3 years ago

Use the relationship between the angles in the

erastovalidia [21]

The 3 angles when added together make a straight line which is 180 degrees. To find x subtract the 2 known angles from 180.

The answer would be x = 180 - (67 + 52)

5 0

3 years ago