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rusak2 [61]
3 years ago
11

Please please help

Mathematics
1 answer:
777dan777 [17]3 years ago
6 0

Step-by-step explanation:

Statement. Reason

→ 9(x-6)+41 = 75. Transposing the like terms.

→ 9(x-6) = 75 - 41 Performing subtraction of the term in RHS

→ 9(x-6) = 34 Performing multiplication in LHS.

→ 9x - 54 = 34 Distributive property

→ 9x = 34 + 54 Performing addition of the term in RHS.

→ 9x = 88. Now, transpose 9 from LHS to RHS , it's arthmetic operator will get changed.

→ x = 88/9

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Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +
ss7ja [257]

Solution :

Given

$f(x)=x^3-x-1, x_1=1$

$f'(x)=3x^2-1$

Let the initial approximation is $x_1 =1$

So by Newton's method, we get

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$

$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$

$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$

$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$

$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$

$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$

$x_5 \approx x_6$ are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

∴ x = 1.32471795

4 0
3 years ago
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8 0
3 years ago
Read 2 more answers
If the coefficient of determination for a data set containing 24 points is 0.5,
aleksandrvk [35]

Answer:

False

Step-by-step explanation:

False - one has nothing to do with the other. None of the data points can lie on the regression line,

and you can have the coeff. of determination be 0.5.

7 0
3 years ago
Is the perpendicular bisector of a line segment also an angle bisector?
algol13

Answer:

yes

Step-by-step explanation:

In an isosceles triangle, one perpendicular bisector is also an angle bisector.

8 0
3 years ago
Add using scientific notation.<br> (5.2 x 10') + (3.01 x 10^)
satela [25.4K]

Answer: What's the exponents?

Step-by-step explanation:

5.2+3.01=8.21

but then there's no exponents that you stated. So it would be 8.21x10^?

If the tens do have exponents above them, add them together.

I hope this answer helps you!

7 0
4 years ago
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