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stira [4]
3 years ago
11

Solve the simultaneous equation: 3x+y=-4 3x-4y=6

Mathematics
1 answer:
Verdich [7]3 years ago
7 0

3x+y=-4

3x-4y=6

--------------subtract

5y = -10

y = -2

Substitute y = -2 into 3x + y = -4

3x + (-2) = -4

3x - 2 = -4

3x = -2

 x = -2/3

Answer

Solution x = -2/3, y = - 2 OR (-2/3 , - 2)

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Use​ Newton's method to find an approximate solution of ln(x)=10-x. Start with x_0 =9 and find x_2 .
vova2212 [387]

Answer:

x₂ = 7.9156

Step-by-step explanation:

Given the function  ln(x)=10-x with initial value x₀ = 9, we are to find the second approximation value x₂ using the Newton's method. According to Newtons method xₙ₊₁ = xₙ -  f(xₙ)/f'(xₙ)

If f(x) = ln(x)+x-10

f'(x) = 1/x + 1

f(9) = ln9+9-10

f(9) = ln9- 1

f(9) = 2.1972 - 1

f(9) = 1.1972

f'(9) = 1/9 + 1

f'(9) = 10/9

f'(9) = 1.1111

x₁ = x₀ -  f(x₀)/f'(x₀)

x₁ = 9 -  1.1972/1.1111

x₁  = 9 - 1.0775

x₁  = 7.9225

x₂ = x₁ -  f(x₁)/f'(x₁)

x₂ = 7.9225 -  f(7.9225)/f'(7.9225)

f(7.9225) = ln7.9225 + 7.9225 -10

f(7.9225) = 2.0697 + 7.9225 -10

f(7.9225) = 0.0078

f'(7.9225) = 1/7.9225 + 1

f'(7.9225) = 0.1262+1

f'(7.9225) = 1.1262

x₂ = 7.9225 - 0.0078/1.1262

x₂ = 7.9225 - 0.006926

x₂ = 7.9156

<em>Hence the approximate value of x₂ is 7.9156</em>

7 0
3 years ago
Who is agent in marketing​
frozen [14]

Answer:

They act as an extension of the manufacturing company.

6 0
2 years ago
There are eight boys in a pre-school class. Their mean height is 33 inches and their median height is 33 inches. The tallest boy
Mekhanik [1.2K]

Using the median concept, it is found that it would remain the same, as only the tallest student is replaced, which does not influence the median.

<h3>What is the median?</h3>

The median of a data-set is the value that <u>separates the bottom 50% from the upper 50% of values.</u>

Hence:

  • In a data-set of 8 values, the median is the <u>mean between the 4th and the 5th elements</u>.
  • Only the tallest student is replaced, which is the 8th element, hence not affecting the median, which remains the same.

You can learn more about the median concept at brainly.com/question/23923146

4 0
2 years ago
Pick the correct number of dots that are required to form a square as well as a rectangle. a. 20 b. 36 C. 28 d. 25​
erma4kov [3.2K]

Answer:

36

Step-by-step explanation:

For Square, it will be

length of each side will be 6 units

in the case of Rectangle, it will be,

length of longer side =9 units

length of shorter side=4 units

8 0
1 year ago
One forth of one third of two fifths of a number is 15. What is the number?
timama [110]

A fourth of a third of two fifths is a thirtieth.

(1 x 1 x 2) / (4 x 3 x 5) = 2 / 60 = 1 / 30

A thirtieth of a number () is fifteen, the number is four hundred and fifty.

= 15 / (1 / 30) = 15 x 30 = 450

forty percent of four hundred and fifty is one hundred and eighty.

(450 / 100) x 40 = 180

4 0
2 years ago
Read 2 more answers
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