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adell [148]
3 years ago
7

Solving systems by elimination with multiplication: 8x+7y=20 and 4x-4y=-20

Mathematics
1 answer:
borishaifa [10]3 years ago
3 0
If you put 0 in the place of x or y, which every one you choose, it will cancel it or and you can just divide the number next to it by the answer (-20, 20). Take it one step at a time, don't try to do both at the same time.
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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
HELP ME OUT WITH THIS PLEASE I GIVE BRAINLIST and 100 points ❤️
Harman [31]

Answer:

incorrect length is 12.5

actual length is 11

12.5-11

1.5

1.5/12.5 ×100

20%

Step-by-step explanation:

hope it helps

5 0
3 years ago
Read 2 more answers
An element with mass 730 grams decays by 27.6% per minute. How much of the element is remaining after 12 minutes, to the nearest
Korolek [52]
\bf \qquad \textit{Amount for Exponential Decay}\\\\&#10;A=I(1 - r)^t\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;I=\textit{initial amount}\to &730\\&#10;r=rate\to 27.6\%\to \frac{27.6}{100}\to &0.276\\&#10;t=\textit{elapsed time}\to &12\\&#10;\end{cases}&#10;\\\\\\&#10;A=730(1-0.276)^{12}\implies A=730(0.724)^{12}
8 0
3 years ago
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Four numbers have a sum of 9900. The second exceeds the first by 1/7 of the first. The third exceeds the sum of the first two by
Amanda [17]

Answer:

1050, 1200, 2550 and  5100.

Step-by-step explanation:

If the first number is x then the second is  x + 1/7x.

The third =  x + x + 1/7x + 300 and the fourth = x + x + 1/7x + x + x + 1/7x+ 300 + 300.

So our equation is:-

8x +  4 * 1/7x  + 900 = 9900

60/7 = 9000

60x = 7*9000

x = 1050.

Therefore the 4 numbers are 1050,  *1/7*1050 = 1200, 2550 and  5100.


3 0
3 years ago
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i need help ASAP What is the slope of this line? Enter your answer as a fraction in simplest term in the box.
lesya692 [45]
The slope would be 0. hope this is helpful!
6 0
3 years ago
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