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White raven [17]
3 years ago
13

What is the value of x in the equation 4 3/10-(2 2/5x+5 1/2) = 1/2( -3 3/5x +1 1/5)

Mathematics
1 answer:
natta225 [31]3 years ago
4 0

43/10 - 12/5x + 11/2 = 1/2(-18/5x + 6/5)

Do the stuff in parentheses first

43/10 - 12/5x + 11/2 = -9/5x + 3/5

Now we have to isolate the everything with an x in ine side, and the stuff without x (the variable) on the other

Do this by adding 12/5x to both sides of the equation to switch the -12/5x to the right side

43/10 - 12/5x + 12/5x + 11/2= -9/5x + 3/5 + 12/5x

43/10 + 11/2 = -9/5x + 3/5 + 12/5x

98/10 = 3/5x + 3/5

Now subtract both sides by 3/5 to switch the 3/5 to the left side

98/10 - 3/5 = 3/5x + 3/5 - 3/5

98/10 - 6/10 = 3/5x

3/5x = 92/10

Now divide both sides by 3/5

3/5x÷3/5 = 92/10 ÷ 3/5

x = (92×5)/(10×3)

x = 92/6

hope it helps, I double checked, it is correct.

just let me know uf you have any questions :)

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Step-by-step explanation:

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Reika [66]

The domain and range of the graph of a logarithmic function are;

  • Domain; 0 < x < +∞

  • Range; The set of real numbers.

<h3>How can the graph that correctly represents a logarithmic function be selected?</h3>

The basic equation of a logarithmic function can be presented in the form;

y =  log_{b}(x)

Where;

b > 0, and b ≠ 1, given that we have;

y =  log_{1}(x)

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The inverse of the logarithmic function is the exponential function presented as follows;

x =  {b}^{y}

Given that <em>b</em> > 0, we have;

{b}^{y}  = x > 0

Therefore, the graph of a logarithmic function has only positive x-values

The graph of a logarithmic function is one with a domain and range defined as follows;

Domain; 0 < x < +∞

Range; -∞ < y < +∞, which is the set of real numbers.

The correct option therefore has a domain as <em>x </em>> 0 and range as the set of all real numbers.

Learn more about finding the graphs of logarithmic functions here:

brainly.com/question/13473114

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Step-by-step explanation:

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