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MA_775_DIABLO [31]
3 years ago
12

What is the solution set to the equation (2x – 6)(3x – 4) = 0?

Mathematics
2 answers:
yan [13]3 years ago
6 0
Well if you are asking for the 2 values of x, then you would get this by setting each parenthesis to 0 this will result in 2x-6=0 now add the 6 to both sides and get 2x=6 now divide by 2 to get 3 your first x is 3 now lets do the next one, 3x-4=0 add the 4 to both sides and get 3x=4 now divide to get x=4/3 sp your 2 sets would be x=3 and x=4/3

Hope this helped

zavuch27 [327]3 years ago
4 0

Answer:

x=3 and x=\frac{4}{3}

Step-by-step explanation:

Given: (2x-6)(3x-4) = 0

To find: The solution set to this equation.

Solution:

To find the solution set to this equation, we need to find the values of x for which the equation becomes 0.

Here, the equation becomes 0 when 2x-6=0 and 3x-4=0.

Taking each case one by one,

2x-6=0

2x=6

x=3

3x-4=0

3x=4

x=\frac{4}{3}

So, the solution set of the equation is x=3 and x=\frac{4}{3}.

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3 years ago
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The triangles below are similar. Find x showing the proportion and all work.
zavuch27 [327]

we are given that

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so, the  ratio of their sides must be same

we get

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now, we can solve for x

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step-2: Simplify left side

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step-3: Subtract both sides by 2x

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4 years ago
Given that the square root function is only defined for non-negative numbers, define the domain of f in terms of c. {x | ≥ 0}
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Answer:

c:(0;+∞)

Step-by-step explanation:

Given the situation, that the square root function only allows you values above than "0" (not equal neither), then you must consider that every value above 0 belongs to it's domain.

Then, to express the domain, going from your most negative number, to your most possitive number (in this case all positive number, thats why we use infinite)  you must use the parenthesis wich means, you are not considering the value (in this case 0), but the value right after it, to the next value that as we said before, is inifinite. Also remember, that when you express a domain, and use infinite (despite it's going to negative way, or possitive way, it also goes with parenthesis).

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Answer:

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Step-by-step explanation:

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