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vovikov84 [41]
3 years ago
13

Does the equation 3(x-2)=3x-2 have one solution, no solution or an infinite number of solutions?

Mathematics
1 answer:
romanna [79]3 years ago
4 0

If you expand the left hand sign, the equation becomes

3x-6 = 3x-2

This means that the term 3x cancels out, since it appears in both sides. So, we're left with

-6=-2

which is clearly false, i.e. it leads to an impossible equation, which thus have no solutions.

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You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.

Then 3x^2 + 4x -2 = mx - 5

solve 3x^2 + 4x - mx -2 + 5 = 0

3x^2 + (4 - m)x + 3 = 0

In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>

b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0

(4 - m)^2 = 24

4 - m = +/- √(24)

m = 4 +/- √(24) = 4 +/- 2√(6)

Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6




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Mark dug a 20 foot hole in 4 hours. Which rational number shows the average depth Mark dug each hour? Check all that apply.
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A,B,D

Step-by-step explanation:

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A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to t
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Step-by-step explanation:

To answer this, we need to see the to see to the fact that they are both in the same unit before we can take the ratio.

Firstly, we know that 1 foot = 12 inches. 9 feet would this be 9 * 12 = 108 inches.

Now we are told to get the ratio of length of car to length of model.

This means 108:6 = 18:1

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