How many Solutions are there for -6(3x+2)=2x-5-20x-7
1 answer:
First of all, expand the left hand side:
Sum like terms on the right hand side:
As you can see, the equation turned to be an identity: it doesn't matter which value for x you are choosing: you're evaluating the same expression in both sides, so they will always be the same.
In other words, you're asking: which value for x should I choose so that -18x-12 and -18x-12 evaluate to the same number? Well, obvisouly any value for x will do.
So, there are infinitely many solutions to this equation, namely ever real number is a solution of this equation.
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Using the graph and function concepts, it is found that:
a) The domain is , while the range is
b) The function is increasing in and
, and decreasing
, and
.
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- The domain of a function is given by it's input values, that is, the values of x, the horizontal axis on the <em>graph</em>.
- The range of a function is given by it's output values, that is, the values of y, the vertical axis on the <em>graph</em>.
- If the <em>graph </em>is pointing upwards, the function increases.
- If the <em>graph </em>is pointing downwards, the function decreases.
--------------------
Item a:
- On the graph, the x-values are from -5 to 4, thus the domain is:
- The y-values are from -2 to -5, thus, the range is:
--------------------
Item b:
- On the graph, it is pointing upwards on the following intervals, for x-values: From 0 to 1, and from 2 to 3, thus, the function is increasing in
and
.
- On the other intervals,
, and
, the function is decreasing.
A similar problem is given at brainly.com/question/10891721