Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain
2 answers:
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Hey!
The first step to solving this problem would be to distribute the parenthesis. We do this so that we can get rid of the parenthesis.
<em>Original Equation :</em>
5 ( x - 10 ) = 30 - 15x
<em>New Equation {Changed by Distribution} :</em>
5x - 50 = 30 - 15x
The next step would be to 50 to both sides. The reason we do that is to get rid of the 50 that is on the left side of the equation.
<em>Old Equation :</em>
5x - 50 = 30 - 15x
<em>New Equation {Changed by Adding 50 to Both Sides} :</em>
5x = 80 - 15x
And now we would add 15x to both sides to get rid of the -15x on the right side of the equation.
<em>Old Equation :</em>
5x = 80 - 15x
<em>New Equation {Changed by Adding 15x to Both Sides} :</em>
20x = 80
Now we divide both sides by 20 to get x on it's own.
<em>Old Equation :</em>
20x = 80
<em>New Equation {Changed by Dividing Both Sides by 20} :</em>
= 
Finally, all we have to do is solve to find x.
<em>Old Equation :</em>
=
<em>Solution {Old Equation Solved} :</em>
x = 4
<em>So, in the equation </em><span><em>5 ( x – 10 ) = 30 – 15x</em>, x = 4.
Hope this helps!
- Lindsey Frazier ♥</span>
The first step to solving this problem would be to distribute the parenthesis. We do this so that we can get rid of the parenthesis.
<em>Original Equation :</em>
5 ( x - 10 ) = 30 - 15x
<em>New Equation {Changed by Distribution} :</em>
5x - 50 = 30 - 15x
The next step would be to 50 to both sides. The reason we do that is to get rid of the 50 that is on the left side of the equation.
<em>Old Equation :</em>
5x - 50 = 30 - 15x
<em>New Equation {Changed by Adding 50 to Both Sides} :</em>
5x = 80 - 15x
And now we would add 15x to both sides to get rid of the -15x on the right side of the equation.
<em>Old Equation :</em>
5x = 80 - 15x
<em>New Equation {Changed by Adding 15x to Both Sides} :</em>
20x = 80
Now we divide both sides by 20 to get x on it's own.
<em>Old Equation :</em>
20x = 80
<em>New Equation {Changed by Dividing Both Sides by 20} :</em>
Finally, all we have to do is solve to find x.
<em>Old Equation :</em>
<em>Solution {Old Equation Solved} :</em>
x = 4
<em>So, in the equation </em><span><em>5 ( x – 10 ) = 30 – 15x</em>, x = 4.
Hope this helps!
- Lindsey Frazier ♥</span>