4(x-6)<-2x+6 what is the solution to the inequality _
1 answer:
Simplify both sides if needed. The left-hand side needs simplification.
4(x - 6)
-2x + 6
4x - 24 -2x + 6
All is left to do is add and subtract to get the x variable all alone.
4x - 24 -2x + 6
6x - 24 6 <-- Add 2x to both sides
6x 30 <-- Add 24 to both sides
x 5 <-- Divide both sides by 6
In order to be in the solution set, x has to be less than or equal to 5.
In interval notation: [5, -∞)
4(x - 6)
4x - 24
All is left to do is add and subtract to get the x variable all alone.
4x - 24
6x - 24
6x
x
In order to be in the solution set, x has to be less than or equal to 5.
In interval notation: [5, -∞)
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Answer:
The most helpful representation would be option C.
Step-by-step explanation:
The horizontal distance traveled corresponds to one of the roots of the quadratic equation.
h(x) = -0.01(x-150)(x+4)
In this case, option c presents the roots of the polynomial, which answers are
x = -4
x = 150
Since we are talking about positive distances, the first option gets discarded.
So the horizontal distance is x = 150 feet
