Question

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Based on the graph, what is the solution set to the equation −30+9x=−0.5x|x−1|−2?
The solution set to the equation is {____}.

Answer 1

{ 3 }

Explanation:

-30+9x=-0.5 |x-1| -2

from the graph, we can see that both curves intersect at (3,-3)⇒x=3

put x=3 in LHS&RHS

⇒LHS=-30+9(3)=-3

RHS=-0.5 |3-1|-2=

-1/2×2-2=-1-2=-3

so the answer will be 3..

hope it helps..

have a great day!!