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2 answers:
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Step-by-step explanation:
y = |x - 2| - 1
Given equation is in the form of y=|x-h|+k
Where (h,k) is the vertex
h = 2 and k =-1
So (2, -1) is the vertex for the given function
To find x intercepts we plug in 0 for y
we will get two values for x because of absolute function
0 = |x-2| -1
add 1 on both sides
|x-2| =1
x-2 =1 and x-2 =-1
x= 3 and x= 1
So x intercepts are (1,0) and (3,0)
the graph is attached below
50 adult tickets and 20 children tickets were sold for the concert.
Step-by-step explanation:
Given,
Number of concert tickets sold = 70
Revenue generated = $550
Cost of each adult ticket = $9
Cost of each child ticket = $5
Let,
x be the number of adult tickets sold
y be the number of child tickets sold
According to given statement;
x+y=70 Eqn 1
9x+5y=550 Eqn 2
Multiplying Eqn 1 by 5
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 4
Putting x=50 in Eqn 1
50 adult tickets and 20 children tickets were sold for the concert.
Keywords: linear equation, elimination method
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