Solve the equation. Check the solution -4/x+1 = -1/x+5
2 answers:
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Answer:
The total number of units produced is 6 .
Step-by-step explanation:
Given as :
The earning of worker at the factory = $ 12 per hour + $ 2.50 each unit per hour
The total earning of worker per hour = $ 27
Let The total number of unit produced = x
According to question
The wage worker earn per hour + earning × per unit produced that hour = Total earning of worker per hour
Or, $ 12 per hour + $ 2.50 each unit per hour × x = $ 27
Or, $ 2.50 each unit per hour × x = $ 27 - $ 12
Or, $ 2.50 each unit per hour × x = $ 15
∴ x =
Or, x = 6
Hence The total number of units produced is 6 . Answer
The vertex-form equation is
y = a(x+1)² -16
Putting in the y-intercept values, we have
-15 = a(0+1)² -16
1 = a . . . . . . . . . . . add 16
Then the x-intercepts can be found where y=0.
0 = (x+1)² -16
16 = (x+1)²
±4 = x+1
x = -1 ± 4 = {-5, 3}
y = a(x+1)² -16
Putting in the y-intercept values, we have
-15 = a(0+1)² -16
1 = a . . . . . . . . . . . add 16
Then the x-intercepts can be found where y=0.
0 = (x+1)² -16
16 = (x+1)²
±4 = x+1
x = -1 ± 4 = {-5, 3}