Solve the following problem for the roots by completing the square. 3x2 -12x = 9
2 answers:
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For this case we have a quadratic equation, , of the form
Where:
We can solve the equation by factoring, that is, we bias two numbers that multiplied give as a result -60 and added as a result 28.
These numbers are:
Then, the factorization is given by:
The roots are:
Answer:
Answer:
The monthly cost for 9 HCF is $38.54
Step-by-step explanation:
<em>The graph is missing; however, the question can still be solved</em>
Given
Slope = 1.55
When monthly cost = $47.84, Amount of water = 15 HCF
Required
Determine the monthly cost for 9 HCF
From the question, we understand that it is a linear function;
Linear functions are of the form
Where y is the function of x and m is the slope
In this case; the function is the monthly water bill
and x is the amount of water
Solving for b
When monthly cost = $47.84, Amount of water = 15 HCF
The function is as follows;
Subtract 23.25 from both sides
Solving for the monthly cost for 9 HCF
Here, we have that
Substitute these values in the linear function;
<em>Hence, the monthly cost for 9 HCF is $38.54</em>