A student solved a quadratic equation as shown here:
1 answer:
Answer:
x = 3/2 or x = -4
Step-by-step explanation:
The identifiable error the students have is that before the left hand side of the equation is factorized, the right hand side value of 12 ought to be brought to the left hand side, leaving a net value of zero on the right hand side. Then whatever is factored on the left hand side is then equated to zero and then we can find the two values of x after setting each of the individual factors to zero
We proceed as follows;
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Answer:
Step-by-step explanation:
Given:
The quadratic function is given as:
The standard form of a quadratic function is given as:
, where, 'a', 'h' and 'k' are real numbers.
Now, in order to convert the given function to standard form, we use completing by square method.
Now, can be rewritten as:
Therefore, the standard form of the function is:
Answer:
Domain is (0,∞)
Range is (45, ∞)
Step-by-step explanation:
Let x represents the number of persons and f(x) represents the average cost per person,
∵ Fixed cost = $ 2500
Also, additional cost is $ 45 per person,
So, the total cost for x persons ( in dollars ) = fixed deposit + additional cost for x persons,
= 2500 + 45x
Which is a rational function,
∵ A rational function is defined for all real numbers except those for denominator = 0
Denominator of f(x) = x
So, f(x) is defined for all real numbers except x ≠ 0,
Now, the cost can not be negative,
⇒ x > 0
Hence, the domain for f(x) is (0, ∞)
Again,
If
So, 45 < f(x) < ∞
i.e., range of f(x) is (45, ∞)