The domain is the interval within which the values of x are meaningful/possible.
In the case of cost function, since we do not produce negative quantities of components, and there is no upper limit imposed on the production amount, the domain of the average cost function is therefore from zero to infinity (but excluding latter).
Written in interval notation, the domain is
Dom(C(x))=[0,infinity)
Answer:
A. 7
Step-by-step explanation:
Answer:
$255
Step-by-step explanation:
To find amount that is subtracted off of the original price, you would need to multiply 300 by 15% as a decimal
The decimal form of 15% is 0.15, meaning that you would have to multiply 300 and 0.15
Once you do this, you will get 45
To find the sale price, you need to subtract the amount that is discounted, 45, from 300
Once you do this, you will get 255
This means that the sale price of the item is $255
Answer:
Option B.
{–9 + i√225 / 24, –9 – i√225 / 24}
Step-by-step explanation:
12a² + 9a + 7 = 0
Using formula method, the solutions to the equation can be obtained as follow:
Coefficient of a² (a) = 12
Coefficient of a (b) = 9
Constant (c) = 7
a = –b ±√(b² – 4ac) / 2a
a = –9 ±√(9² – 4 × 12 × 7) / 2 × 12
a = –9 ±√(81 – 336) / 24
a = –9 ±√(– 225) / 24
Recall
–225 = –1 × 225
Thus,
–9 ±√(– 225) / 24 = –9 ±√(–1 × 225)/24
Recall
√(–1 × 225) = √–1 × √225 = i√225
Thus,
–9 ±√(–1 × 225)/24 = –9 ± i√225/24
Therefore,
a = –9 ± i√225/24
a = –9 + i√225 / 24 or –9 – i√225 / 24
Therefore, the solutions to the equation are:
{–9 + i√225 / 24, –9 – i√225 / 24}
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