A smartphone costs $280. Sales tax is 8%. What is the total cost, including tax
1 answer:
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Answer:
- there are 4 complex solutions
- 3 real zeros and 2 complex zeros
Step-by-step explanation:
1. Descarte's rule of signs tells you there are 0 positive real roots and 0 or 2 negative real roots. (for positive x, signs are ++++ so have no changes; for negative x, signs are ++-+, so have 2 changes.) A graph shows no real roots.
2. There are 3 sign changes in the given polynomial, so 3 or 1 positive real roots. When the sign of x is changed, there are 2 sign changes, so 0 or 2 negative real roots. A graph shows 2 negative and one positive real root (for a total of 3), so the remaining 2 roots are complex.
Recall the definition of the composition between two functions:
Similarly, but not always the same:
Use the rules of correspondence of the functions f and g to find the compositions:
Then:
On the other hand:
Therefore, the answers are: