The final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that r
epresents the situation?
A) It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
B) It is linear because the function is continuous.
C) It is nonlinear because the final cost is determined by multiplying each price tag by 0.75.
D) It is nonlinear because the price tag and final cost columns do not have the same common difference.
A) It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
B) It is linear because the function is continuous.
C) It is nonlinear because the final cost is determined by multiplying each price tag by 0.75.
D) It is nonlinear because the price tag and final cost columns do not have the same common difference.
2 answers:
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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.
