Answer:
The polynomial will be P(x) = - 5 (x + 2)²(x - 3)
Step-by-step explanation:
The degree of the polynomial P(x) is 3 and it has zeros at x = - 2 with multiplicity 2 and at x = 3 with multiplicity 1.
Therefore, (x + 2)² and (x - 3) are the factors of the equation.
Let the polynomial is
P(x) = a(x + 2)²(x - 3) ........... (1)
Now, the polynomial passes through the point (2,80).
So, from equation (1) we gat,
80 = a(4)²(-1)
⇒ a = - 5
Therefore, the polynomial will be P(x) = - 5 (x + 2)²(x - 3) (Answer)
Step-by-step explanation:
- -9x+18<-27
- -9x+18-18<-27-18
- -9x<-45
- x>-45/-9
- x>5
Answer:
Option A.
Step-by-step explanation:
It is given that the smallest of 6 consecutive integers is p. So, all numbers are
The greatest is q.
Now, the value of the average of p and q in terms of p is
Therefore, the correct option is A.
Decrease of 28.6%.
Step-by-step explanation:
The multiplier for a increase of a% is 1 + a/100.
The multiplier for a decrease of b% is 1 - b/100.
Decrease of 15%
1- 15/100 = 1- 0.15 = 0.85
Decrease of 16%
1- 16/100 = 1 - 0.16 = 0.84
Both:
0.85*0.84 = 0.714
Change:
The initial percentage is 100% = 1.
0.714 - 1 = -0.286
Negative, so a decrease
The answer is a decrease of 28.6%.
Answer:
1 2/3 ( d is the answer)
Step-by-step explanation:
See image below:) I know it says 5/3 but where it says alternative form it says 1 2/3