Answer:
a = - 2, b = - 6
Step-by-step explanation:
Substitute the values of the zeros into the polynomial and equate to zero.
x² +(a + 1)x + b
x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is
4 - 2a - 2 + b = 0
2 - 2a + b = 0 ( subtract 2 from both sides )
- 2a + b = - 2 → (1)
x = 3 → 3² + 3(a + 1) + b = 0, that is
9 + 3a + 3 + b = 0
12 + 3a + b = 0 ( subtract 12 from both sides )
3a + b = - 12 → (2)
Subtract (1) from (2) term by term to eliminate b
5a = - 10 ( divide both sides by 5 )
a = - 2
Substitute a = - 2 into either of the 2 equations and evaluate for b
Substituting into (2)
3(- 2) + b = - 12
- 6 + b = - 12 ( add 6 to both sides )
b = - 6
Thus a = - 2 and b = - 6
11.The answer is -13
13.The answer is -108
If a single ticket costs 40 dollars then the ten seats will generate the following
$40 x 10= $400
Answer:
0.03
Step-by-step explanation:
There are two 0s so it is 0.03
For every 5 cashews, there are 6 peanuts and 7 almonds.
Means: Cashews:Peanuts:Almonds = 5:6:7
Sum of ratio = 5 + 6 +7 = 18
Cashews = (5/18) * 270 = 75
Peanuts = (6/18) * 270 = 90
Almonds = (7/18) * 270 = 105
So how many more what are there than peanuts?
The number of that nuts Minus the number of peanuts.
= Number of that nuts - 90
