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
Answer: 504
Step-by-step explanation:
Bianca because her graph has a bigger slope.
Answer: The answer is (C) cannot be determined.
Step-by-step explanation: Given that Jennifer and James planned to drive from home to the stadium to watch a football match on a rainy day. The distance from home to stadium is 30 miles.
Also, when they reached half the distance, i.e., they covered 15 miles, then they realised that they forgot the tickets, because of which they had to drove back to home and then again to the stadium.
Therefore, the total distance they covered = 15 + 15 + 30 =60 miles, i.e., they had to cover double the distance from home to the stadium.
Finally, it is given that the game was fantastic with final score of 21 to 20. This information has no relation to the original question which was about the distance, not score and we cannot find out score from the given information.
Thus, the correct option is (C) cannot be determined.
