Answer:
<h2> a = 2, b = -1 </h2>
Step-by-step explanation:
p(x) = ax³ + x² - 2x + b
p(1) = a(1)³ + 1² - 2•1 + b = a + 1 - 2 + b = a + b - 1
a + b - 1 = 0 ⇒ b = 1 - a
p(-1) = a(-1)³ + (-1)² - 2(-1) + b = -a + 1 + 2 + b = - a + b + 3
- a + b + 3 = 0 ∧ b = 1 - a
- a + (1 - a) + 3 = 0
- a + 1 - a + 3 = 0
-2a + 4 = 0
-2a = -4
<u>a = 2</u>
<u>b = 1 - 2 = -1</u>
Answer:
(2, 6) .
Step-by-step explanation:
The point A has coordinates (5, 9) and B has coordinates (-1, 3).
The midpoint is (5 + -1)/2 , (9 + 3)/2.
= (2, 6) Answer.
Answer:
53
Step-by-step explanation:
Speed = Distance ÷ Time
Time = Distance ÷ Speed
Distance = Speed × Time
Speed = 7/45
Speed = 0.16mph
5/0.16=31.25 more minutes