Answer:
y = - x - 6
Step-by-step explanation:
y = mx + b
m = - 1
y = - x + b
(- 4, - 2)
- 2 = - (-4) + b
-2 = 4 + b
b = - 6
y = - x - 6
Answer: 0.3023
Step-by-step explanation:
86 band members
26 are senior, 17 plays trumpet. If 4 are seniors and play trumpet, we solve this using the bayes theorem of conditional probability.
Probability of choosing band member that plays trumpet =17/86 = 2/43.
Probability of choosing a senior that plays trumpet = 4/26
Probability that a chosen member is a senior given that he plays trumpet = (2/43)/(4/26)
= 0.3023.
Midpoint = ( x1 + x2)/2, (y1+ y2)/2
Midpoint = (10 +6)/2, (6+10)/2
Midpoint = (8,8)
You can rearrange f(x) as:
f(x) = 3(x^2 + 3x) + 12 = 3(x+1.5)^2 +5.25
So you can see the vertex is at (0,5.25) when x = -1.5
The axis of symmetry then lies in x = -1.5
Answer: since the 5 is a negative you are subtracting it from 3
so 3 +(-5) is actually 3-5. which = -2
Step-by-step explanation:
Hope this helps