Hi there!
Solve for the vertex by completing the square:
y = -0.25x² - 1.5x + 6
Factor out a negative:
y = -(0.25x² + 1.5x) + 6
Remember that a square binomial is:
a² + 2ab + b²
We know that:
a² = 0.25, so a = 0.5
1.5 = 2ab, so:
1.5 = 2(0.5)b
b = 1.5
b² = 2.25
Thus:
y = -(0.25x² + 1.5x + 2.25) + 6 - (-2.25)
Simplify:
y = -(0.5x + 1.5)² + 8.25
Find the vertex by factoring out 0.5:
y = -0.5(x + 3)² + 8.25
Thus, the vertex is:
(-3, 8.25)
Answer:
10=10 is a true statement so x∈{R}
Step-by-step explanation:
Answer:
Step-by-step explanation:
Good evening ,
_______________
a) p(rat)=1-(0,35+0,4+0,1)
b) p(cat ∪ hamster)=0,35+0,1
c) p(dog then dog)= (0,4)²
:)