Answer:
The first one is 1/2
The second one is 1
The third one is 0
Step-by-step explanation:
Answer:
z=4
Step-by-step explanation:
6+4=10
Answer:
2/15
Step-by-step explanation:
Given that :
pretzel = 4
Popcorn = 3
Cheddar cracker = 3
Total = 4 + 3 + 3 = 10
Probability = Required outcome / Total possible outcomes
Selecting with replacement :
First selection :
P(pretzel bag) = 4 / 10
Second selection :
P(pretzel bag) = 3 / 9
P(2 pretzel bags) = 4/10 * 3/9 = 12 / 90 = 2/15
<span>1.Rename with common denominators.
2.Regroup the first fraction.
3.Subtract the whole numbers and numerators.
<span>4.Simplify (if necessary)</span></span>
We know that this is a parabola, as the equation is denoted by the x^2 term.
We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.
The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).
We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.
To sum it up, the answers are:
-2x^2 + 2x - 1.
AoS: x = -0.5
Vertex: (-0.5, -0.5).
