At a theme park, the admission price for children is $7 and the admission price for adults is $21. The total amount the theme pa
1 answer:
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Answer with Step-by-step explanation:
We are given that a sample space
S={a,b,c,d,e}
P(a)=0.1
P(b)=0.1
P(c)=0.2
P(d)=0.4
P(e)=0.2
a.A={a,b,c}
P(A)=P(a)+P(b)+P(c)
P(A)=0.1+0.1+0.2=0.4
b.B={c,d,e}
P(B)=P(c)+P(d)+P(e)=0.2+0.4+0.2=0.8
c.A'=Sample space-A={a,b,c,d,e}-{a,b,c}={d,e}
P(A')=P(d)+P(e)=0.4+0.2=0.6
d.={a,b,c,d,e}
=P(a)+P(b)+P(c)+P(d)+P(e)=0.1+0.1+0.2+0.4+0.2=1
e.={c}
Answer and Explanation:
Given : The quadratic function
To find : Determine the following ?
Solution :
The x -intercept are where f(x)=0,
So,
Applying middle term split,
The x-intercepts are (4,0) and (-3,0).
The smallest x-intercept is x=-3
The largest x-intercept is x=4
The y -intercept are where x=0,
So,
The y-intercept is y=12.
The quadratic function is in the form,
On comparing, a=-1 , b=1 and c=1 2
The vertex of the graph is denote by (h,k) and the formula to find the vertex is
For h, The x-coordinate of the vertex is given by,
For k, The y-coordinate of the vertex is given by,
The vertex of the function is
The x-coordinate of the vertex i.e. is the axis of symmetry,
So, (solved above)
The axis of symmetry is .