Answer:
C
Step-by-step explanation:
Now there are 6+4+8+1+1=20 dads in the Dads Club.
Fewer than 3 children have
- 1 child - 6 dads
- 2 children - 4 dads.
So, 6+4=10 dads have fewer than 3 children.
The probability that the dad of Dads Club has fewer than 3 children is
The probability that the next dad to join Dads Club has fewer than 3 children is reasonable to be 50%.
The vertex is the high point of the curve, (2, 1). The vertex form of the equation for a parabola is
.. y = a*(x -h)^2 +k . . . . . . . for vertex = (h, k)
Using the vertex coordinates we read from the graph, the equation is
.. y = a*(x -2)^2 +1
We need to find the value of "a". We can do that by using any (x, y) value that we know (other than the vertex), for example (1, 0).
.. 0 = a*(1 -2)^2 +1
.. 0 = a*1 +1
.. -1 = a
Now we know the equation is
.. y = -(x -2)^2 +1
_____
If we like, we can expand it to
.. y = -(x^2 -4x +4) +1
.. y = -x^2 +4x -3
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An alternative approach would be to make use of the zeros. You can read the x-intercepts from the graph as x=1 and x=3. Then you can write the equation as
.. y = a*(x -1)*(x -3)
Once again, you need to find the value of "a" using some other point on the graph. The vertex (x, y) = (2, 1) is one such point. Subsituting those values, we get
.. 1 = a*(2 -1)*(2 -3) = a*1*-1 = -a
.. -1 = a
Then the equation of the graph can be written as
.. y = -(x -1)(x -3)
In expanded form, this is
.. y = -(x^2 -4x +3)
.. y = -x^2 +4x -3 . . . . . . same as above
Answer:
126/185
Step-by-step explanation:
checked in symbolab)
Answer:
2 x 10^6
Step-by-step explanation:
10^6 = 1,000,000
2 x 1,000,000 = 2,000,000
10^5 = 100,000
9 x 100,000 = 900,000
2,000,000 > 900,000
If you add 12% + 12%= 24% you can just double 30 making the answer 60
