A = 2
b = 2
c = -4
"a" is greater than zero so the vertex is a minimum point and the graph is concave up.
The (x,y) point of the vertex is usually designated by the letters (h, k)
The "x" position (or "h") is calculated with this formula:
h = -b / 2a
h = -2 / 4
h = -1 / 2
"k" is calculated with this equation:
k = ah^2 + bh +c
k =(2*-1 / 2 * -1 / 2) + (2 * -1 / 2) + -4
k = (1 / 2) - 1 -4
k = -4.5
so the vertex is at point (-.5, -4.5)
Source:
http://www.1728.org/quadr3.htm
Answer:
0.9973
Step-by-step explanation:
Given :
Probability of girl, probability of success , 1 - p = 1 - 0.519 = 0.481
1 - p = 0.481
n = 9
Probability that atleast one is girl
Usingbthe binomial probability distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
USing the binomial probability calculator :
p(x ≥ 1) = p(x=1) + p(x=2) + p(x=3) + p(x=4) + p(x=5) + p(x=6) + p(x=7) + p(x=8) + p(x=9)
p(x ≥ 1) = 0.9973 ( from calculator).
We have been provided :-
- Length of a side of a square =
We know that,
Therefore, to find the area we will simply put the given values in the equation.
So,
<u>❆ Some important identities to remember</u> :-
Hope that helps :)
Answer:
Step-by-step explanation:
Assuming the decay factor, m = 0.0005
f(x) =
f(9000) = = 1 - 0.0111 = 0.99
Answer:
The function is both injective and surjective.
Step-by-step explanation:
Given function,
We say a function is injective(one-one) when for every value of x we have a unique value of y.We say a function is surjective(onto) when the output y covers all the values of the co domain.
We know that in the graph of at no two points of x there can be a common y. So hence proved that is injective.
is also surjective because for x from - infinity to + infinity covers all the values in its co domain hence it is also surjecctive function.