Answer:
29) discriminant is positive
30) discriminant is 0
31) discriminant is negative
Step-by-step explanation:
the graph of a quadratic function y=ax^2 + bx + c is shown. Tell whether the discriminant of ax^2 + bx + c = 0 is positive, negative, or zero.
In the graph of question number 29 we can see that the graph intersects the x axis at two points
so the equation has 2 solutions.
When the equation has two solution then the discriminant is positive
In the graph of question number 30 we can see that the graph intersects the x axis at only one point
so the equation has only 1 solution.
When the equation has only one solution then the discriminant is equal to 0
In the graph of question number 30 we can see that the graph does not intersects the x axis
so the equation has 2 imaginary solutions.
When the equation has two imaginary solutions then the discriminant is negative
Y=Acos(p)+m, A=amplitude, p=period, m=midline, in this case:
A=1/2, p=360(t/12)=30t, m=(10-9)/2+9=9.5 so
h(t)=(1/2)cos(30t)+9.5
If there were 5 yes votes for every 4 no votes, there were 5 yes votes for every 9 total votes, so 5/9 of the 7911 votes were yes. 5/9*7911=4395.
Answer:
28 : 112
Step-by-step explanation:
you can multiply 14 by 2 and 56 by 2 and you get 28 for 14 and 112 for 56 so 28:112 is equivalent to 14:56.
Answer:
=2mπ + π/3 for m ∈ Z.
Step-by-step explanation:
Given the equation 
, we are to find all the values of that satisfies the equation.
General solution for sin is = nπ + (-1)ⁿ ∝, where n ∈ Z.
If n is an even number say 2m, then = (2m)π + ∝ where ∝ = 60° = π/3
Hence, the general solution to the equation will be = 2mπ + π/3 for m ∈ Z.
