X=3+√13, 3-√13
substitute y for 0 and solve for x
Answer:
D. 5y^2 - 4y - 1
Step-by-step explanation:
Combine like terms:
(y^2 -y +1) +(4y^2 -3y -2)
= y^2(1 +4) +y(-1-3) +(1 -2)
= 5y^2 -4y -1
The equation of the parabola in the vertex form is y = (x - 3
- 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier
In the above question, A parabolic equation is given as follows:
Y = x^2 - 6x + 4
The equation of the parabola in the vertex form is :
y = a (x - h
+ k
Where a is a multiplier in the equation and (h,k) are the coordinates of the vertex
So, in order to obtain this form, we will use the method of completing square :
Y = x^2 - 6x + 4
y =
- 6x + (9 -9) + 4
y = (x - 3
+ ( -9 + 4)
y = (x - 3
- 5
where, ( 3, -5) is the vertex of the parabola and 1 is the multiplier
Hence, The equation of the parabola in the vertex form is y = (x - 3
- 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier
To learn more about, parabola, here
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Answer:
percentage of professional professor are 75
Step-by-step explanation:
Given data
academic professors A = 60%
professors tenured P = 70%
professors at Paracelsus University = 90%
to find out
what percent of the professional professors
solution
we know 90% of the professors are academic professors or tenured or both so we can say percent of academic professors = 60 + 70 - 90 = 40
because here
total = A + P - both
90 = 60 + 70 - both
both = 40
so professors tenured will be here 70 - 40 = 30
so
percentage of professional professor are = 30 / 40 × 100
percentage of professional professor are 75