Answer: h=7
Step-by-step explanation:
By definition the function in vertex form is:

Where (h,k) is the vertex of the parabola.
You must group the terms that contain the same variable in the function:

Complete the square as following:

Now you must rewrite it as following:

Then:
h=7
54x+14= 43x+36
54x-43x= 36-14
11x = 22 /11
X =2
54*2+14 -= 122
Both the same
And the other are 180-122 = 58
Answer: Our required probability is 0.1695.
Step-by-step explanation:
Since we have given that
Number of male applicants = 4200
Number of female applicants = 3800
So, total number of applicants = 4200+3800 = 8000
Probability of male entered and subsequently enrolled is given by

Probability of female entered and subsequently enrolled is given by

Number of male entered and subsequently enrolled is given by

Number of female entered and subsequently enrolled is given by

So, Probability that a student who applied for admission will be accepted by the university and subsequently will enroll is given by

Hence, our required probability is 0.1695.
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<em>Hope this helps :-)</em>