To get the vertex of the parabola we proceed as follows;
y=-7(x-4)^2-5
The above can be written as:
y=-7x^2+56x-117
The values of a,b and c are:
a=-7, b=56 and c=-117
x=-b/(2a)
x=-56/(-7*2)=4
but;
y=-7x^2+56x-117
y=-7(4)^2+56(4)-117
y=-5
Thus;
x=4 and y=-5
The vertex will be at point (4,-5)
D, it increases then goes at a constant speed
Part A:
To get the interest of 1 year
Multiply 20,000 by 5% or 0.05
You get $1,000
Thats the amount for 1 year, now to get for 4 years, multiply 1,000, by 4
She pays $4,000 in interest
Part B:
If she pays it off in 2 years, instead of 4 years, she will pay an interest of $2,000, divide 4 by 2
Part C:
This is the same as part b, she saves $2,000
Hope this helps
-GoldenWolfX
Answer:
.
Step-by-step explanation:
Given homogeneous equation


Substitute y=ux , 

Now,




Integrating both side we get
lnu=-2lnx+lnC
Where lnC= integration constant


Cancel ln on both side

Substitute 
Then we get
xy=C
.
Answer:
.
Ayurveda is the traditional Hindu system of medicine, which is based on the idea of balance in bodily systems and uses diet, herbal treatment, and yogic breathing