It is given that x is 5 less than the quotient of y and 3.
And given value of y is 18 .
So quotient of y and 3 is
And 5 less than 6 =1
So we have y=18 and x=1
Given expression is
At x=1 and y=18, we will get
Are there any answers to choose from?
So if Jack was 10 years older than Priscilla and their ages combined equals to 170. I believe Priscilla is 80 and Jack was 90 cause 90+80=170
The equation of the parabolas given will be found as follows:
a] general form of the parabolas is:
y=k(ax^2+bx+c)
taking to points form the first graph say (2,-2) (3,2), thus
y=k(x-2)(x-3)
y=k(x^2-5x+6)
taking another point (-1,5)
5=k((-1)^2-5(-1)+6)
5=k(1+5+6)
5=12k
k=5/12
thus the equation will be:
y=5/12(x^2-5x+6)
b] Using the vertex form of the quadratic equations:
y=a(x-h)^2+k
where (h,k) is the vertex
from the graph, the vertex is hence: (-2,1)
thus the equation will be:
y=a(x+2)^2+1
taking the point say (0,3) and solving for a
3=a(0+2)^2+1
3=4a+1
a=1/2
hence the equation will be:
y=1/2(x+2)^2+1
