f(x)=3x^2-18x+10
a = 3, b = -18 and c = 10
The vertex of a parabola is in form a(x+d)^2 + e
d = b/2a = -18/2(3) = -18/6 = -3
e = c-b^2/4a = 10 - -18^2/4(3) = 10-27 = -17
Now the vertex form of the parabola becomes 3(x-3)^2 -17
Use the vertex form of the parabola in the vertex form of y = a(x-h)^2 +k
Where a = 3, h = -3 and k = -17
Now you have y = 3(x-(-3))^2 +(-17)
Simplify: y = 3(x+3)^2 -17
The vertex becomes the h and k values of (3,-17)
Answer:
There are 719,115.8179kg of fuel stored in the external tank
Step-by-step explanation:
102619.377 + 616496.4409 = 719,115.8179
139 thats all i can tell you because i cant write it out unless you want me too explain it by writing it
Answer:299.94
Step-by-step explanation:youre welcome
Let's assume
the number of hours Susan jogs at the increased speed is 't' hours
Since, increased speed is 6 miles per hour
after 't' hours , she travles with increased speed is 6*t miles
She starts off with a half-hour walk at a pace of 2 miles per hour
so, she travels distance
=0.5*2 miles
=1 miles
She travels a total of 4 miles
total distance is
=6t+1
now, we can set them equal

now, we can solve for t
Subtract both sides by 1


Divide both sides by 6
we get

so, the number of hours Susan jogs at the increased speed is 0.5 hrs.........Answer