Answer: The value of 'h' is 3.
Step-by-step explanation: Given that the vertex form of a function is given by

We are to find the value of 'h' when the following function is converted to the vertex form.

From equation (ii), we have

Comparing it with the vertex form (i), we get

Thus, the value of 'h' is 3.
Answer:
a
Step-by-step explanation:
Answer:
y=-2/3x -6
Step-by-step explanation:
y=-6 so b=-6
rise/run=-2/3
Put that into an equation of y=mx+b and you get y=-2/3x -6
Answer:
5.5
Step-by-step explanation:
So, this is a simple factoring problem. The answer is 5.5(2x-1). So, heres how we get that answer.
So, factoring is basically breaking down the problem into smaller parts. So once we simplify the problem, we can factor it.
Simplify by combining like terms: 5x+6x= 11x and -2.5-3=-5.5
Now we have 11-5.5=?
so, we need to have (2x-1) in our answer because the problem asks for that in the answer.
We need to find a number that satisfies the equation and answer
so, 5.5(2x) is 11x, and 5.5(-1) is 5.5.
5.5 satisfies the equation, therefore is the answer
d = distance between the two cities
v₁ = average speed while going from chicago to kansas city = 440 knots
t₁ = time taken to travel distance going from chicago to kansas city
time taken to travel distance going from chicago to kansas city is given as
t₁ = d/v₁
t₁ = d/440 eq-1
v₂ = average speed while going from kansas city to chicago = 110 knots
t₂ = time taken to travel distance going from kansas city to chicago
time taken to travel distance going from kansas city to chicago is given as
t₂ = d/v₂
t₂ = d/110 eq-2
Given that :
t₂ = t₁ + 3
using eq-1 and eq-2
(d/110) = (d/440) + 3
d = 440