Answer:
(h, k) is the point that represents the vertex of this absolute value function
Step-by-step explanation:
Recall that the vertex of an absolute value function occurs when the expression within the absolute value symbol becomes "zero", because it is at this point that the results in sign differ for x-values to the left and x-values to the right of this boundary point.
Therefore, in your case, the vertex occurs at x = h, and when x = h, then you can find the y-value of the vertex by looking at what f(h) renders:
f(h) = a | h - h | + k = 0 + k = k
Then the point of the vertex is: (h, k)
I'm not sure but I think it's 15
18 mins.
Explanation:
Time taken to travel 20 m = 1 min
Time taken to travel 360m = x min
therefore:
1/20=x/360
(cross multiply)
20 x =360(isolate x by dividing both sides by 20)
x = 360
20 x
= 18 mins.
Answer:
= 
- 12x- 11 + 
Step-by-step explanation:
Using long division of polynomials tells us that the polynomial:
5x^4 - 12x^3 + 4x^2 - 25x + 12
can be divided by
x^2 + 3
to give us an answer of
- 12x- 11 +
Set up the equation of two ratios:
3 racks 36 racks
----------- = --------------
15 min x
Solve this for x: 3x =540; x = 180 minutes, or 3 hours
