Okay so the answer would be D
I don't know if you know any of this but I'm gonna do my best to explain it to you
So when you have coordinates, lets say ( 3,2) Your three is going to be on your x- axis and the 2 on the y-axis. (the x goes straight across, the y is up and down) When graphing you would count over right 3 on the x and the once you hit that you would go up 2, that is where your point goes. Same with negative if you had (-3,2) you would go left ( since it is negative) 3 and up 2. The way I figured your question out was I just put in all the coordinates and if one of them wasn't on the line, it isn't it. D has all its coordinates on the line. It takes a little to understand where the negatives and positives are on the graph and which way to go but just practice, it becomes fun after a while
I'm sorry if that didn't make much sense, if you were right here i could show you easier but I hope it helps somehow :)
Answer:
23
y = ----- (x + 1)^2 - 3
9
Explanation:
Use the general vertex form equation of the parabola to find the function.
1) Vertex form equation: y = A (x - h)^2 + k
Where h and k are the vertex - coordinates, i.e. vertex = (h,k)
2) The vertex is the minimum (or maximum) of the parabola. In this case it is (-1,-3)
=> h = -1, k = -3.
3) Replace the vertex-coordinates in the vertex form equation of the parabola:
y = A(x + 1)^2 - 3
4) To find A replace the coordinates of the other point given: (2,20)
=> 20 = A(2 + 1)^2 - 3
=> A(3^2) = 20 + 3
=> A(9) = 23
=> A = 23/9
5) Replace h, k and A in the vertex form of the parabola:
y = (23/9) (x + 1)^2 - 3
<span>120/x - 120/(x+10) = 1
120x + 1200 - 120x = x(x+10)
1200 = x^2+10x
x^2 + 10x - 1200 = 0
(x+40)(x-30) = 0
Positive solution:
x = 30 km/hr (rate on the 1st trip)
x+10 = 40 km/hr (rate on the return trip)</span>
Step-by-step explanation:
For every month increase by 1, the amount of dollars increase by 7. (from 65 to 72, 72 to 79, 79 to 86 etc.)
Hence at Month 7, there will be 100 + 7 = 107 dollars.
Answer:
2.5
Step-by-step explanation:
(8+1/8) = 8.125
(2.5+3/4) = 2.5 + 0.75 = 3.25
8.125 / 3.25 = 2.5