Answer:
1. 1:4
2. y = 4 x X
3. yes
Step-by-step explanation:
1. every 1 minuet he cleans 4 shrimp
2. y is the number of shrimp and x is the time. if every miuet he cleans 4 shrimp, then that means you have to multiply the shrimp by the minuets. for example, if he spends 2 minuets, he cleans 8 shrimp because 2 x 4 = 8.
3. This is a proportional relationship because if you were to put this on a graph, it would be a strait line. for example, if you were to plot x (the time) on a line (this line would go horizontal) and y (shrimp) on the line (this line goes verticle) 1 minuet = 4 shrimp. 2 minuets = 8 shrimp. 3 minuets = 12 shrimp. 4 minuets = 16 shrimp.
i hope this helps. tell me if this is too confusing or if you need more help. have a great day :)
Answer: (0, -3/7)
Step-by-step explanation:
The Y-intercept would be the value of y when x is at 0, which is when the Y axis is intercepted. -3/7 is the starting position of the function when the the X = 0.
Answer:
that is the equation of the line, its slope is 1 and the y-intercept is 1 y = x + 1
Step-by-step explanation:
we can calculate the slope of this line passing through (4,5) and (8,9) like this:
m = (y2 - y1)/(x2 - x1)
m = (9 - 5)/(8 - 4)
m = 4/4
m = 1
so the slope is 1, and now we can use the equation of one point and the slope to write the line's equation:
y - y1 = m(x - x1)
y - 5 = 1*(x - 4)
y - 5 = x - 4
y = x + 1
that is the equation of the line, its slope is 1 and the y-intercept is 1
Answer:
12
Step-by-step explanation:
4y - 2x
= 4(7) - 2(8)
= 28 - 16
= 12
The function in vertex form is

(refer to your other post I solved it there).
The general form of quadratic equations in vertex form is

, where (h, k) is the vertex of the parabola.
Here, a = 1, h = -6 and k = -54
Therefore, the vertex is (-6, -54) and it is a maximum because a = 1 is postive.