Answer:
,
Step-by-step explanation:
The function of the graph can be written in the vertex form as
, where V(h,k)=V(2,4) is the vertex of the quadratic function.
We substitute the value to obtain;
,
The point (5,1) lies on the graph so we use it to determine the value of a.
,
,
,
The required equation is
,
Answer:
- proportional: A, B, D, G, I
- non-proportional: C, E, F, H
Step-by-step explanation:
Any relation with a non-zero initial value or y-intercept is non-proportional. Any relation that has a constant ratio between output and input is proportional.
C has an initial value of 7
E has a y-intercept of -3
F has an initial value of 2.00
H has an initial value of 5
All of these are non-proportional. The remainder are proportional.
Step-by-step explanation:
The formula the amusement parc use is 100y-39000=55(x-800)
The slope intercept form of a function is wriiten generally as:
y = mx+c
- m is a slope
- c is a constant and represents the y-intercept
- x is a variable
- y is the input of the function
Let's rewrite our equation in the precedent form
- 100y-39000 = 55(x-800)
- 100y -39000 = 55x-44000 add 39000 in both sides
- 100y-39000+39000 = 55x-44000+39000
- 100y = 55x-5000 divide both sides by 100
- y = 0.55x-50
The slope intercept form of this equation is:
y= 0.55x-50
