Answer:
min f(x) = 3.95 (for x= 2.5)
Step-by-step explanation:
vertex (x) = 1/0,4 = 2,5
vertex (y) = 0.2(2.5)^2-2.5+5.2 = 3.95
8/30
= (8/2) / (30/2)
= 4/15
8/30 in its simplest form is 4/15~
Answer:
YES
Step-by-step explanation:
Find the equation of the line written as, y = kx. The graph shows a proportional relationship between y and x.
Constant of proportionality/unit rate/slope (k) = rise/run = ⁵/4.
Substitute ⁵/4 in y = kx
We would have:
y = ⁵/4x.
Using the equation of the line, we can know if a given point is on the line by plugging the value of x and y coordinates of the point into the equation. If it makes the equation true, then it is a point on the line. If it doesn't make the equation true, then it isn't a point on the line.
Let's plug in (16, 20) into y = ⁵/4x.
Thus substitute x = 16 and y = 20, we have:
[tex] 20 = \frac{5}{4}(16) [/trex]
[tex] 20 = (5)(4) [/trex]
[tex] 20 = 20 [/trex]
It makes the equation true. Therefore, the point, (16, 20) is a point on line l.
Answer:
3 students would get 10 markers
Step-by-step explanation:
