Step-by-step explanation:
mean of cheese = 99+8+10/3 = 117/3 = 39
mean of butter = 41+16+0/3 = 57/3 = 19
mean of non fat dairy milk = 255+8+15/3 = 278/3 = 92.6~93
median of cheese 8, 10, 99 median is 10
median of butter 0, 16, 41 median is 16
nonfat dairy milk 8, 15, 255 median is 15
range of cheese 99-10 = 88
range of butter 41-16 = 25
range of nonfat dairy milk = 255-8 = 247
20% of a number is 1/5th of it so 50 × 5 is 250
Answer:
A) y = 3(x -3)^2 -46
B) (3, -46)
C) look at the y-coordinate of the vertex
Step-by-step explanation:
A) Factor the leading coefficient from the variable terms.
y = 3(x^2 -6x) -19
Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.
y = 3(x^2 -6x +9) -19 -3(9)
y = 3(x -3)^2 -46
__
B) Compared to the vertex form, ...
y = a(x -h)^2 +k
we find a=3, (h, k) = (3, -46).
The vertex is (3, -46).
__
C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.
If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.
Step-by-step explanation:
