Answer:
y = 15
Step-by-step explanation:
Given: y varies directly with x, x=4 when y=20
To find: y when x = 3
Solution:
As y varies directly as x, it means that as x increases, y also increases by the same factor.
As y varies directly with x,

Here, k is a constant
As x = 4 when y = 20,

Put x = 3

Answer: Morgan make (66) 2point baskets.
Explanation:
It is given that during the basketball season, morgan made 3 times as many 2 point baskets as she made 3 point baskets and free throws combined.
Let the number of 2point basket be x, the number of 3point basket be y and the number of free throws be z.

If she made 14 free throws and eight 3point baskets, then the number of 2point did she make is,



Therefore, the number of 2point baskets make by morgan is 66.
Answer:
axis of symmetry x=3/2
vertex (3/2, 0)
Step-by-step explanation:
to find the axis of symmetry we use h = -b/2a
where ax^2 + bx+c
h = -(-12)/2(4)
h= 12/8
h = 3/2
the axis of symmetry is x = 3/2
the x coordinate of the vertex is h x=3/2
to find k, the y coordinate of the vertex, substitute x=3/2 into the equation
y=4x^2-12x+9
y=4(3/2) ^2-12(3/2)+9
= 4 (9/4) - 6*3 +9
= 9-18+9
= 0
the vertex (3/2, 0)
This is the correct answer to the problem