Answer:
6
y
+
3
=
−
4
y
2
Move
4
y
2
to the left side of the equation by adding it to both sides.
6
y
+
3
+
4
y
2
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
6
, and
c
=
3
into the quadratic formula and solve for
y
.
−
6
±
√
6
2
−
4
⋅
(
4
⋅
3
)
2
⋅
4
Simplify.
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y
=
−
3
±
i
√
3
4
Step-by-step explanation:
Answer:
Height = 5
Minimum number of vertices in a binary tree
whose height is h.
So, there must be At least one node at each of first h levels.
Minimum number of vertices = h
So, Minimum number of vertices of height 5 is 5
The maximum number of nodes in a binary tree of height h = 
Substitute h = 5
The maximum number of nodes in a binary tree of height 5 = 
The maximum number of nodes in a binary tree of height 5 = 63
So, the maximum number of vertices in a binary tree with height 5 is 63
Answer:
Drinks= $3.50 popcorn=$4.25
Step-by-step explanation:
Let medium popcorn=m
Let drinks= d
Equation 1: m+3d=14.75
Equation 2: 2m+5d=26
Solve simultaneous equation
Multiply Equation 1 by 2 and compare to find d
Substitute d into equation 2 to find price of medium popcorn
Answer:
12
Step-by-step explanation:
14/7 = 2
So, 6 x 2 = 12.
They will ring again together at 10:15am. Because the common factor for 40, 48 and 60 is 240, which means 240 minutes, that equals to 4 hours. Hence 4 hours after 6.15am is 10.15am.
Hope this helps.