Answer:14/20
Step-by-step explanation:

Substitute this into the parabolic equation,

We're told the line
intersects
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

We can tell from the quadratic equation that
has its vertex at the point (3, 6). Also, note that

and

so the furthest to the right that
extends is the point (5, 2). The line
passes through this point for
. For any value of
, the line
passes through
either only once, or not at all.
So
; in set notation,

Answer:
65.5
Step-by-step explanation:
Using the relation :
Xbar ± Margin of error
Margin of Error = Zcritical * s/√n
The Zcritical value at 95% = 1.96
Hence,
Margin of Error = 1.96 * 2.5/√60
Margin of Error = 1.96 * 0.3227486
Margin of Error = 0.6326
Lower boundary = 65.5 - 0.6326 = 64.867
Upper boundary = 65.5 + 0.6326 = 66.133
(64.867 + 66.133) / 2
Answer: y=3x
Step-by-step explanation:
2x3=6
3x3=9
5x5=15
6x3=18