Answer:
a(5)=25
a2+a6=44
a(4)+2a(6)=93
sqrta(5)=5
Step-by-step explanation:
You are given all the terms needed but sometimes you will have to create a formula.
a(b)=6b-5 is the formula in this sequence, now you can just plug in everything.
a(5)=6(5)-5
=25
a2=7
a6=37
7+37=44
a(4)=19, a(6)=37
19+2(37)=93
a(5)=25
sqrt25=5
The vertex is at (2, 5).
To find the vertex, we first find the axis of symmetry; this is given by
x = -b/2a
For our equation, b = -16 and a = 4:
x = -(-16)/2(4) = 16/8 = 2
We substitute this back into our equation:
y = 4(2)² - 16(2) + 21 = 4(4) - 32 + 21 = 5
Therefore the vertex is at (2, 5).
Answer:
.1, .17, .55, .80
Step-by-step explanation: