Answer:
linear: 5s
quadratic: 50s
log-linear: 0.75 s
cubic: 500s
Step-by-step explanation:
Let 
be the running time associated with the input of sizes 
If the running time is linear
If the running time is quadratic
If the running time is log-linear
If the running time is cubic:
Answer:
Simplified = 4 + 3
, Decimal = 8.2426...
Step-by-step explanation:
Answer:
p
a
+
q
a
−
r
a
+
r
b
−
q
b
−
p
b
Regroup terms.
p
a
−
p
b
+
q
a
−
r
a
+
r
b
−
q
b
Factor
p
out of
p
a
−
p
b
.
Tap for more steps...
p
(
a
−
1
b
)
+
q
a
−
r
a
+
r
b
−
q
b
Rewrite
−
1
b
as
−
b
.
p
(
a
−
b
)
+
q
a
−
r
a
+
r
b
−
q
b
Factor out the greatest common factor from each group.
Tap for more steps...
p
(
a
−
b
)
+
a
(
q
−
r
)
−
b
(
−
r
+
q
)
Factor the polynomial by factoring out the greatest common factor,
q
−
r
.
p
(
a
−
b
)
+
(
q
−
r
)
(
a
−
b
)
Factor
a
−
b
out of
p
(
a
−
b
)
+
(
q
−
r
)
(
a
−
b
)
.
Tap for more steps...
(
a
−
b
)
(
p
+
q
−
r
)
point one zero two
or
zero and one zero two thousandths
