Answer: x
Step-by-step explanation:
Answer:
5 4/9
Step-by-step explanation:
2 1/9 + -2/9 +3 5/9
= (2 1/9 +3 5/9) -2/9
= 5 6/9 - 2/9
= 5 4/9
Answer:
age is going to be the bottom axis and sleep is the left
put your finger on the age given, and move it up until you hit the amount of sleep an the y axis(or left).
so for age 1 the point would be at (1,13) age 2 (2,11) and so on
Answer:
We should attempt synthetic division to find when
x
3
−
k
x
2
+
2
k
x
−
15
x
−
3
has a remainder of
0
, which would signify that it is a factor of the polynomial.
The synthetic substitution would be set up as:
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
−−−
−−−
−−−
|
0
Treating the synthetic division like any other synthetic division problem, we see that
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
3
−−−−−−−−
−
3
k
+
9
−−−−−−−−
−
3
k
+
27
−−−−−−−−−
1
−
k
+
3
−
k
+
9
|
0
If the remainder equals
0
, then we know that
−
3
k
+
27
+
(
−
15
)
=
0
Solve this to see that
k
=
4
.
Thus,
(
x
−
3
)
is a factor of
x
3
−
4
x
2
+
8
x
−
15
.
