If polynomial function vanishes at
x
=
a
, then
(
x
−
a
)
must be one of its factors.
Thus
(
x
−
7
)
,
(
x
−
4
−
√
6
)
and
(
x
−
4
+
√
6
)
are factors of the required polynomial.
The simplest polynomial that satisfies this is
(
x
−
7
)
(
x
−
4
−
√
6
)
(
x
−
4
+
√
6
)
=
(
x
−
7
)
{
(
x
−
4
)
−
√
6
}
{
(
x
−
4
)
+
√
6
}
=
(
x
−
7
)
{
(
x
−
4
)
2
−
6
}
=
(
x
−
7
)
(
x
2
−
8
x
+
16
−
6
)
=
(
x
−
7
)
(
x
2
−
8
x
+
10
)
Answer:
10 - A(t)/(1000 + t)
Step-by-step explanation:
salt enters the tank at the rate of 9 liters per minute, and is pumped out at 10 liters per minute.
V(0) = 1000 liters
V(t) = 1000 + t.
Let A(t) be the amount of salt in gram at time t
The concentration of salt entering the tank is 120 grams/liters.
grams/liters is the concentration of the salt that is being pumped out of the tank at time t
= 1 * 10 - A(t)/(1000 + t)
= 10 - A(t)/(1000 + t)
Answer: try multiplication for the answer or use photomath
Step-by-step explanation:
Answer:
x = -2
Step-by-step explanation:
Answer:
b) 200 square inches
Step-by-step explanation:
Area of a pentagon: A = 1/2 * 5(side)(apothem).
- side: b = 10in
- apothem: a = 8 in
A = 1/2 * 5(side)(apothem).
A = 1/2 * 5(10)(8).
A = 1/2 * 5(80).
A = 1/2 * 400
A = 200 square inches
