Answer:
Grows, Factor of 2
Step-by-step explanation:
The relationship between the elapsed time, t, in years, since Takumi started studying his tree, and the total number of its branches, N(t), is modeled by the function:

For illustration, let us take the growth for the first three years after he started studying the number of branches.

We notice that for each subsequent year, the number of branches doubles.
Therefore:
Every year, the number of branches <u>grows</u> by a factor of <u>2.</u>
Answer:
The required equation is
.
Step-by-step explanation:
If a quadratic equation is
, then the quadratic formula is

The given quadratic equation is

Here, a=1, b=-9 and c=-20.
Substitute a=1, b=-9 and c=-20 in the above quadratic formula.

Therefore the required equation is
.
I will try to solve your system of equations.
3
x
−
4
y
=
2
;
9
x
−
12
y
=
6
Step: Solve
3
x
−
4
y
=
2
for x:
3
x
−
4
y
+
4
y
=
2
+
4
y
(Add 4y to both sides)
3
x
=
4
y
+
2
3
x
3
=
4
y
+
2
3
(Divide both sides by 3)
x
=
4
3
y
+
2
3
Step: Substitute
4
3
y
+
2
3
for
x
in
9
x
−
12
y
=
6
:
9
x
−
12
y
=
6
9
(
4
3
y
+
2
3
)
−
12
y
=
6
6
=
6
(Simplify both sides of the equation)
6
+
−
6
=
6
+
−
6
(Add -6 to both sides)
0
=
0
Answer:
Infinitely many solutions.
I think it’s 45 but I may be wrong
Answer: 11 = y ÷ 6
Step-by-step explanation: since the problem says 11 is that means the equation equals 11 and when it says quotient that means that the equation must include division.