Answer:
The original function is f(m) = 5(1.07)^m, with the m as an exponent
part A) if the final length is 9.19, we can set f(m) = 9.19 and solve for m
plugging it into a calculator, I get m = ~8.99, so a bit less than 9. therefore, a reasonable domain might be all the m values 9 or below, or m ≤ 9
part B) the y-intercept of a function is the value of the independent variable when the dependent variable = 0. the two variables in your problem are height and number of months - which one do you think is the independent one, and which one is dependent? then re-interpret "value of the independent variable when the dependent variable = 0" in terms of the actual quantities that the variables represent
part C) average rate of change from m = 1 to m = 9
f(9)−f(1)9−1
evaluate, and think about what that represents in terms of height and number of months
1)constitution 2)rule of law 3)separation of power 4)consent of governed 5)rights of minorities
Answer:
It is a perfect square. Explanation below.
Explanation:
Perfect squares are of the form
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
. In polynomials of x, the a-term is always x.(
(
x
+
c
)
2
=
x
2
+
2
c
x
+
c
2
)
x
2
+
8
x
+
16
is the given trinomial. Notice that the first term and the constant are both perfect squares:
x
2
is the square of x and 16 is the square of 4.
So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,
8
x
is of the form
2
c
x
.
The middle term is twice the constant times x, so it is
2
×
4
×
x
=
8
x
.
Okay, we found out that the trinomial is of the form
(
x
+
c
)
2
, where
x
=
x
and
c
=
4
.
Let us rewrite it as
x
2
+
8
x
+
16
=
(
x
+
4
)
2
. Now we can say it is a perfect square, as it is the square of
(
x
+
4
)
.
Answer:
you answered it
Step-by-step explanation:
you put no blah blah blah
Answer:
-4/3
Step-by-step explanation:
If the lines are parallel, they have the same slope.
Since the red line has a slope of -4/3, the green line will have a slope of -4/3
