Answer: (5, -9)
Step-by-step explanation:
Rewrite the equation in term of x and y.
G(x) = 20(1.5)^x
Using the graph we can figure out that:
f(x) = 15(2)^x
So does f(x) have a faster rate of change than g(x) on the interval (-5,-3). I used the rate of change formula, and saw that it does NOT.
f(x) and g(x) are always positive, so the second one is not true.
f(x) and g(x) are always increasing, so the third one is TRUE.
g(x) intercept is 20 and f(x) intercept is 15, so the fourth one is TRUE.
So the answer is C and D.
Answer:
Brandyn is 41.48m from Chris
Step-by-step explanation:
I have drawn an image depicting this question and I've attached it.
From the diagram, chris is standing at point B while Brandyn is at point D. x is the distance of brandyn to the bottom of the pole.
The height of the pole is AC.
Now, by trigonometric ratio, we can find AC. Thus;
AC/20 = tan 35
AC = 20 tan 35
AC = 14
Since,we now have AC, we can find x.
Similarly, 14/x = tan 27
x = 14 / tan 27
x = 27.48 m
Thus, total distance of brandyn from Chris = 14 + 27.48 = 41.48 m
Answer:
e
f
∘
g
(
x
)
=
2
x
2
−
4
x
−
3
And
g
∘
f
(
x
)
=
(
2
x
−
3
)
(
2
x
−
5
)
Step-by-step explanation: f
(
x
)
=
2
x
−
3
g
(
x
)
=
x
2
−
2
x
=
f
(
g
(
x
)
)
=
f
(
x
2
−
2
x
)
=
2
(
x
2
−
2
x
)
−
3
=
2
x
2
−
4
x
−
3
g
∘
f
(
x
)
=
g
(
f
(
x
)
)
=
g
(
2
x
−
3
)
=
(
2
x
−
3
)
2
−
2
(
2
x
−
3
)
=
(
2
x
−
3
)
(
2
x
−
3
−
2
)
=
(
2
x
−
3
)
(
2
x
−
5
)
f
∘
g
(
x
)
≠
g
∘
f
(
x
)
Answer:
5 2/3
Step-by-step explanation:
2 * 2 5/6
2 * (12+5/6)
2 * (17/6)
34/6
17/3 = 5 2/3
