Answer:
1<x≤3
Step-by-step explanation:
Answer: - 6
Step-by-step explanationf
(
x
)
=
−
4
x
+
2
g
(
x
)
=
√
x
−
8
[
f
o
g
]
(
x
)
=
f
(
g
(
x
)
)
=
f
(
√
x
−
8
)
=
−
4
√
x
−
8
+
2
Therefore,
[
f
o
g
]
(
12
)
=
−
4
√
12
−
8
+
2
=
−
4
⋅
2
+
2
=
−
6
Answer:
5.6<x<4.0
Step-by-step explanation:
The hypotenus is 5.6 and the other side is 4.0
x is meant to be the shortest.
Answer:
The numbers are: 1 and 3.
Step-by-step explanation:
Let the first number be
and the second number be
.
Given: The difference between twice the number and the second number is
. writing this mathematically,
![$ 2x - y = -1 $](https://tex.z-dn.net/?f=%24%202x%20-%20y%20%3D%20-1%20%24)
From the second statement we get:
![$ 2y + 3x = 9 $](https://tex.z-dn.net/?f=%24%202y%20%2B%203x%20%3D%209%20%24)
Solving for
and
we get:
![$ x = 1 $](https://tex.z-dn.net/?f=%24%20x%20%3D%201%20%24)
and ![$ y = 3 $](https://tex.z-dn.net/?f=%24%20y%20%3D%203%20%24)
Thus the first number is 1 and the second number is 3.