Answer:
f
(
x
)
=
5
x
2
−
2
x
+
3
g
(
x
)
=
4
x
2
+
7
x
−
5
f
(
g
(
x
)
)
=
5
(
4
x
2
+
7
x
−
5
)
2
−
2
(
4
x
2
+
7
x
−
5
)
+
3
=
80
x
4
+
280
x
3
+
45
x
2
−
350
x
+
125
−
8
x
2
−
14
x
+
10
+
3
=
80
x
4
+
280
x
3
+
45
x
2
−
8
x
2
−
350
x
−
14
x
+
125
+
10
+
3
f
(
g
(
x
)
)
=
80
x
4
+
280
x
3
+
37
x
2
−
364
x
+
138
The answer is
f
(
g
(
x
)
)
=
80
x
4
+
280
x
3
+
37
x
2
−
364
x
+
138
.
Step-by-step explanation:
Answer:
The ladder is 4.86 foot from the base of the wall .
Step-by-step explanation:
Given as :
The length of the ladder = 28 ft
The ladder makes angle of 80° with the ground
Let The distance of the ladder from the foot of the wall = x ft
Now, From Triangle BAC
Cos angle = 
I.e Cos 80° = 
Or, 0.1736 = 
Or, x = 0.1736 × 28
∴ x = 4.86 foot
So, The distance of ladder from wall base = x = 4.86 foot
Hence The ladder is 4.86 foot from the base of the wall . Answer
Length = l = 3x
Width = w = 2x
P = 2l + 2w
P = 2(3x) + 2(2x)
530 = 6x + 4x
530 = 10x
53 = x
Length = 3x = 3(53) = 318 / 2 sides = 159
<span>Width = 2x = 2(53) = 212/ 2 sides = 106
the length of the lot is 159 yards
the width of the lot is 106 yards</span>
Answer: He bought about 6 sodas.
Step-by-step explanation:
Given: Tota cost of tickets = $ 78
Cost of each soda = $4.25
Total cost of sodas and tickets = 102.50
Let x = Number of sodas purchased
Then

Hence, he bought about 6 sodas.