y = 2x + 4
in standard form is
2x - y = -4
Second equation is
x + 2y = 8
Those aren't parallel.
Answer: exactly one solution
Let's solve,
x +2(2x + 4) = 8
5x + 8 = 8
5x = 0
x = 0
y = 2x + 4 = 4
Solution is (0,4)
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:
The way that it is written is odd.
If the problem was 3(x-5)=30, it would be 3x-15=30.
Add 15 to both sides.
3x=45
Divide both sides by 3.
x=15
If it's supposed to be 3(x-5)<30, your answer would be the same, except:
x<15.
I'm not sure why it has both signs, especially next to each other.
I hope this helps :)
Answer:
see below
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
5x+60 + 3x-40 = 180
Combine like terms
8x +20 = 180
Subtract 20 from each side
8x+20-20=180-20
8x= 160
Divide by 8
8x/8=160/8
x=20
5x+60 = 5*20+60 = 160
3x-40 = 3*20-40 = 20
$7.5 dollars since 3/4 is 75% and since it’s $10 it can be calculated