Answer:
<em>In 4 hours.</em>
Step-by-step explanation:
Just equate f(x) = g(x). So:
15x + 90 = 30x + 30
60 = 15x
<em>x = 4 hours.</em>
We can draw the following picture:
then, we can see that the parallelogram consists in 2 equal triangles:
The area of a triangle is

By substituting the given values into the area formula, we get

Therefore, the area of the parallelogram is twice the area of one triangle:

which gives:

that is, the answer is 24000 ft^2
Answer:
b) 8 x - 21
Step-by-step explanation:
Apply the distributive property.
7
x
+
7
⋅
−
1
−
2
(
x
+
1
)
+
3
(
x
−
4
)
Multiply
7
by
−
1
.
7
x
−
7
−
2
(
x
+
1
)
+
3
(
x
−
4
)
Apply the distributive property.
7
x
−
7
−
2
x
−
2
⋅
1
+
3
(
x
−
4
)
Multiply
−
2
by
1
.
7
x
−
7
−
2
x
−
2
+
3
(
x
−
4
)
Apply the distributive property.
7
x
−
7
−
2
x
−
2
+
3
x
+
3
⋅
−
4
Multiply
3
by
−
4
.
7
x
−
7
−
2
x
−
2
+
3
x
−
12
Subtract
2
x
from
7
x
.
5
x
−
7
−
2
+
3
x
−
12
Add
5
x
and
3
x
.
8
x
−
7
−
2
−
12
Subtract
2
from
−
7
.
8
x
−
9
−
12
Subtract
12
from
−
9
.
8
x
−
21=
8
x
−
21