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:
Option B. It represents a nonlinear function because its points are not on a straight line.
Step-by-step explanation:
Let
we know that
If point A,B and C are on a straight line
then
The slope of AB must be equal to the slope of AC
The formula to calculate the slope between two points is equal to
<em>Find the slope AB</em>
substitute in the formula
<em>Find the slope AC</em>
substitute in the formula
so
Points A, B and C are not on a straight line
therefore
It represents a nonlinear function because its points are not on a straight line
Answer:
35cm²
Step-by-step explanation:
Area = trapezium + triangle
Trapezium = ½×(8+4)×2 = 12
Triangle = ½×8×5.75 = 23
Area = 12+23 = 35 cm²
Answer:
3/5
Step-by-step explanation:
Because we know the area in terms of paint flow, and paint flow in terms of time, we can substitute p(t) for p in the A(p) equation.
A(p(t)) = A(t) = <span>π * (5t)^2 (assuming it's squared for the A(p).
B: 314 units^2
If A(p) = </span>πp2 (instead of p^2), then A(t) = 10πt
B: 31.4 units^2
