Answer:
we conclude that at x = -2 and x = -1, the value of f(x) = 2⁻ˣ and g(x) = -2x is the same.
Therefore, the solution to f(x) = g(x) is:
x = -2
x = -1
Step-by-step explanation:
Given the table
x f(x) = 2⁻ˣ g(x) = -2x
-3 8 6
-2 4 4
-1 2 2
0 1 0
1 1/2 -2
2 1/4 -4
3 1/8 -6
If we carefully observe, we can determine that
at x = -2, the value of f(x) = 2⁻ˣ and g(x) = -2x is the same.
In other words,
at x = -2
Thus,
at x = -2
f(x) = g(x)
Also at x = -1, the value of f(x) = 2⁻ˣ and g(x) = -2x is the same.
In other words,
at x = -1
Thus,
at x = -1
f(x) = g(x)
Summary:
Thus, we conclude that at x = -2 and x = -1, the value of f(x) = 2⁻ˣ and g(x) = -2x is the same.
Therefore, the solution to f(x) = g(x) is:
x = -2
x = -1
Let initial price be = x = 3.24
final price = y = 4.05
Difference = 4.05 - 3.24
= 0.81
Percentage increase = 0.81 / 3.25 × 100
= 25 %
The length of a room is 2 times it's breadth and 5 times of it's height.If the volume of the room is 800 m cube find the cost of papering it's wall at rs 6 per m²
Answer:
Rs. 1440
Step-by-step explanation:
Given that:
Breadth = b
Length = 2b
Height = 2b/5
Volume = b * 2b * 2b/5
Volume = 800 m³
800 = b * 2b * 2b/5
800 * 5 = 4b³
4000 = 4b³
4000/4 = 4b³/4
1000 = b³
10³ = b³
b = 10m
Length = 2 * 10 = 20m
Height = (2 * 10) / 5 = 4m
If plastering is at Rs. 6 per m²
Surface area:
2(lenght + breadth) height
2(20 + 10)4
2(30)4 = 240m²
Rs. 6 * 240 = Rs. 1440
3(-2) -9
-6-9
-15
-15 Is the value that represents the last expression