Step-by-step explanation:
f(x) = (3/2)ˣ
g(x) = (2/3)ˣ
These are examples of exponential equations:
y = a bˣ
If b > 1, the equation is exponential growth.
If 0 < b < 1, the equation is exponential decay.
So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.
Also, 2/3 is the inverse of 3/2, so:
g(x) = (3/2)^(-x)
So more specifically, f(x) and g(x) are reflections of each other across the y-axis.
Answer:
= 3oz
Step-by-step explanation:
v = 20mm ×150mm ×2mm = 6000 mm^3
so, the weight is
6000 mm^3 × 0 .0005oz/1mm^3 = 3oz
The size of the largest square is 36m². To find for the measures of the squares, use the common factors of 42 and 60. Among the common factors, choose the greatest.
Find the factors of 42 using the listing method.
42 - 1, 2, 3, 6, 7, 14, 21, 42
Find the factors of 60 using the listing method also.
60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Identify the common factors of 42 and 60.
42 - 1, 2, 3, 6, 7, 14, 21, 42
60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Common Factors: 1, 2, 3, 6
Therefore, the size of the largest square is 36m² since 6m x 6m is equals to 36m².
<span>Total households = 127,900,000
Proportion of households having remote control and not
7 : 3
7x + 3x = 127,900,000
10x = 127,900,000
x = 12,790,000
Households having remote control = 7x
= 7 X 12,790,000
= 89,530,000
Answer:
89,530,000 households have TV remote controls.</span>
