Answer:
Step-by-step explanation:
Given:
The original function is given as:
The above function is stretched vertically by a factor of 2 to form the graph of 
.
According to the rule of function transformations, when the graph of a function is stretched in the vertical direction by a factor of 'C', where, 'C' is a number greater than 1, then the function rule is given as:
Therefore, the function is multiplied by a factor of 'C' to get the equation of the stretched function.
Here, the the value of 'C' is 2. So, the equation of is given as:
![g(x)=2f(x)\\g(x)=2[2(3)^{x+1}+4]\\g(x)=4(3)^{x+1}+8](https://tex.z-dn.net/?f=g%28x%29%3D2f%28x%29%5C%5Cg%28x%29%3D2%5B2%283%29%5E%7Bx%2B1%7D%2B4%5D%5C%5Cg%28x%29%3D4%283%29%5E%7Bx%2B1%7D%2B8)
Therefore, the equation of is .
16 - 4x > 9 - 5x Add 5x to both sides
16 + x > 9 Subtract 16 from both sides
x > -7
Answer: 5 units
Step-by-step explanation:
Bob need to paint 205 square feet.
Solution:
Length of the door = 7 ft
Breadth of the door = 5 ft
Area of the door = length × breadth
= 7 × 5
= 35
Area of the door = 35 ft²
The given image is a trapezoid.
Top base = 12 ft
Bottom base = 20 ft
Area of the trapezoid = 
= 240
Area of the trapezoid = 240 ft²
Surface area to paint = Area of the trapezoid – Area of the door
= 240 ft² – 35 ft²
= 205 ft²
Hence Bob need to paint 205 square feet.
Answer:
Cassava = ⅓ or 33.333%
Maize = ⅔x⅔ = 44.444%
total so far =77.777%
Remaining vegetable area =(100–77.777%) = 22.222%
If remaining area vegetables = 22.222% = 10 acres
Maize = ⅔x⅔ = 44.444% or 20 acres
Cassava = ⅓ or 33.333% or 15 acres
Total land area = 45 acres.
Step-by-step explanation:
