Answer:
f(x) = 3 + 2
Step-by-step explanation:
Given G(x) =
As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)
=> f(x) = a + 2
As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3
and there is no reflection, so a= 3
=> the equation of f(x) is: f(x) = 3 + 2
Answer:
The Length of swimming pool is 8.35 feet
The width of swimming pool is 5.35 feet
Step-by-step explanation:
Given as :
The length of swimming pool is 3 feet longer that its width
Let The width of swimming pool = w feet
So, The Length of swimming pool = L = (w + 3) feet
Now, The swimming pool is surrounded by deck of 2 feet wide
The width of deck = w' = w + 2 + 2 = (w + 4) feet
The area of deck = 116 feet²
The length of deck = L' = L + 2 + 2 = (L + 4) feet
So, L' = (w + 3 + 4) feet
I.e L' = (w + 7) feet
∵ The area of deck = 116 feet²
So , L' × w' = 116 feet²
(w + 7)× (w + 4) = 116
Or, w² + 4 w + 7 w + 28 = 116
Or, w² + 11 w - 88 = 0
Solving the quadratic equation as
ax² + bx + c = 0
So, w =
Or, w =
Or, w =
or, w =
or, w = 5.35 , -16.35
The width of swimming pool = w = 5.35 feet
The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet
Hence, The Length of swimming pool is 8.35 feet
And The width of swimming pool is 5.35 feet
Answer