If f(x) = x^2
Then g(x) goes under the 3 transformations given...,
; Reflection on the x-axis...; -f(x)
; 3 units to the left...., -f(x + 3)
; 7 units up..., -f(x + 3) + 7
Then for....,g(x) = -f(x + 3) + 7
Where the function is going to be...
; g(x) = -(x + 3)^2 + 7
; g(x) = -(x^2 + 6x + 9) + 7
; g(x) = -x^2 - 6x - 9 + 7
;Hence the function of g(x) after all those transformations
g(x) = -x^2 - 6x - 2
Answer:
16×4= 64
64.00+3.50
(16×4)+(64.00+14.00)
Step-by-step explanation:
First you have to find how much the tickets will cost per person then add 14.00 because of the one time person but there is four so time 3.50×4
Given:
The sequence is 8, 10, 12.5, 15.625,...
To find:
The explicit formula for the given sequence.
Solution:
We have,
8, 10, 12.5, 15.625,...
Here, the first terms is 8.
The common ratio is 1.25. So, the given sequence is a geometric sequence.
The explicit formula for a geometric sequence is:
Where, a is the first term and r is the common ratio.
The explicit formula for the given geometric sequence is:
Therefore, the correct option is A.
Answer:
First dimension= 12ft Second dimension= 12×2.5=30ft
Step-by-step explanation:
From the question, I was able to deduce that the swimming pool is a cuboid, and the formula for finding the volume of a cuboid is Length×Breadth×Height.
let the first dimension be the length and the second dimension be the breadth.
Therefore, the length=L , Breadth= 2.5×L= 2.5L and Height= 8ft. L×2.5L×8 = 2880 cubic feet.
2.5L²×8= 2880 cubic feet. Therefore, L²= 2880/(2.5×8)=144. L²=144. L=√144. L=12ft. and breadth= 2.5×Length= 2.5×12ft=30ft.
In a nutshell the first dimension is 12ft, and the second is 30ft.