Answer:
75
Step-by-step explanation:
add all of the numbers together and devide by 6.
Answer:
Missing co-ordinate for the ordered pair is 
Y-intercept is 
X-intercept is 
Step-by-step explanation:
The number of a certain company's video stores can be approximated by the linear equation

where
is the number of stores and
represents the number of years after 1990.
To find the missing co-ordinate for the ordered pair solution 
For the ordered pair, we are given the
value which is =7 i.e 7 years after 1990. Thus we will plugin
in the linear equation to get the
value which is number of stores after 7 years from 1990.



Thus the ordered pair is 
To find y-intercept which is the point where the line touches the y-axis, we would plugin
in the equation as the x-coordinate is 0 at y-axis.



Thus y-intercept is at point 
To find x-intercept which is the point where the line touches the x-axis, we would plugin
in the equation as the y-coordinate is 0 at x-axis and thus for 

Subtracting both sides by 4682.


Dividing both sides by -264


∴ 
Thus x-intercept is at point 
By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).
<h3>How to find the inverse of a function</h3>
In this question we have a <em>rational</em> function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:



x · (y + 7) = - 2 · y + 2
x · y + 7 · x = - 2 · y + 2
2 · y + x · y = - 7 · x + 2
y · (2 + x) = - 7 · x + 2

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).
To learn more on inverses: brainly.com/question/7181576
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Answer:
Width - 12ft Length - 30ft
Step-by-step explanation:
Width is 12ft
Length is 30ft
Depth is 6ft
The length, 30ft, is 2.5 times longer than the width which is 12 ft which confirms the two dimensions to be correct.
When you multiply all three of the dimensions of the swimming pool you will get 2940 cubic feet
Answer:
314 ft²
Step-by-step explanation:
Data provided in the question:
Depth (height) of the pool =
of its radius
let the radius be 'r' ft
thus,
Depth (height) of the pool, h =
ft
Volume of the pool = 1570 ft³
also,
Volume of cylinder = πr²h
thus,
1570 ft³ = πr²h
or
1570 ft³ = 
or
3140 = 3.14 × r³ [ π = 3.14 ]
or
r³ = 1000 ft³
or
r = 10 ft
Thus,
Area of the bottom surface = πr²
= 3.14 × 10²
= 314 ft²