Can you please help me with this I’ll help you too
Answer:
<span>Robbie: 6
Cameron: 9
Louis: 12
Tom: 15
Charlie</span>: 18
Explanation:
1) Assume that Rachel sold all the cones: 60
2) Call x the amount that Robbie bought and d the constant increase on the purchse.
3) That means that the number of cones bought by each one is:
<span>Robbie: x
Cameron: x + d
Louis: x + d + d = x + 2d
Tom: x + 2d + d = x + 3d
Charlie</span> x + 3d + d = x + 4d
The sum of that is: x + (x + d) + (x + 2d) + (x + 3d) + (x + 4d) = 5x + 10d = 60
5x + 10d = 60 may be simplified by dividing each side by 5 => x + 2d = 12.
Equation (1) x + 2d = 12
4) <span>Robbie and Cameron’s combined total number of scones is three sevenths of the total of Louis, Tom and Charlie
=> x + (x + d) = [3/7] [ (x + 2d) + (x + 3d) + (x + 4d) ]
=> 2x + d = [3/7] (3x + 9d)
=> 7(2x + d) = 3 (3x + 9d)
=> 14x + 7d = 9x + 27d
=> 14x - 9x = 27d - 7d
=> 5x = 10d
=> x = 2d
Equation (2) x = 2d
5) Now you just have to solve this simple system of equations:
x + 2d = 12
x = 2d
Subitituing x for 2d in the first equation: x + x = 12 => 2x = 12 => x = 6
Now replace x = 6 in any of the two equations and you get the value of d.
For example, from x = 2d => d = x / 2 = 6 /2 = 3.
6) Finally, calcualte the number of cones of each:
</span> Result
<span><span>Robbie: x 6
Cameron: x + d 6 + 3 = 9
Louis: x + d + d = x + 2d 9 + 3 = 12
Tom: x + 2d + d = x + 3d 12 + 3 = 15
Charlie</span> x + 3d + d = x + 4d</span> 15 + 3 = 18
-----------------------------------------
Total 6 + 9 + 12 + 15 + 18 = 60
Answer:
44 sq. ft
Step-by-step explanation:
5(2^2) = 20
4(3x2) = 24
20+24 = 44
The inverse function for the given function f(x) = 4x - 2 is x/4 + 2
or, f⁻¹(x) = x/4 + 2
Given function, f(x) = 4x-8
We have to find f⁻¹(x)
f(x) = 4x - 8
or, y = 4x - 8
Interchanging the x variable with y,
x = 4y - 8
Solving y,
x = 4(y - 2)
or, x/4 = y - 2
or, y = x/4 + 2
Now, replacing y with f⁻¹(x), we get;
f⁻¹(x) = x/4 + 2
For verifying, you can use
(f · f⁻¹ )(x) = x
Therefore, the inverse function of f(x) is x/4 + 2.
To learn more about the inverse functions, visit: brainly.com/question/14965513
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