Answer: x= 3
Step-by-step explanation:
2x + 5 = 11
2x = 6
x = 3
F(x) = 4x - 9
let f(x) = y, this implies that x = f⁻¹(y)
y = 4x - 9 Let us solve for x.
4x - 9 = y
4x = y + 9
x = (y + 9)/4
Recall that x = f⁻¹(y),
x = (y + 9)/4
f⁻¹(y) = (y + 9)/4
That means that for f⁻¹(x)
f⁻¹(x) = (x + 9)/4
Hope this explains it.
Answer:
<h2> abolute measure </h2>
- it is quantity measured and same unit data and also as an original data it's is an original data expressed and unit of series
<h2>range </h2>
- largest value difference to smallest value in data
<h2>Quartiles </h2>
- it is an semi and half of range
<h2>mean </h2>
- also as arithmetic mean as more deviation of range
Answrer
Find out the what is the perimeter of the rectangle .
To prove
Now as shown in the figure.
Name the coordinates as.
A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .
In rectangle opposite sides are equal.
Thus
AB = DC
AD = BC
Formula

Now the points A(−3, 4) and B(7, 2)





Thus

Now the points
A (−3, 4) , D (−4, −1)




Thus
Formula
Perimeter of rectangle = 2 (Length + Breadth)
Here






Perimeter of a rectangle = 30.6 units.
Therefore the perimeter of a rectangle is 30.6 units.
Answer:



Step-by-step explanation:
Given




Required
The dimension that minimizes the cost
The volume is:

This gives:

Substitute 


Make H the subject


The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:

The cost is:



Substitute:
and 



To minimize the cost, we differentiate

Then set to 0


Rewrite as:

Divide both sides by W

Rewrite as:

Solve for 


Take cube roots

Recall that:







Hence, the dimension that minimizes the cost is:


