
The logarithmic expression for the given exponential expression is :

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The rule of the function g (x) will be;
⇒ g (x) = - x + 3
What is mean by Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
g (x) is the indicated transformation of f (x).
The rule of f (x) is,
f (x) = - x + 5 ; horizontally translation 2 units left.
Now,
The rule of f (x) is,
f (x) = - x + 5 ; horizontally translation 2 units left.
Since, g (x) is the indicated transformation of f (x).
So, g (x) = f (x + 2)
Hence, We get;
g (x) = - (x + 2) + 5
= - x - 2 + 5
= - x + 3
Thus, The rule of the function g (x) will be;
⇒ g (x) = - x + 3
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Large cab doors= 12.5x2.5= 31.25in
1feet = 12in
12feet X 12 = 144in board
144 / 31.25 = 4.608
4 large doors can be cut
19in left over
The Pythagorean Theorem is a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse.
From the picture you have a = 10 and c = 15.
Now you have:
10^2 + b^2 = 15^2
Simplify:
100 + b^2 = 225
Subtract 100 from both sides:
b^2 = 125
Take the square root of both sides:
b = √125
b = 11.2