Answer:
Step-by-step explanation:
Let the length of rectangle A be x units.
So, length of rectangle B
= x + 25% of x
= x + 0.25x
= 1.25x
Let the width of rectangle A be y units
So, Width of rectangle B
Area of rectangle A = xy
Area of rectangle B
= 1.25x * 0.6y
= 0.75xy

Answer:
They are not commutative, because f(g(x)) and g(f(x) are not equal.
Step-by-step explanation:
In order for the composition of the functions to be commutative, we must have ...
f(g(x)) ≡ g(f(x))
for all values of x.
Here, we have f(g(x)) = 1 and g(f(x)) = 2. f(g(x)) and g(f(x)) are not equal, so the composition of the functions is not commutative.
You want to break this down.
“5 less than” means you’ll subtract 5 from something.
That something is “3 times a number.” “3 times a number” means 3•x or 3x, since we’ll use x for that unknown number.
So, “5 less than 3 times a number” means “subtract 5 from 3x”: 3x-5
“Is” means “equals”. So 3x-5= something.
7, well, that’s 7.
So “5 less than 3 times a number is 7” means ”subtract 5 from 3x and set that equal to 7.”
3x-5=7
Divide actual distance by the distance of the scale miles
39 miles / 13 miles = 3
Multiply that by the scale inches:
2 inches x 3 = 6 inches.
The answer is 6 inches.