<span>We have 2 given numbers:
=> 86 + 68 + 38 = 192
=> 68 + 38 + 86 = 192 also
This kind of process used commutative property system of equation in where:
a + b = b + a
No matter what sequence you are going to use, the answer would always be the
same.
In the given 2 equations, notice that both digits of 2 group of equation
contains the same number. The only difference is they were added with different
orders. Yet the answers are still the same.
</span>
It was 210 cm.
The function she used is h(t) = 210 + 33t. This is a linear function, since it is of the form f(x) = mx+b. In a linear function, we have the slope, m, which tells us how much the height increases per year, and the y-intercept, b, which tells us how tall it was when we began measuring. Our m value would be 33 and our b would be 210, so the original height was 210.
Given:
The two functions are:
To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If , the function f(x) is horizontally stretched by factor .
If , the function f(x) is horizontally compressed by factor .
We have,
Using these functions, we get
...(ii)
On comparing (i) and (ii), we get
Since , the function f(x) is horizontally stretched by factor .
Hence, the correct option is D.