Answer:
B. The functions f(x) and g(x) are reflections over the y-axis.
Step-by-step explanation:
From the information given the table appears as;
x f(x)=2^x g(x)=0.5^x
2 4 0.25
1 2 0.5
0 1 1
-1 0.5 2
-2 0.25 4
Plotting the two graphs to view the trends;
In the graph of f(x)=2^x against x you notice a curve with increasing positive slope.
In the graph of g(x)=0.5^x against x you notice a curve with a negative slope that is increasing.
In combining both graphs you notice that f(x) and g(x) are reflections over the y-axis.
Correct answer is ;The functions f(x) and g(x) are reflections over the y-axis.
Answer:

Step-by-step explanation:
The given polynomial has zeros at:
x=−3, x=−1, and x=1.
This means that:
x+3, x+1, and x-1 are all factors of this polynomial.
The factored form of this polynomial is :

We expand the last two factors using difference of two squares.




This is the standard form because it is now in decreasing powers of x.
Answer:
The patio is a rectangle
Step-by-step explanation:
Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.
Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.
So, the patio is a rectangle.
Answer:
27,824
Step-by-step explanation:
i just calculated it.