Answer:
Graph B shows function f of x equals 4 multiplied by 3 to the power of negative x.
Step-by-step explanation:
is the value 4 times three raised to the negative x. Graph B is the best representation.
Answer:
,
, and 0.54
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If you add one to both of the sides of the first rectangle you will get the second rectangles numbers which makes it similar.

On top: (-2)³ = -2 × -2 × -2 = -8
(x²)³ = x^6 (the exponents multiply)
and of course, (y)³ = y³
On the bottom: (xy²z)² = x² y^4 z²
(-yz)² = y²z²
Multiplying these together, the exponents add and we get x² y^6 z^4.

So, your reasoning is correct for what you have so far.
Your next step would be cancelling shared factors from the top and bottom.
Just like with regular fractions, if the numerator and denominator are divisible by the same number, you can divide them by it to simplify. (ex: 4/6 = 2/3)
Well, x^6 and x^2 are both divisible by x^2, right?
We can also cancel the y^3.
It might help to visualise the factors like this:

Once you've cancelled out x² and y³ from each, you're left with
1.
In any trapezoid, the length of the midsegment is

substituting the known values:



2.
Notice that since D and have the same y-coordinate, then DE is horizontal, and since F and D have the same x-coordinate, FD is vertical.
Thus FD and DE are perpendicular, so the triangle FED is a right triangle.
The median drawn from the right angle, is equal to half the hypotenuse.
That is, |DO|=1/2 |FE|, thus |OE|=|OF|=|OD|, are all radii of the circle centered at O.
O is the midpoint of EF, and is found by the Midpoint formula:

Answer:
1. 14
2. (4, 3)