Let's take a look at D:
<span>D) y = (x-1)^2 - 16 Compare this to
y = (x-h)^2 + k This is the std. equation of a parabola in vertex form.
You can see, by comparison, that h=1 and k= -16; these are the coordinates of the vertex, clearly shown in the diagram.
Since the coefficient of (x-h)^2 is +1, the graph opens upward (which the given graph confirms), and is neither compressed nor stretched vertically.</span>
Answer:
Step-by-step explanation:
We want to simplify:
We need to apply the exponential property for products of powers.
Recall that:
We apply this rule to get:
This simplifies to:
We rewrite as positive index to get:
0.3 is 3/10, (which is already simplified) because .3 is out of 1. Which means that that 1 is 10. Which is 3/10.
Answer:
The amount of interest payable after 6 months is $28.
Step-by-step explanation:
Here, the Principal amount borrowed = $400
Rate of Interest = 14%
Time = 6 months = 6 / 12 years = 0.5 year
Now, SIMPLE INTEREST = 
So, here SI = 
or, SI = $28
Hence, the amount of interest payable after 6 months is $28.
9514 1404 393
Answer:
3
Step-by-step explanation:
The gradient is the ratio of "rise" to "run". Here, it appears the line crosses the y-axis at y = -1. It appears that it also crosses the grid intersection at (1, 2). This represents a "rise" (change in y) of (2 -(-1)) = 3, for a "run" (change in x) of (1 -0) = 1. Then the gradient is ...
m = rise/run = 3/1 = 3
The gradient of the graph is 3.
