Find the scale factor of trapezoid \mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}QRST if it is dilated to \mathrm{Q}^{'} \mathrm{R}^{'
1 answer:
Question:
Find the scale factor of trapezoid if it is dilated to
.
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Answer:
The scale factor is 2
Step-by-step explanation:
Given
See attachment for plots
Required
Determine the scale factor
Using QR and Q'R' as points of reference.
From the attached plot, we have:
The scale factor (k) from to
. is:
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Answer:
Approximately 3 grams left.
Step-by-step explanation:
We will utilize the standard form of an exponential function, given by:
In the case of half-life, our rate <em>r</em> will be 1/2. This is because 1/2 or 50% will be left after <em>t </em>half-lives.
Our initial amount <em>a </em>is 185 grams.
So, by substitution, we have:
Where <em>f(t)</em> denotes the amount of grams left after <em>t</em> half-lives.
We want to find the amount left after 6 half-lives. Therefore, <em>t </em>= 6. Then using our function, we acquire:
Evaluate:
So, after six half-lives, there will be approximately 3 grams left.
Answer:
B
Step-by-step explanation:
The end behavior of a function is how the graph behaves as it approaches negative and positive infinity.
Let's take a look at each end.
As x approaches negative infinity:
As x approaches the left towards negative infinity, we can see that the graph is shooting straight upwards.
Therefore, as , our function f(x) is increasing and increasing up towards positive infinity.
Therefore, the end behavior at the left will be:
As x approaches (positive) infinity:
As x approaches the right towards positive infinity, we can see the that graph is also shooting straight upwards.
Therefore, the end behavior will be exactly the same. As x approaches positive infinity, f(x) <em>also</em> approaches positive infinity.
Therefore, the end behavior at the right will be:
Therefore, our answer is B.