The exponential growth is:
And its graph is the first one.
The exponential decay is:
And its graph is the second one.
<h3>
How to identify the exponential equations?</h3>
The general exponential equation is of the form:
Where A is the initial value and b is the base.
- If b > 1, then we have an exponential growth.
- if 1 > b > 0, then we have an exponential decay.
Here the two functions are:
As you can see, the base for the first one is smaller than 1, then it is an exponential decay (and it has a decreasing graph, so the graph of this one is the second graph).
For the second function, we have the base b = 1.25, which is larger than 1, so it is an exponential growth, and its graph is an increasing graph, which is the first one.
If you want to learn more about exponential functions:
brainly.com/question/11464095
#SPJ1
(x² + 3x - 1)(2x² - 2x + 1)
x²(2x² - 2x + 1) + 3x(2x² -2x + 1) -1(2x² - 2x + 1)
2x^4 - 2x³ + x² + 6x³ - 6x² + 3x - 2x² + 2x - 1
2x^4 - 2x³ + 6x³ + x² - 6x² - 2x² + 3x + 2x - 1
2x^4 + 4x³ - 7x² + 5x - 1
<span>(D)The result 2x4 + 4x3 − 7x2 + 5x − 1 is a polynomial.</span>
5/12 converted. decimal would be .416666667
Answer:
The length of PQ is <u>18</u> feet.
The length of PR is <u>18</u> feet.
The length of QR is <u>24</u> feet.
Step-by-step explanation:
A way to set an equation up for this problem is:
where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.
Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:
Don’t solve the whole equation, just solve the part of the equation, which is equal to 24. So the final equation is this:
Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).
Sorry for the long explanation.
But hope this helps and answers your question :)
You know, it would really be helpful if we could have a peek at
the picture that's "shown below". Just a peek would be enough.
Right now, the only thing I see below is my dog.
Now ... follow me here ... if you're looking for tan(r), then 'r' is
one of the angles in the triangle, and I'm guessing that all three
of those letters are angles.
tan(r) is going to be the ratio of two of the sides ... I mean
(one side) divided by (another side).
There's no way to go any farther, because you haven't given us
any names for the sides, or any way to describe them.
Betcha the names of the sides are on that picture that's supposed
to be shown below.