Answer:
=
Step-by-step explanation:
Answer:
x^2+5x-14
Step-by-step explanation:
you multiply both equations so that you get:
x^2-2x+7x-14
and then you simplify it to:
x^2+5x-14
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Answer:
A. The first one
Step-by-step explanation:
Because it has a negative slope and if you follow the line you can tell it has a slope of -1/4.
Answer:
Approximately 3 grams left.
Step-by-step explanation:
We will utilize the standard form of an exponential function, given by:
![f(t)=a(r)^t](https://tex.z-dn.net/?f=f%28t%29%3Da%28r%29%5Et)
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:
![\displaystyle f(t)=185\big(\frac{1}{2}\big)^t](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28t%29%3D185%5Cbig%28%5Cfrac%7B1%7D%7B2%7D%5Cbig%29%5Et)
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:
![\displaystyle f(6)=185\big(\frac{1}{2}\big)^6](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%286%29%3D185%5Cbig%28%5Cfrac%7B1%7D%7B2%7D%5Cbig%29%5E6)
Evaluate:
![\displaystyle f(6)=185\big(\frac{1}{64}\big)\approx2.89\approx 3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%286%29%3D185%5Cbig%28%5Cfrac%7B1%7D%7B64%7D%5Cbig%29%5Capprox2.89%5Capprox%203)
So, after six half-lives, there will be approximately 3 grams left.
Answer:
See below.
Step-by-step explanation:
If it is a regular polygon then you can look up the formula or break it into shapes you do know the formula.
If it is irregular or a composite figure, break it into regular polygons which do have formulas to find the area. Here is an example:
Example:
Find the area of the composite figure by splitting the figure into two shapes - two rectangles.
One rectangle is 2 x 9 = 18.
The other rectangle is 2 x 4 = 8.
Together the area is 18 + 8 = 26.