First combine like terms:
6n-2n = 4n
7n-2=4n
subtract 7n from both sides
7n-2=4n
-7n -7n
-2=-3n
divide -2 on both sides.
n=1.5
Answer:
circle area = 400*d^2
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have total 1200 wildflowers in first year that is first term a is 1200
We have to find sigma notation showing the infinite growth of the wildflowers.
![wildflowers=\sum_{i=1}^{\infty }1200(\frac{1}{4})^{i-1}](https://tex.z-dn.net/?f=wildflowers%3D%5Csum_%7Bi%3D1%7D%5E%7B%5Cinfty%20%7D1200%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7Bi-1%7D)
Formula for infinite sum of GP is ![S_{\infty}=\frac{a}{1-r}](https://tex.z-dn.net/?f=S_%7B%5Cinfty%7D%3D%5Cfrac%7Ba%7D%7B1-r%7D)
Here, ![a=1200,r=\frac{1}{4}](https://tex.z-dn.net/?f=a%3D1200%2Cr%3D%5Cfrac%7B1%7D%7B4%7D)
On substituting the values in the formula of sum we get:
![S_{\infty}=\frac{1200}{1-\frac{1}{4}}](https://tex.z-dn.net/?f=S_%7B%5Cinfty%7D%3D%5Cfrac%7B1200%7D%7B1-%5Cfrac%7B1%7D%7B4%7D%7D)
On simplification we get:
![S_{\infty}=\frac{1200}{\frac{3}{4}}=1600](https://tex.z-dn.net/?f=S_%7B%5Cinfty%7D%3D%5Cfrac%7B1200%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%3D1600)
Therefore, total sum of wildflowers 1600.
The key features of the above given functions are correctly matched to their corresponding definition.
<h3>Definition of terms</h3>
- Negative sections of the graph: They are the parts where the graph is below the x-axis. That is option C.
- End behaviour: This is what happens to the graph on the far left or far right. That is option E.
- Positive sections of the graph: This is the parts where the graph is above the x-axis. That is option D.
- Intercepts: This is the points where the graph crosses an axis. That is option B
- Relative extrema: This is the points of relative minimum or maximum in a graph. That is option A.
Learn more about graphs here:
brainly.com/question/25799000
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