75/3 = 25
so you would take the miles and divide it by the time since you know the time, and you would get the miles per mile.
The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2
<u>Solution:</u>
Given that line is passing through point (-5, 2) and (3, r)
Slope of the line is ![\frac{-1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7D)
Need to determine value of r.
Slope of a line passing through point
is given by following formula:
--- eqn 1
![\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}](https://tex.z-dn.net/?f=%5Ctext%20%7B%20In%20our%20case%20%7D%20x_%7B1%7D%3D-5%2C%20y_%7B1%7D%3D2%2C%20x_%7B2%7D%3D3%2C%20y_%7B2%7D%3D%5Cmathrm%7Br%7D%20%5Ctext%20%7B%20and%20%7D%20m%3D-%5Cfrac%7B1%7D%7B2%7D)
On substituting the given value in (1) we get
![\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B-%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7Br-2%7D%7B3-%28-5%29%7D%7D%20%5C%5C%5C%5C%20%7B%5Ctext%20%7B%20Solving%20the%20above%20expression%20to%20get%20value%20of%20%7D%20r%7D%20%5C%5C%5C%5C%20%7B%3D%3E-%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7Br-2%7D%7B3%2B5%7D%7D%20%5C%5C%5C%5C%20%7B%3D%3E-8%3D%5Cfrac%7Br-2%7D%7B3%2B5%7D%7D%20%5C%5C%5C%5C%20%7B%3D%3E-8%3D2%28r-2%29%7D%20%5C%5C%5C%5C%20%7B%3D%3E-8%3D2%20r-4%7D%20%5C%5C%5C%5C%20%7B%3D%3E2%20r%3D-8%2B4%7D%20%5C%5C%5C%5C%20%7B%3D%3E2%20r%3D-4%7D%20%5C%5C%5C%5C%20%7B%3D%3Er%3D%5Cfrac%7B-4%7D%7B2%7D%3D-2%7D%5Cend%7Barray%7D)
Hence the value of "r" is -2
find the area first then add 22 and 5
Answer:
![\begin{aligned}\bullet\ &f(1)=800;f(n)=f(n-1)+900, \text{for $n\ge 2$}\\ \bullet\ & f(n)=900n-100\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cbullet%5C%20%26f%281%29%3D800%3Bf%28n%29%3Df%28n-1%29%2B900%2C%20%5Ctext%7Bfor%20%24n%5Cge%202%24%7D%5C%5C%20%5Cbullet%5C%20%26%20f%28n%29%3D900n-100%5Cend%7Baligned%7D)
Step-by-step explanation:
See attachment for the figure.
Using arithmetic sequence with a first term of 800 and a common difference of 900. The general form for such a sequence is given by,
an = a1 +d(n -1)
an = 800 +900(n -1) = 900n -100
If n is the function, this can be written as,
f(n) = 900n -100
When considered as a recursive relation, we find the first term is still 800:
f(1) = 800
and that each term is 900 more than the previous one:
f(n) = f(n-1) +900 . . . . for n ≥ 2
You need to consider that huge numbers of the different answer decisions are debasements of either of these structures, so you should look at them cautiously.