The equation to the problem

Mathematics

1 answer:

Margarita [4]3 years ago

8 0

3x+2y=30 okkkkkkkkkkkkkkkkkkkkkkkkk

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How do I solve this

Alina [70]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\displaystyle\sum \limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio} \end{cases} \\\\[-0.35em] ~\dotfill$

$\bf S_{20}=\displaystyle\sum \limits_{n=1}^{\stackrel{\stackrel{n}{\downarrow }}{20}}~\stackrel{\stackrel{a_1}{\downarrow }}{3}(\stackrel{\stackrel{r}{\downarrow }}{1.5})^{n-1}\implies S_{20}=3\left(\cfrac{1-1.5^{20}}{1-1.5} \right)\implies S_{20}=3\left(\cfrac{1-\stackrel{\approx}{3325.3}}{-0.5} \right) \\\\\\ S_{20}=3\left(\cfrac{-3324.3}{-0.5} \right)\implies S_{20}=3(6648.6)\implies S_{20}=19945.8$

8 0

3 years ago

Read 2 more answers

Given the two points (-1,-4) and (2,5): a. Find the slope between these two points

Dvinal [7]

Easy, using $\frac{y1-y2}{x1-x2}$ to find the intercept:

$\frac{-4-5}{-1-2}$ =

$\frac{-9}{-3}$ =3

This is your slope. m=3

To find y=mx+b form

-4=3(-1)+b

-4=-3+b

-1=b

y=3x-1 in y=mx+b form

4 0

3 years ago

Solve for F: C=5/9(F-32)<br> please explain process thanks

timama [110]

$C=\frac{5}{9}(F-32)\ \ \ \ /\cdot\frac{9}{5}\\\\F-32=\frac{9}{5}C\ \ \ \ /+32\\\\F=\frac{9}{5}C+32\\\\F=\frac{9C}{5}+\frac{160}{5}\\\\F=\frac{9C+160}{5}$