Find the 20th term in the following arithmetic sequence 12,15,18,21,.........

Mathematics

1 answer:

Ede4ka [16]3 years ago

6 0

The answer is 65 if you add on by three

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What are the factors of the expression x^2+x-20?

tatyana61 [14]

Answer:

(x-4)(x+5)

Step-by-step explanation:

Find 2 numbers knowing sum (1) and product (-20). To find them, factor pairs of (-20) --> (-2,10) (-4,5). This sum is 1=b. Then, these 2 numbers are: - 4 and 5. Y=(x-4) (x+5). Hope this helped :)

3 0

3 years ago

Problem #1 -Find the equation of the line with the given slope and containing the given point.

DaniilM [7]

For 1)

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ -7}}\quad ,&{{ 0}})\quad 
% (c,d)

\end{array}
\\\quad \\\\ % slope = m
slope = {{\boxed{ m}}}= \cfrac{rise}{run} \implies 
\implies -\cfrac{3}{5}
\\ \quad \\\\
% point-slope intercept
y-{{ y_1}}={{\boxed{ m}}}(x-{{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form}$

for 2)

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -3}}\quad ,&{{ 17}})\quad 
% (c,d)
&({{ -7}}\quad ,&{{ 37}})
\end{array}
\\\quad \\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}
\\ \quad \\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form}$

then change the y= part to f(x) =

3 0

3 years ago

What fraction is the other race?

dolphi86 [110]

Answer:

Solve for x

Step-by-step explanation:

$\frac{1}{4} + \frac{1}{12} + \frac{2}{9} + x=1$