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sammy [17]
3 years ago
15

Write an explicit formula for an arithmetic sequence whose common difference is -4.5

Mathematics
1 answer:
makvit [3.9K]3 years ago
3 0
If the difference is always -4.5, then it is always -4.5 times something, so that it changes -4.5 ever 1 number.  This means that our equation is y=-4.5x.  From there, we can add any constant, as it will not change the difference.  I will leave that up to you to pick, so the equation is y=-4.5x+C, where C is any real number.

Hope this helps!
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There is probability of 7/8 of not getting yellow.

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balu736 [363]
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4 0
3 years ago
Read 2 more answers
What is 10.465 - (-25.21)
UNO [17]

Answer: 35.675

Step-by-step explanation:

10.465−(−25.21)

The opposite of −25.21 is 25.21.

10.465+25.21

Add 10.465 and 25.21 to get 35.675.

35.675

5 0
2 years ago
Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.
Hitman42 [59]
\bf sin^{-1}(some\ value)=\theta \impliedby \textit{this simply means}
\\\\\\
sin(\theta )=some\ value\qquad \textit{now, also bear in mind that}
\\\\\\
sin(\theta)=\cfrac{opposite}{hypotenuse}\qquad 
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\

\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}
\\\\\\
sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}

\bf \pm \sqrt{5^2-2^2}=a\implies \pm\sqrt{21}=a
\\\\\\
\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\
-------------------------------\\\\
tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(\theta)=\cfrac{2}{\sqrt{21}}
\\\\\\
\textit{and now, let's rationalize the denominator}
\\\\\\
\cfrac{2}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies \cfrac{2\sqrt{21}}{(\sqrt{21})^2}\implies \cfrac{2\sqrt{21}}{21}

7 0
3 years ago
Is the solutipn shown below correct? Explain. 9x+2=8x^2+6x
marin [14]

Answer:

the answer is not correct

there is a sign error under the radical

it should be 3^2 - 4(-8)(2) = sqrt(73) not sqrt(55i)

Step-by-step explanation:

3 0
3 years ago
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