2 years ago

Evaluate the expression when, m=-2 m²-6m-5 (Thank you for your help!)

Mathematics

1 answer:

Darina [25.2K]2 years ago

7 0

Answer:

Step-by-step explanation:

$m=-2\\m^2-6m-5\\=(-2)^2-6(-2)-5\\=4-(-12)-5\\=4+12-5\\=16-5\\=11$

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3 years ago

What is the 6th term of the geometric sequence where a1 = -4096 and a4 = 64?

Akimi4 [234]

$\bf \begin{array}{llccll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_1&-4096\\
a_2&-4096r\\
a_3&-4096rr\\
a_4&-4096rrr\\
&-4096r^3\\
&64
\end{array}\implies -4096r^3=64
\\\\\\
r^3=\cfrac{64}{-4096}\implies r^3=-\cfrac{1}{64}\implies r=\sqrt[3]{-\cfrac{1}{64}}
\\\\\\
r=\cfrac{\sqrt[3]{-1}}{\sqrt[3]{64}}\implies \boxed{r=\cfrac{-1}{4}}\\\\
-------------------------------$

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-\frac{1}{4}\\
a_1=-4096\\
n=6
\end{cases}
\\\\\\
a_6=-4096\left( -\frac{1}{4} \right)^{6-1}\implies a_6=-4^6\left( -\frac{1}{4} \right)^5$

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3 years ago

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Which is the answer for -1/3y + 4 = 3

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2/1

Step-by-step explanation:

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y=_1+3/1

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3 years ago

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Summaation of a sequence

or see a smaller scale
from 1 to 10
notice
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2+9=11
etc
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so

1 to 100
1+100=101
2+99=101
...
50+51=101

100/2=50
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50 times 101=5050

the sum is 5050

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3 years ago

What is the constant of variation for this relationship?

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3 years ago

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