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ad-work [718]
2 years ago
12

Which expression has the least value when x=100?A.1/x b.10/x c.1-x D 10-x​

Mathematics
2 answers:
Jet001 [13]2 years ago
5 0

Answer:

c) 1 - x

Step-by-step explanation:

x = 100

a) \frac{1}{x} ⇒ \frac{1}{100}

answer ⇒ 0.01

b) \frac{10}{x} ⇒ \frac{10}{100}

answer ⇒ 0.10

c) 1 - x ⇒ 1 - 100

answer ⇒ -99

d) 10 - x ⇒ 10 - 100

answer ⇒ -90

trapecia [35]2 years ago
4 0

Answer:

C

Step-by-step explanation:

C will have the least value with -99.

A would be 1/100, which is 0.01, which is small, but larger than -99.

B would be 10/100, which is 0.1, which is larger than A.

C is 1-100, which equals -99.

D is 10-100, which equals -90. -99 is smaller than -90.

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\bf \begin{array}{ccll}
n&term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1&a_1&a_1\\
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&&36a_1
\end{array}\implies \stackrel{\textit{3rd term is 24}}{36a_1=24}
\\\\\\
a_1=\cfrac{24}{36}\implies  a_1=\cfrac{2}{3}

\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=6\\
a_1=\frac{2}{3}
\end{cases}
\\\\\\
\boxed{a_n=\cfrac{2}{3}\cdot 6^{n-1}}
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Step-by-step explanation:

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Step-by-step explanation:

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