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kenny6666 [7]
2 years ago
8

Help me I’ll give you five stars

Mathematics
2 answers:
vlabodo [156]2 years ago
7 0

Answer:

\frac{1}{9}

Step-by-step explanation:

Note the bar above 1 means 1 is repeating , that is

0.111..

We require 2 equations with the repeating digit placed after the decimal point

let x = 0.111.... (1) Multiply both sides by 10

10x = 1.111... (2)

Subtract (1) from (2) thus eliminating the repeating digit

9x = 1 ( divide both sides by 9 )

x = \frac{1}{9}

anastassius [24]2 years ago
4 0

Answer:

that was the great answer its 1/10

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Find the linear approximation of the function g(x) = 3 root 1 + x at a = 0. g(x). Use it to approximate the numbers 3 root 0.95
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Answer:

L(x)=1+\dfrac{1}{3}x

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Step-by-step explanation:

Given the function: g(x)=\sqrt[3]{1+x}

We are to determine the linear approximation of the function g(x) at a = 0.

Linear Approximating Polynomial,L(x)=f(a)+f'(a)(x-a)

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Therefore:

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L(-0.05)=1+\dfrac{1}{3}(-0.05)=0.9833

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(c)

(b)\sqrt[3]{1.1}= \sqrt[3]{1+0.1}

When x = 0.1

L(1.1)=1+\dfrac{1}{3}(0.1)=1.0333

\sqrt[3]{1.1} \approx 1.0333

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Step-by-step explanation:

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