3 years ago

Help mein this question

Mathematics

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kolbaska11 [484]3 years ago

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hello

Step-by-step explanation:

paano nga Ito???

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given the arithemtic or geometric sequence, identify f(0) and the common difference ratio f(x) = 4-2/3x

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Answer:

Required value of f(0) = 4 and common difference of given sequence is $\frac{-2}{3}$

Solution:

Given sequence rule for arithmetic sequence is $\mathrm{f}(\mathrm{x})=4-\left(\frac{2}{3}\right) x$

We need to determine f(0) and common difference

Calculating f(0).

Substituting x = 0 in given sequence rule we get

$\begin{array}{l}{f(0)=4-\left(\frac{2}{3}\right) 0} \\ {=4-0=4}\end{array}$

Calculating common difference

Let’s first calculate f(1) and f(2).

Substituting x = 1 in given sequence rule

$\begin{array}{l}{\mathrm{f}(1)=4-\left(\frac{2}{3}\right) 1} \\ {=4-\left(\frac{2}{3}\right)=\frac{10}{3}}\end{array}$

$\mathrm{f}(2)=4-\left(\frac{2}{3}\right) 2=4-\left(\frac{4}{3}\right)=\frac{8}{3}$

Common Difference can be found by subtracting f(1) from f(2)

$\text { Common difference }=\mathrm{f}(2)-\mathrm{f}(1)=\left(\frac{8}{3}\right)-\left(\frac{10}{3}\right)=\frac{-2}{3}$

Hence required value of f(0) = 4 and common difference of given sequence is $\frac{-2}{3}$

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2 years ago

Solve for x <img src="https://tex.z-dn.net/?f=4x%20-%2016%20%3D%200" id="TexFormula1" title="4x - 16 = 0" alt="4x - 16 = 0"

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Get x by itself
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Its alternate interior angle

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