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Rom4ik [11]
3 years ago
11

Solve the system -0.18x + y = -6.54 -2.8x - y = -2.4

Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0
ADDING THE 2 EQUATIONS TO ELIMINATE Y WE HAVE

-2.98x = -8.94
x = 3

Plug x=3 into first equation:-
-0.18(3) + y = -6.54
y =  -6.54 +0.54 =  -6

answer x= 3 and y= -6.



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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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<u>Answer: </u>

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

<u>Solution: </u>

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}

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\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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Your question: Which equation has solution x = -3?

I'd like you to know: I couldn't find any answer that exactly answered X=-3, although there is an answer similar to. But if it was accidental, this would be the most <em>correct </em>answer.

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|Step-by-step explanation|

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