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jolli1 [7]
3 years ago
9

Write an equation of the line that passes through (-5, -2) and is parallel to y = 2/3x+1

Mathematics
1 answer:
rewona [7]3 years ago
6 0

Answer:

Step-by-step explanation:

Ok, so the slope has to be the same because it’s parallel.

y=2/3x+1

slope=2/3

y=-2

x=-5

y=2/3x+ what

-2=-3 1/3 + what

1 1/3

hence, y=2/3x+4/3

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Can someone be so freaking awesome and help me out with the correct answer please :( !?!?!?!?!???!!! 30 points!!!
Sindrei [870]

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we know all it's doing is adding 6 over again to each term to get the next one, so then

\bf \stackrel{\textit{Recursive Formula}}{\stackrel{\textit{nth term}}{f(n)}~~=~~\stackrel{\textit{the term before it}}{f(n-1)}~~~~\stackrel{\textit{plus 6}}{+~~~~6}}

now for the explicit one

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=7\\ d=6 \end{cases} \\\\\\ a_n=7+(n-1)6\implies a_n=7+6n-6\implies \stackrel{\textit{Explicit Formula}}{\stackrel{f(n)}{a_n}=6n+1} \\\\\\ therefore\qquad \qquad f(10)=6(10)+1\implies f(10)=61

3 0
3 years ago
Write -2x^2 (-5x^2 + 4x^3) in standard form
saul85 [17]
-2x·-2x·(-5x·-5x+4x·4x·4x) Basically, you write out the number depending on the exponent. So if you have a power/exponent of 3, you write it out multiplied by itself 3 times. Hope this helps!
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A plane traveled from California and back. It took one hour longer on the way out than it did on the way back. The plane's avera
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garik1379 [7]

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Step-by-step explanation:

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2 years ago
For which value of a does Limit of g(x) as x approaches alpha not exist?​
Hunter-Best [27]

The value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

<h3>Limit of a function</h3>

The limit of a function is the limit of a function as x tends to a value.

From the given graph, you can see that the function g(x) goes large at the point where the arrows orange and purple point down from the x-coordinates -1 and 1.

Hence the value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

Learn more on limit of a function here: brainly.com/question/23935467

#SPJ1

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2 years ago
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