Which equation is equivalent to the equation below?

Mathematics

1 answer:

olasank [31]3 years ago

8 0

The answer you are looking for is the letter i.
5n + 30 = 2n - 2

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WILL GIVE BRAINLIEST

Amanda [17]

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<h3>Answer : y = ⅚x - 3</h3>

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<h3>Known</h3>

x1 = 6

y1 = 2

x2 = (-6)

y2 = (-8)

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<h3>Question</h3>

Equation of the line (y = mx + c)

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#First, you find the gradient (m)

$m = \frac{y2 - y1}{x2 - x1} = \frac{(( - 8) - 2)}{(( - 6) - 6)} = \frac{( - 10)}{( - 12)} = \frac{5}{6}$

#Now use the formula of equation of the line

y - y1 = m(x - x1)

y - 2 = ⅚(x - 6)

y - 2 = ⅚x - 5

y = ⅚x - 5+2

y = ⅚x - 3

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3 0

2 years ago

How to evaluate the limit

anzhelika [568]

$\displaystyle\lim_{x\to2}\frac{x^2-x+6}{x+2}$

Both the numerator and denominator are continuous at $x=2$ , which means the quotient rule for limits applies:

$\dfrac{\displaystyle\lim_{x\to2}(x^2-x+6)}{\displaystyle\lim_{x\to2}(x+2)}=\dfrac{2^2-2+6}{2+2}=\dfrac84=2$

Perhaps you meant to write that $x\to-2$ instead? In that case, you would have

$\displaystyle\lim_{x\to-2}\frac{x^2-x+6}{x+2}=\lim_{x\to-2}\frac{(x+2)(x-3)}{x+2}=\lim_{x\to-2}(x-3)=-2-3=-5$