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3 years ago

(-1,-9) (8,-7) find the slope of the line through pair of points

Mathematics

1 answer:

Mariana [72]3 years ago

8 0

Answer:

the slope of line is m=2/9

Step-by-step explanation:

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Which logarithmic equation is equivalent to the exponential equation below? E^a=60

Gala2k [10]

Answer:

Step-by-step explanation:

e is the base of the natural log system.

take the natural log of both sides.

ln(e^a) = ln(60) The power can come down

a ln(e) = ln(60) The natural log of e = 1

a * 1 = ln (60)

a = ln(60)

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3 years ago

Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)

zhenek [66]

ANSWER

The vertical asymptotes are

$\Rightarrow x=2\:or\:x=-1$

<u>EXPLANATION</u>

We have

$f(x)=\frac{x^2+4}{4x^2-4x-8}$

For vertical asymptotes we set the denominator to zero and solve the quadratic equation;

$4x^2-4x-8=0$

$\Rightarrow x^2-x-2=0$

We split the middle term to obtain,

$x^2+x-2x-2=0$

$\Rightarrow x(x+1)-2(x+1)=0$

$\Rightarrow (x-2)(x+1)=0$

$\Rightarrow x=2\:or\:x=-1$

Therefore the vertical asymptotes are

$x=2\:or\:x=-1$

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3 years ago

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If f(x) = 5x + 4, which of the following is the inverse of (fx)?

lys-0071 [83]

Answer:

see explanation

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 5x + 4 ( subtract 4 from both sides )

y - 4 = 5x ( divide both sides by 5 )

$\frac{y-4}{5}$ = x

Change y back into terms of x

$f^{-1}$ (x) = $\frac{x-4}{5}$

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The amount of money, b, is $140.

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(-1,-9) (8,-7) find the slope of the line through pair of points​

(-1,-9) (8,-7) find the slope of the line through pair of points