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Morgarella [4.7K]
3 years ago
5

What is the value of x/2y , when x = 10 and y = 1?

Mathematics
1 answer:
Nataly [62]3 years ago
8 0
I believe it is 5 but i may need someone to double check <span />
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What is limit of f(x) = (x^3-2x^2-9x+4)/(x^2-2x-8) as x approaches 4
sattari [20]
\displaystyle\lim_{x\to4}\frac{x^3-2x^2-9x+4}{x^2-2x-8}

First notice that x^2-2x-8=(x-4)(x+2). If x-4 is not a factor of the numerator, then there is a non-removable discontinuity at x=4, and a removable discontinuity otherwise.

You have 4^3-2\times4^2-9\times4+4=0, which means, by the polynomial remainder theorem, that x-4 is indeed a linear factor of the numerator. Dividing yields a quotient of

\dfrac{x^3-2x^2-9x+4}{x-4}=x^2+2x-1

so the limit is

\displaystyle\lim_{x\to4}\frac{x^2+2x-1}{x+2}=\frac{4^2+2\times4-1}{4+2}=\frac{23}6
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3 years ago
Solve 2^16x=16^2x for x
Ludmilka [50]
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2^(16x)=(2⁴)^(2x)
2^(16x)=2^(4*2x)
2^(16x)=2^(8x)

Therefore:
if a^n=a^m  ⇒n=m

16x=8x
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A line perpendicular to 2x + y = 8 would have slope of
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Answer:

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y = -2x  + 8

to find the slope perpendicular to this you find the reciprocal of -2 which is 1/2

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Step-by-step explanation:

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Artemon [7]

Answer:

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Step-by-step explanation:

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Ratio of boys to girls x:1.15x = 1:1.15 = 20:23\\

\\\\

4 0
2 years ago
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