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djverab [1.8K]
3 years ago
8

Solve for U -8u = - 16/3

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
4 0

Answer:

u = 2/3

Step-by-step explanation:

Simply divide both sides by -8:

u = (-16/3)/-8

If you don't have a calc, use KCF:

u = (-16/3)(-1/8)

u = 16/24

u = 2/3

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Step-by-step explanation:

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Identify the functions that are continuous on the set of real numbers and arrange them in ascending order of their limits as x t
Studentka2010 [4]

Answer:

g(x)<j(x)<k(x)<f(x)<m(x)<h(x)

Step-by-step explanation:

1.f(x)=\frac{x^2+x-20}{x^2+4}

The denominator of f is defined for all real values of x

Therefore, the function is continuous on the set of real numbers

\lim_{x\rightarrow 5}\frac{x^2+x-20}{x^2+4}=\frac{25+5-20}{25+4}=\frac{10}{29}=0.345

3.h(x)=\frac{3x-5}{x^2-5x+7}

x^2-5x+7=0

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Therefore, it has no real values for which it is not defined .

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\lim_{x\rightarrow 5}\frac{3x-5}{x^2-5x+7}=\frac{15-5}{25-25+7}=\frac{10}{7}=1.43

2.g(x)=\frac{x-17}{x^2+75}

The denominator of g is defined for all real values of x.

Therefore, the function g is continuous on the set of real numbers

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4.i(x)=\frac{x^2-9}{x-9}

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The function i is not defined for x=9

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The denominator of j is defined for all real values of x.

Therefore, the function j is continuous on the set of real numbers.

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x^2+x+29=0

It cannot be factorize .

Therefore, it has no real values for which it is not defined .

Hence, function k is defined for all real values.

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7.l(x)=\frac{5x-1}{x^2-9x+8}

x^2-9x+8=0

x^2-8x-x+8=0

x(x-8)-1(x-8)=0

(x-8)(x-1)=0

x=8,1

The function is not defined for x=8 and x=1

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The denominator of m is defined for all real values of x.

Therefore, the function m is continuous on the set of real numbers.

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Since n < 30 and population standard deviation is unknown

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