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3 years ago

11

A contractor completed five-ninths of a job before a second contractor completed an additional one-third. What fraction of the j

ob is left undone?

1 answer:

Firlakuza [10]3 years ago

8 0

I'd say that your answer would be 4/6=2/3 of the job is incomplete.

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5(x + 1) = 4(x + 8)

Reika [66]

<span>5(x + 1) = 4(x + 8)
Use distributive property
5x+5=4x+32
Subtract 4x from both sides
x+5=32
Subtract 5 from both sides
Final Answer: x=27</span>

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2 years ago

Read 2 more answers

At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]

denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

$f(x) = x^3-2x^2-4x+1$ in the interval [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

$f(1) = 1-2-4+1 = -4\\f(0) = 1$

The value

$\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5$

Find derivative for f

$f'(x) = 3x^2-4x-4$

Equate this to -5 to check mean value theorem

$3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1$

We find that 1/3 lies inside the interval (0,1)

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3 years ago