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Fittoniya [83]
2 years ago
9

Brainliest to correct answer

Mathematics
2 answers:
aksik [14]2 years ago
4 0

Answer:

No, zack will finish first.

Step-by-step explanation:

I would rather not write it out but zack should finish first

Digiron [165]2 years ago
3 0

Answer:

Zack can finish the 215 page book after 5 total hours of reading but Pam cannot.

Step-by-step explanation:

Pam read 126 pages of her summer reading book in 3 hours.

Zack read 180 pages of his summer reading book in 4 hours.

Number of pages Pam read in 5 hours = 5 x 42 = 210 pages

Number of pages Zack read in 5 hours = 5 x 45 = 225 pages

We need to find will they both finish the 215 page book after 5 total hours of reading,

Here number of pages read by Zack is greater than 215 and number of pages read by Pam is less than 215.

So Zack can finish the 215 page book after 5 total hours of reading but Pam cannot.

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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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not a function

Step-by-step explanation:

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