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PSYCHO15rus [73]
3 years ago
5

12 men working 8 hours a day complete a piece of work in 10 days to complete a the same work in 8 days working 15 hours a days t

he number of men required is
Mathematics
1 answer:
daser333 [38]3 years ago
5 0

12 men : 8 hours : 10 days


// Find if every man works 1 hour

12 x 8 men : 1 hour : 10 days

96 men : 1 hour : 10 days


//Find if every man works 15 hours

96 ÷ 15 men : 15 hours : 10 days

6.4 men : 15 hours : 10 days


//Find if every man works 1 day

6.4 x 10 men : 15 hours : 1 day

64 men : 15 hours : 1 day


//Find if every man works 8 days

64 ÷ 8 men : 15 hours : 8 days

8 men : 15 hours : 8 days


Answer: 8 men is needed

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Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.
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Given:

Consider the given function is:

f(x)=x^2-8x+13

To find:

The average rate of change of the function over the interval -1\leq x\leq 6.

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}

We have,

f(x)=x^2-8x+13

At x=-1,

f(-1)=(-1)^2-8(-1)+13

f(-1)=1+8+13

f(-1)=22

At x=6,

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f(6)=36-48+13

f(6)=1

Now, the average rate of change of the function f(x) over the interval -1\leq x\leq 6 is:

m=\dfrac{f(6)-f(-1)}{6-(-1)}

m=\dfrac{1-22}{7}

m=\dfrac{-21}{7}

m=-3

Therefore, the average rate of change of the function f(x) over the interval -1\leq x\leq 6 is -3.

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Step-by-step explanation:

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Step-by-step explanation:


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