2 years ago

Estimate a 15% tip for a $26.40 restaurant bill

Mathematics

1 answer:

olchik [2.2K]2 years ago

7 0

Answer:

$4.00

Step-by-step explanation:

because 15% of 26.40 is 3.96 which is closest to $4.00

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Find the average value of the function on the given interval.<br> f(x)=2 ln x; [1,e]

JulijaS [17]

Answer:

$f_{avg}=\frac{1}{e-1}$

Step-by-step explanation:

We are given that a function

$f(x)=2lnx$

We have to find the average value of function on the given interval [1,e]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{e-1}\int_{1}^{e}lnx dx$

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Apply by parts integration

$f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))$

$f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})$

$f_{avg}=\frac{1}{e-1}(e-0-e+1)=\frac{1}{e-1}$

By using property lne=1,ln 1=0

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Answer:

c(x-3)-4=b(x+7)
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x(b-c)=-3c-7b-4
x(b-c)/b-c = -3c-7b-4/b-c

x=-3c+7b+4/b-c

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3 years ago