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3 years ago

Translate this phrase into an algebraic expression:

Mathematics

1 answer:

krek1111 [17]3 years ago

3 0

Jesus is the lord above all

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Dave rented a limousine for his wife's birthday. The hourly rate is $80. They used the limousine for 4 hours, plus Dave gave the

soldier1979 [14.2K]

He would spend $, he spent $320 for just renting the limousine then spent an extra $32 for the 10% tip

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4 years ago

Find the average value of the function on the given interval. 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

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

By Parts integration formula

$\int(uv)dx=u\int vdx-\int(\frac{du}{dx}\int vdx)dx$

u=ln x and v=dx

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

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

8 0

3 years ago

Combine like terms. y + 3 + 9(y + 5) =

Mnenie [13.5K]

Answer:

The answer is 10y + 48.

Step-by-step explanation:

First you have to get rid of brackets by expanding :

$y + 3 + 9(y + 5) \\ = y + 3 + 9y + 45$

Next you have to collect like-terms :

$y + 3 + 9y + 45 \\ = 10y + 48$

7 0

3 years ago

Read 2 more answers

What expression is equivalent to 14 − 17 ?

DENIUS [597]

answer:

Step-by-step explanation:

4 0

4 years ago

Find the product (x - 10) ( x - 5)

Hatshy [7]

꙰ Hello there mohammedsaquibali45 ! My Name is ⚝Tobie⚝ and I'm glad you asked! Let me walk you step by step in order to comprehend the question better! ꙰

{x}^{2}-5x-10x+50

−5x−10x+50

ii Collect like terms.

{x}^{2}+(-5x-10x)+50

+(−5x−10x)+50

iii Simplify.

{x}^{2}-15x+50

−15x+50

8 0

3 years ago