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3 years ago

What is the approximate solution to this equation? 19 + 2lnx=25

Mathematics

2 answers:

daser333 [38]3 years ago

4 0

First of all, let us start by doing simple changes:

19+2lnx=252lnx=25−92nx=6----------------------->>>>> we applied simple side by side manipulations, now we will do the division by 2 in both the sides, it will end up this:

lnx=3--------------->>>>>> now we will use the inverse of ln, which is eelnx=e3x=e3 ----->>> now you should use a calculator or the problem may have this as solution depending on the assignment guidelines.

Maurinko [17]3 years ago

3 0

Answer:

20.086

Step-by-step explanation:

Solve for x by isolating it. First subtract 25 by 19. Next, divide by 2. Finally, multiply by by base e. Use a calculator to estimate.

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Find the average rate of change of f ( x ) = 3 x 2 − 9 on the interval [ 2 , b ] . Your answer will be an expression involving b

iVinArrow [24]

Answer:

$m = 3b+6$

Step-by-step explanation:

Given

$f(x)=3x^2 - 9$

Required

The average rate over $[2,b]$

Average rate (m) is calculated using:

$m = \frac{f(b) - f(a)}{b - a}$

Where

$[a,b] = [2,b]$

So, we have:

$m = \frac{f(b) - f(2)}{b - 2}$

Calculate f(b) and f(2)

$f(x)=3x^2 - 9$

$f(b)=3b^2 - 9$

$f(2)=3*2^2 - 9 = 12 - 9 = 3$

So, we have:

$m = \frac{f(b) - f(2)}{b - 2}$

$m = \frac{3b^2 - 9 - 3}{b - 2}$

$m = \frac{3b^2 - 12}{b - 2}$

Expand the numerator

$m = \frac{3b^2 + 6b-6b-12}{b - 2}$

Factorize

$m = \frac{b(3b + 6)-2(3b+6)}{b - 2}$

Factor out 3b + 6

$m = \frac{(b -2)(3b+6)}{b - 2}$

Cancel out b - 2

$m = 3b+6$

4 0

3 years ago

The parallelogram shown below has an area of 727272 units^2 2 squared. Find the missing height.

ivolga24 [154]

Answer:

12 units

Step-by-step explanation:

Allow me to revise your questions for a better understanding and I hope it will fit the original one.

7 0

3 years ago

What is the world from of the number 602,107?

Aliun [14]

Six hundred two thousand one hundred seven.

Hope this helps!

Step-by-step explanation:

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As a sales person at scrapbooks and treasures Alyssa receives a monthly base pay plus commission on all that she sells she sells

max2010maxim [7]

Let
x = base pay per month
y = commission per $1 of sales

Then the monthly pay for selling $100 of merchandise is
P = x + 100y

In one month, Alyssa earned $388 for selling $400 worth of merchandise.
Therefore
x + 400y = 388 (1)

In another month, she earned $520 for selling $1000 worth of merchandise.
Therefore
x + 1000y = 520 (2)

Subtract (1) from (2).
x + 1000y - (x + 400y) = 520 - 388
600y = 132
y = 0.22
From (1), obtain
x = 388 - 400y = 388 - 400*0.22 = 300

When Alyssa sells $3300 worth of merchandise, she earns
300 +0.22*3300 = $1026

Answer: $1026

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4 years ago

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ollegr [7]

Answer:

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4 years ago

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