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3 years ago

What is the value of x if e^3x+16=8

1 answer:

7 0

$e^{3x}+16=8\ \ \ |-16\\\\e^{3x}=-8\ \ \ FALSE\\\\x\in\O\ \ \ /no\ solution/$

$If\ e^{3x+16}=8\ \ \ \ |\ln\\\\\ln e^{3x+16}=\ln8\\\\(3x+16)\ln e=\ln8\\\\3x+16=\ln8\ \ \ |-16\\\\3x=\ln8-16\ \ \ |:3\\\\x=\dfrac{\ln8-16}{3}$

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Answer? Multiple choice?

pogonyaev

Given fraction is
$f(x) = \frac{x^2 + 4x + 3}{x^2 - 9}$

As we know fraction is not defined where denominator is equal to zero.

So let's find where denominator is zero.

$x^2 - 9 = 0$

We can factorize it as $a^2 - b^2 = (a+b)(a - b)$

So we can write given equation as

$(x+3)(x-3) = 0$

So x = 3 or x = -3.

So function is undefined at x = 3 and x = -3.

So option 3 is correct.

7 0

4 years ago

Read 2 more answers

Hannah sells computers. The amount of her monthly sales for the first half of the year are listed below:

yulyashka [42]

Answer:

Mean = $16,500

Mode = $14,000

Median = $16,000

Step-by-step explanation:

Mean: We add all the numbers together and divide by 6 but this isn't the mean as we have to factor out and get it to the correct number. Therefore we will do the following.

14000+18000+13000+19000+21000+14000 / 6 Cancel the common factors

factor 2 out of everything

2(7000+9000+6500+9500+10500+7000) / 6

we get rid of the 2 and the 6 by factoring them out. so we now get

7000+9000+6500+9500+10500+7000 / 3

Now we add the numbers together and divide by 3

49500 / 3 = $16,500

Mode: This is easy as there is only 1 number that appears more then 1 time and therefore is 14,000

Median = we arrange the numbers from smallest to largest and find the center number. since there are an even number we will take the 2 center numbers and add them together and divide by 2.

13000, 14000, 14000, 18000, 19000, 21000

So we will take 14000 and 18000 and add them together then divide by 2.

14000 + 18000 = 32000/2 = $16,000

3 0

3 years ago

What is the slope of the line that passes through the points (-10, -8) and

Inessa05 [86]

Answer:

-4

Step-by-step explanation:

(x1,y1)=(-10, -8)

(x2,y2)=(-8, -16)

Slope=(y2-y1)/(x2-x1)=(-16+8)/(-8+10)=-8/2=-4

or,

If you take (x1,y1)=(-8, -16), (x2,y2)=(-10, -8)

Slope=(y2-y1)/(x2-x1)=(-8+16)/(-10+8)=8/-2=-4

7 0

3 years ago

Point S is on line segment RT. Given ST=3 and RT=20, determine the length RS.

Svetllana [295]

Answer:

RS = 17

Step-by-step explanation:

Given S lies on RT , then

RS + ST = RT , that is

RS + 3 = 20 ( subtract 3 from both sides )

RS = 17

4 0

3 years ago

Find the mean absolute deviation of the data set {6,9,12,8,10}

marta [7]

Mean absolute deviation of the set is 1.6

6 0

3 years ago