Hello,

$\lim_{x \to \infty} \dfrac{1-e^x}{1+2e^x}\\

= \lim_{x \to \infty} \dfrac{ \dfrac{1-e^x}{e^x}}{ \dfrac{1+2e^x}{e^x}}\\

= \lim_{x \to \infty} \dfrac{ \dfrac{1}{e^x}-1}{\dfrac{1}{e^x}+2}\\

 = \dfrac{0-1}{0+2} =- \dfrac{1}{2}$

5 0

3 years ago

A bedroom has a length of x + 6 feet and a width of x feet. Find the area of the bedroom, y, when x = 12.

Juliette [100K]

The answer is 216 because (12 + 6) x (12)

8 0

3 years ago

Read 2 more answers

choose the point-slope form and f the equation below that represents the line through the point (6,-3) and has a slope of 1/2

AveGali [126]

Answer:

The point-slope form of this equation would be y + 3 = 1/2(x - 6)

Step-by-step explanation:

In order to find this, start with the base form of point-slope form.

y - y1 = m(x - x1)

Now input the slope for m and the point for (x1, y1)

y - -3 = 1/2(x - 6)

y + 3 = 1/2(x - 6)

6 0

3 years ago

Read 2 more answers

You notice that when you study for a test more, you get better grades. What does this illustrate?

xxTIMURxx [149]

Answer:

Causation

Step-by-step explanation:

Studying better prepares you for a test, getting you better grades.

8 0

2 years ago