All categories

4 years ago

Which expressions describe the end behavior of the graph.

Mathematics

1 answer:

Savatey [412]4 years ago

3 0

As x increases,f(x) approaches the line y=-2

You might be interested in

Given the point (3,4) the slope of 6, find y, when x=27

vitfil [10]

Answer:

y = 148

Step-by-step explanation:

First, we use the point-slope form of the equation of a line to find the equation of this line.

y - y1 = m(x - x1)

y - 4 = 6(x - 3)

y - 4 = 6x - 18

y = 6x - 14

Now we let x = 27 and find y.

y = 6(27) - 14

y = 162 - 14

y = 148

6 0

3 years ago

*PLEASE ANSWER ASAP* What is the total volume of the cube below?

Paladinen [302]

Answer:

V = 125 cu.

Step-by-step explanation:

Since volume = L x W x H -->

Plug the numbers in --> 5 x 5 x 5 (5 cubed) -->

25 x 5 = 125

Thus, the total volume of this cube is 125 cu.

Hope this helps!

7 0

3 years ago

Read 2 more answers

Find the integral <br> ∫√(9+x)/(9-x)

densk [106]

I suppose you mean

$\displaystyle \int \frac{\sqrt{9+x}}{9-x} \, dx$

Substitute y = √(9 + x). Solving for x gives x = y² - 9, so that 9 - x = 18 - y², and we have differential dx = 2y dy. Replacing everything in the integral gives

$\displaystyle \int \frac{2y^2}{18 - y^2} \, dy$

Simplify the integrand by dividing:

$\dfrac{2y^2}{18 - y^2} = -2 + \dfrac{36}{18 - y^2}$

$\implies \displaystyle \int \left(\frac{36}{18-y^2} - 2\right) \, dy$

For the first term of this new integral, we have the partial fraction expansion

$\dfrac1{18 - y^2} = \dfrac1{\sqrt{72}} \left(\dfrac1{\sqrt{18}-y} + \dfrac1{\sqrt{18}+y}\right)$

$\implies \displaystyle \frac{36}{\sqrt{72}} \int \left(\frac1{\sqrt{18}-y} + \frac1{\sqrt{18}+y}\right) \, dy - 2 \int dy$

The rest is trivial:

$\displaystyle \sqrt{18} \int \left(\frac1{\sqrt{18}-y} + \frac1{\sqrt{18}+y}\right) \, dy - 2 \int dy$

$= \displaystyle \sqrt{18} \left(\ln\left|\sqrt{18}+y\right| - \ln\left|\sqrt{18}-y\right|\right) - 2y + C$

$= \displaystyle \sqrt{18} \ln\left|\frac{\sqrt{18}+y}{\sqrt{18}-y}\right| - 2y + C$

$= \boxed{\displaystyle \sqrt{18} \ln\left|\frac{\sqrt{18}+\sqrt{9+x}}{\sqrt{18}-\sqrt{9+x}}\right| - 2\sqrt{9+x} + C}$

6 0

2 years ago

You know.<br> The assignment of basketball players to a jersey number.

kotegsom [21]

Answer:

is this a question i can help with?

3 0

3 years ago

The actual length of side t is 0.045 cm. Use the scale drawing to find the actual side length of w.

Nataly_w [17]

Answer:

Actual length of w is 0.075 units.

Step-by-step explanation:

Given the actual length of side t is 0.045 cm.

we have to use the scale drawing to find the actual side length of w.

As given the actual length of t is 0.045 cm.

Hence, we can find the scale factor using the lengths of t i.e actual length and after scale drawing by dividing.

Scale factor is $\frac{0.9}{0.045}=20$

Hence, we get the scale factor.

Now, $scale factor=\frac{\text{length in figure}}{\text{actual length}}$

⇒ $20=\frac{1.5}{\text{actual length}}$

⇒ Actual length of w is $\frac{1.5}{20}=0.075units$

Option B is correct.

8 0

3 years ago

Read 2 more answers

Which expressions describe the end behavior of the graph.​

Which expressions describe the end behavior of the graph.