Find the measure of angle J

<img src="https://tex.z-dn.net/?f=Y%3D%5Cfrac%7B-2%7D%7Bx%7D%2B4" id="TexFormula1" title="Y=\frac{-2}{x}+4" alt="Y=\frac{-2}{x}+

Studentka2010 [4]

Part A: Vertical asymptote is $x=0$

Part B: Domain is $\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)$

Part C: Horizontal asymptote is $y=4$

Part D: Range is $\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

Explanation:

Part A: We need to determine the vertical asymptote

The vertical asymptote of a function can be determined by equating the denominator equal to zero.

Thus, we have,

$x=0$

Hence, the vertical asymptote is $x=0$

Part B: We need to determine the domain

The domain of the function is the set of all independent x - values for which the function is real and well defined.

Let us take the denominator and equate to zero.

Hence, we have, $x=0$

Therefore, the function is undefined at the point $x=0$

Thus, the domain of the function is $\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)$

Part C: We need to determine the horizontal asymptote

The horizontal asymptote of the function can be determined by dividing the leading coefficient of the numerator by leading coefficient of the denominator.

Thus, we have, $y=4$

Hence, the horizontal asymptote of the function is $y=4$

Part D: We need to determine the range

The range of the function is the set of all dependent y -values of the function.

In other words, the range of the function can be determined by substituting the values for x.

Thus, we have,

$\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

Therefore, the range of the function is $\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

6 0

3 years ago

Write the slope-intercept form of the equation for the line

Andrej [43]

Answer:

y=3x-1

Step-by-step explanation:

start at (-1,-4) and go up 6 and over 2, thats your slope or m.

the y intercept is -1

4 0

3 years ago

Read 2 more answers

A ball is thrown from initial height of 2 feet with an initial upward velocity of 35 ft./s. The ball's height H (in feet) after

vodka [1.7K]

So if the height is going to be 20ft, that means 20 = 2+35t-16t²

$\bf 20=2+35t-16t^2\implies 16t^2-35t+18=0
\\\\\\
\textit{now, it doesn't factor in integers, thus}
\\\\\\
 \textit{quadratic formula}\\\\
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}\implies t=\cfrac{-(-35)\pm\sqrt{(-35)^2-4(16)(18)}}{2(16)}
\\\\\\
t=\cfrac{35\pm\sqrt{73}}{32}\implies t\approx
\begin{cases}
1.361\\
0.828
\end{cases}$

8 0

3 years ago

Read 2 more answers

Find the lowest number divisible by 15, 20 & 25.

algol13

Answer:

300.

Step-by-step explanation:

This is the LCM.

15 = 3 * 5

20 = 2 * 2 * 5

25 = 5 * 5

One 5 appears in all 3 factors so we only use this once in the calculation:

LCM = 2 * 2 * 3 * 5* 5 = 300

6 0

4 years ago

Please help. I'll give brainliest :)

Reil [10]

Answer:

You should say the number of inches that the cities are apart in the maps

Then i will help you in the comment

4 0

3 years ago