All categories

4 years ago

Graph the function f(x) = x2 + 5x − 6 / x + 1 showing all the key features.

Mathematics

1 answer:

Vedmedyk [2.9K]4 years ago

7 0

Answer:

the attached image shows the graph for given equation.

Step-by-step explanation:

We are given the following equation in the question:

$f(x) = x^2 + 5x - \displaystyle\frac{6}{x} + 1$

The attached image shows the graph for the given equation.

We could plot this graph by finding the coordinated for different values of x.

Vertical asymptotes:

$x = 0$

There are no horizontal asymptotes.

Some points on graph are:

(-3,-3), (-2,-2), (-1,3), (1,1), (2,12), (3,23)

You might be interested in

Find the radius of a circle with a diameter of 14 cm

neonofarm [45]

Answer :-

R= 7

Explanation:-

The diameter is 2 times the radius

So the radius is 14/2 =7

5 0

4 years ago

Read 2 more answers

Use the Pythagorean Theorem to find the missing length and then round the

kifflom [539]

Answer:

13.03

Step-by-step explanation:

7 x 7 = 49

11 x 11 = 121

121 + 49 = 170

The square root of 170 is 13.03

Hope this helped!

(And maybe give me brainliest?)

Have a great day!

5 0

3 years ago

Read 2 more answers

Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are al

sergeinik [125]

You can maybe enter your question on google if you dont get any answers

8 0

3 years ago

What is the height of an equilateral triangle if the sides are 10

4vir4ik [10]

Answer:

The height of the equilateral triangle is $5\sqrt{3}\ units$

Step-by-step explanation:

we know that

An equilateral triangle has three congruent sides, and three congruent angles that each measure 60 degrees

To find out the height of an equilateral triangle, apply the Pythagoras Theorem in the right triangle ABD

Remember that the height of an equilateral triangle bisects the base.

see the attached figure to better understand the problem

$AB^2=AD^2+BD^2$

substitute the given values

$10^2=5^2+BD^2$

Solve for BD

$100=25+BD^2$

$BD^2=100-25$

$BD^2=75$

$BD=\sqrt{75}\ units$

simplify

$BD=5\sqrt{3}\ units$ `

therefore

The height of the equilateral triangle is $5\sqrt{3}\ units$

7 0

4 years ago

Use the distance formula to find the distance between the points given.

masha68 [24]

The distance between the points is $4\sqrt{13}$

Step-by-step explanation:

The formula of the distance between two points $(x_{1},y_{1})$ and

$(x_{2},y_{2})$ is $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

To find the distance between two point:

Put one of the two point as $(x_{1},y_{1})$
Put the other point as $(x_{2},y_{2})$
Substitute then in the rule of the distance and calculate the distance

∵ The two points are (18 , -2) and (6 , -10)

- Put (18 , -2) as $(x_{1},y_{1})$ and (6 , -10) as $(x_{2},y_{2})$

∴ $x_{1}$ = 18 and $x_{2}$ = 6

∴ $y_{1}$ = -2 and $y_{2}$ = -10

- Substitute them in the rule below

∵ $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

∴ $d=\sqrt{(6-18)^{2}+(-10--2)^{2}}$

∴ $d=\sqrt{(-12)^{2}+(-10+2)^{2}}$

∴ $d=\sqrt{(-12)^{2}+(-8)^{2}}$

∵ (-12)² = 144 and (-8)² = 64

∴ $d=\sqrt{144+64}$

∴ $d=\sqrt{208}$

∵ $\sqrt{208}=4\sqrt{13}$

∴ $d=4\sqrt{13}$

The distance between the points is $4\sqrt{13}$

Learn more:

You can learn more about the distance between two points in brainly.com/question/3969582

#LearnwithBrainly

5 0

4 years ago