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4 years ago

Where are the asymptotesame for the following function located? f (x)=7/x^2-2x-24

1 answer:

3 0

1) given function:

7
---------------
x^2 - 2x - 24

2) Vertical asymptotes are at the values ox x for which the function is not defined. These are the roots of the denominator polynomial.

You can factor the denominator to find those roots:

x^2 - 2x - 24 = 0 = (x - 6)(x + 4) => x = 6 and x = - 4

Therefore, the two vertical asymptotes are x = 6 and x = - 4

3) The function also has one horizontal asymptote:

Lim f(x) when x → +/- ∞ is 0, so y = 0 is also an asymptote.

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The total cost ,c, of renting a Canoe for n hours can be represented by a system of equations. Write the system of equations tha

Brut [27]

Answer: $\left \{ {{c=28} \atop {c=3n+13}} \right.$

Step-by-step explanation:

<h3> The missing data is: " The cost of renting a conoe to use on River Y costs $28. The cost of renting a conoe to use on River Z costs $3 per hour plus a $13 deposit".</h3>

Let's find the first equation.

You know that the cost of renting a conoe to use on River Y costs $28. This is:

$c=28$

To find the second equation you need to remember the Slope-Intercept form of a Linear equation. This is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Since the cost of renting a conoe to use on River Z costs $3 per hour plus a $13 deposit, you can identify that:

$m=3\\b=13$

Therefore, the equation that represents this situation is:

$c=3n+13$

So, the System of equations that could be used to find the total cost "c" of renting a canoe for "n" hours, is:

$\left \{ {{c=28} \atop {c=3n+13}} \right.$

8 0

3 years ago

Multiplying length by width by height gives the volume of a ______ prism.

elena-s [515]

Answer:

The answer is Rectangular

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Please help i will mark brainliest 6th grade math

11111nata11111 [884]

Answer:

64/100 or 64% or 0.64

Step-by-step explanation:

4 0

3 years ago

What is true of a sequence of transformations that rotates an image and then translates it in order to map it onto another image

joja [24]

The true statement about the sequence of transformations is it includes exactly two rigid transformations.

<h3>How to determine the true statement?</h3>

The transformation statement is given as:

a sequence of transformations that rotates an image and then translates it in order to map it onto another image

This can be split as follows:

A sequence of transformations that rotates an image
Then translates it in order to map it onto another image

Translation and rotation are rigid transformations

This means that the size and the angle of the shape that is transformed will remain the same

Hence, the true statement about the sequence of transformations is it includes exactly two rigid transformations.

Read more about transformation at

brainly.com/question/4289712

#SPJ1

4 0

2 years ago

What is the volume of the following triangular prism?

Eva8 [605]

Answer:

$V=150cm^3$

Step-by-step explanation:

First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.

The area of the triangle is given by the formula:

$A_T=\frac{bh}{2}$

where b is the base: $b=4cm$ and h is the height: $h=5cm$

thus, in this case we have:

$A_T=\frac{(4cm)(5cm)}{2}\\ \\A_T=\frac{20cm^2}{2} \\\\A_T=10cm^2$

And now, the volume will be the area of the triangle multiplied by the length $l=15cm$ of the prism:

$V=A_T*l$

Substituting the known values:

$V=10cm^2*15cm\\V=150cm^3$

The volume in cubic centimeters is 150.

4 0

4 years ago