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3 years ago

What are the discontinuities of the function f(x) = x^2+2x-24/6x+24?

Mathematics

1 answer:

JulsSmile [24]3 years ago

5 0

Answer:

a vertical asymptote at x=-4

Step-by-step explanation:

$f(x)=\dfrac{x^2+2x-24}{6x+24}=\dfrac{(x+6)(x-4)}{6(x+4)}$

The binomial denominator factor is not canceled by a numerator factor, so represents a vertical asymptote at x=-4. That is the only discontinuity

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Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…

sammy [17]

The sum of the first five terms is 11/2

<h3>How to determine the sum?</h3>

The series is given as:

1/2, -1,2,-4…

Calculate the common ratio of the series using

r = -4/2

Evaluate

r = -2

The sum is then calculated as:

$S_n = a\frac{1 - r^n}{1 - r}$

This gives

$S_n = \frac{1}{2} * \frac{(1 - (-2)^5}{1 + 2}$

Evaluate

$S_n = \frac{1}{2} * \frac{33)}{3}$

Evaluate

$S_n =\frac{11}{2}$

Hence, the sum of the first five terms is 11/2

Read more about series at:

brainly.com/question/11346378

#SPJ1

7 0

1 year ago

Can someone help me with this please? :)))

Natali5045456 [20]

Answer:

Step-by-step explanation:

86 is 98% of 87.755102040816 which rounded to the nearest whole number is 88.

7 0

2 years ago

Read 2 more answers

What is the square root of 500

noname [10]

500 is not a perfect square number. Therefore, find the factors of 500 with the largest perfect square. In this case, 100 is the largest perfect square number in 500.
$500= \sqrt{500} ^2$

$\sqrt{500}=\sqrt{100*5}$

$\sqrt{500}=\sqrt{100}\sqrt{5}$

$\sqrt{500}=10\sqrt{5}$

If you are simply looking for the calculator result, you will get $22.36$

6 0

2 years ago

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I need help can someone give me answers

marishachu [46]

Answer:

Step-by-step explanation:6 type

5/25=1/5=20%

1-1/5=4/5=80%

7 0

2 years ago

Can you plz help with this?