All categories

1 year ago

Which statement is true about the discontinuities of the function f(x)?

Mathematics

2 answers:

DedPeter [7]1 year ago

8 0

Answer:

f(x) = (x + 1)/ (6x^2 - 7x - 3)

= (x + 1)( / (6x^2 + 2x - 9x - 3)

= (x + 1) / (2x(3x + 1) - 3(3x + 1))

= (x + 1) / (2x - 3)(3x + 1)

Now x = 3/2 and x = -1/3 both make te denominator zero so these are both asymptotes.

Read more on Brainly.com - brainly.com/question/15296078#readmore

Step-by-step explanation:

Tema [17]1 year ago

6 0

Answer:

There are asymptotes at x = three-halves and x = negative one-third.

Step-by-step explanation:

f(x) = (x + 1)/ (6x^2 - 7x - 3)

= (x + 1)( / (6x^2 + 2x - 9x - 3)

= (x + 1) / (2x(3x + 1) - 3(3x + 1))

= (x + 1) / (2x - 3)(3x + 1)

Now x = 3/2 and x = -1/3 both make te denominator zero so these are both asymptotes.

You might be interested in

What is the true solution to the logarithmic equation below? log Subscript 4 Baseline left-bracket log Subscript 4 Baseline (2 x

Luda [366]

Step-by-step explanation:

$log_4(log_4 2x)=1 \\ \\ \therefore \: log_4 2x = {4}^{1} \\ \\ \therefore \: log_4 2x =4 \\ \\ \therefore \: 2x = {4}^{4} \\ \\ \therefore \: 2x = 256 \\ \\ \therefore \: x = \frac{256}{2} \\ \\ \therefore \: x = 128$

6 0

2 years ago

Read 2 more answers

A paint shop stocks 1800 liters of paint 24% of the paint is white. The shops sells 18% of the white paint and 7% of the rest of

Anuta_ua [19.1K]

Answer:The amount of paint that was sold altogether is 173.36 litres

Step-by-step explanation:

The total amount of paint that the paint shop stocks is 1800 litres.

24% of the paint is white. It means that the amount of white paint would be

24/100 × 1800 = 0.24 × 1800 = 432 litres.

The amount of the remaining paint other than white would be

1800 - 432 = 1368 litres

The shops sells 18% of the white paint. This means that the amount of white paint sold by the shop will be

18/100 × 432 = 0.18 × 432 = 77.6 litres.

The shops sells 7% of the rest of the paint.

This means that the amount of the rest paint sold by the shop will be

7/100 × 1368 = 0.07 × 1368 = 95.76 litres.

The amount of paint that was sold altogether would be

77.6 + 95.76 = 173.36 litres

5 0

2 years ago

Solve each given equation and show your work the whether each equation has one solution, an infinite number of solutions, or no

Triss [41]

2x+4x-4=2+4x
2x+4x-4x=2+4
2x=6
x=3

25-x=15-3x-10
3x-x= 15-10-25
2x= -20
x= -10

4x=2x+2x+5x-5x
2x+2x+5x-5x-4x
0 . no solution

8 0

1 year ago

Which of the following is the best definition of the domain

GalinKa [24]

Answer:

Step-by-step explanation:

8 0

2 years ago

Jonathons piggy bank contains 20 nickels 30 quarters and 50 one dollar coins. He picks 20 coins from the bank at random

fredd [130]

Answer:

All in all, Jonathan's piggy bank contains 100 coins. Among these coins, only 50 are one-dollar coins. Therefore, the theoretical probability of picking one-dollar coin from the piggy bank is equal to 50/100 or 1/2.

Similarly, from the experiment, 20 coins were picked and among these there are 12 one-dollar coins. The answer to the second question is therefore 12/20 or 3/5.

Step-by-step explanation:

4 0

1 year ago