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Sergio [31]
3 years ago
10

Determine the vertical asymptote for the rational function f(x) = x - 4 over 2x - 3

Mathematics
1 answer:
k0ka [10]3 years ago
5 0

Answer:

x = \frac{3}{2}

Step-by-step explanation:

Given

f(x) = \frac{x-4}{2x-3}

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

Thus x = \frac{3}{2} is the vertical asymptote

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Dos cuadrados de lado
Kaylis [27]

La franja amarilla del rectángulo tiene un área de 30 centímetros cuadrados.

<h3>¿Cuál es el área de la franja amarilla del rectángulo?</h3>

En este problema tenemos un rectángulo formado por dos cuadrados que se traslapan uno al otro. La franja amarilla es el área en la que los cuadrados se traslapan. La anchura del rectángulo es descrita por la siguiente ecuación:

(10 - x) + 2 · x = 17

Donde x se mide en centímetros.

A continuación, despejamos x en la ecuación descrita:

10 + x = 17

x = 7

Ahora, el área de la franja amarilla se determina mediante la fórmula de area de un rectángulo:

A = b · h

Donde:

  • b - Base del rectángulo, en centímetros.
  • h - Altura del rectángulo, en centímetros.
  • A - Área del rectángulo, en centímetros cuadrados.

A = (10 - 7) · 10

A = 3 · 10

A = 30

El área de la franja amarilla del rectángulo es igual a 30 centímetros cuadrados.

Para aprender más sobre áreas de rectángulos: brainly.com/question/23058403

#SPJ1

8 0
1 year ago
PLEASE ANSWER
Natasha2012 [34]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I don't really understand how to do this if you could help please help asap, thank you
neonofarm [45]

Answer:

C

Step-by-step explanation:

Just use elimination strategy

5 0
2 years ago
I am thinking of a number, let's call it x . If I increase twice my number by 5, the result is the same as if I triple my number
Mrrafil [7]

Answer: 6

Step-by-step explanation:

Let the number be x

If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:

(2 × x) + 5 = (3 × x) - 1

2x + 5 = 3x - 1

5 + 1 = 3x - 2x

x = 6

The number you are thinking of is 6

4 0
3 years ago
10. On a Math test, there are 60 questions. Juanita answered 50 questions correctly. A) What percent did she answer incorrectly?
Travka [436]

Answer:

83.3

Step-by-step explanation:

4 0
3 years ago
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