Examen De Diagnóstico De Matemáticas Para Ingreso A LA Universidad

1. Si entonces =? a) b) c) d) e)

a

b

c

d

e

not-available-via-ai

Explanation

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2. Un número n se aumenta en 8. Si la raíz cúbica de ese resultado es igual a -0.5. ¿Cuál es el valor de n?

-15.625

-8.794

-8.125

-7.875

421.875

The question states that a number n is increased by 8. Then, the cube root of that result is equal to -0.5. To find the value of n, we need to reverse the operations. First, we need to cube -0.5, which gives us -0.125. Then, we need to subtract 8 from -0.125, resulting in -8.125. Therefore, the value of n is -8.125.

Explanation

The question states that a number n is increased by 8. Then, the cube root of that result is equal to -0.5. To find the value of n, we need to reverse the operations. First, we need to cube -0.5, which gives us -0.125. Then, we need to subtract 8 from -0.125, resulting in -8.125. Therefore, the value of n is -8.125.

3. Si entonces: a) x 1 b) x c) d) x 2 e) x

a

b

c

d

e

The given options are a series of variables, with each option representing a different value for the variable "x". The correct answer is "e", which means that the value of "x" is not specified or unknown.

Explanation

The given options are a series of variables, with each option representing a different value for the variable "x". The correct answer is "e", which means that the value of "x" is not specified or unknown.

4. El conjunto solución de la desigualdad es: a) b) c) d)

a

b

c

d

The given question does not provide any information about the inequality or the variables involved. Therefore, it is not possible to determine the solution set of the inequality.

Explanation

The given question does not provide any information about the inequality or the variables involved. Therefore, it is not possible to determine the solution set of the inequality.

5. Para todo número real x a) x+2 b)x-2 c) 2-x d) e)

a

b

c

d

e

not-available-via-ai

Explanation

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6. 2+2=4 2+2+4=8 2+2+4+8=16 2+2+4+8+16=32 De acuero con el patròn anterior la suma a) b) c) d) e)

a

b

c

d

e

The pattern in the given sequence is that each term is obtained by adding the previous term to the sum of all the previous terms. In other words, each term is the sum of all the terms that came before it. In this case, the first term is 2, the second term is 2+2=4, the third term is 2+2+4=8, and so on. Therefore, the next term in the sequence would be obtained by adding the previous term (16) to the sum of all the previous terms (2+2+4+8+16=32), resulting in the next term being 32. Hence, the correct answer is c.

Explanation

The pattern in the given sequence is that each term is obtained by adding the previous term to the sum of all the previous terms. In other words, each term is the sum of all the terms that came before it. In this case, the first term is 2, the second term is 2+2=4, the third term is 2+2+4=8, and so on. Therefore, the next term in the sequence would be obtained by adding the previous term (16) to the sum of all the previous terms (2+2+4+8+16=32), resulting in the next term being 32. Hence, the correct answer is c.

7. La solución de es: a) b) c) d) ó e)

a

b

c

d

e

not-available-via-ai

Explanation

not-available-via-ai

8. La pendiente de la recta definida por la ecuación 2x-3y=6 es:

-3

-1.5

-0.666..

0.666...

2

The correct answer is 0.666... because the equation of the line is in the form y = mx + b, where m is the slope of the line. By rearranging the equation 2x - 3y = 6, we can isolate y and rewrite it as y = (2/3)x - 2. The coefficient of x, which is 2/3, represents the slope of the line. Therefore, the slope of the line is 0.666..., which is the same as 2/3.

Explanation

The correct answer is 0.666... because the equation of the line is in the form y = mx + b, where m is the slope of the line. By rearranging the equation 2x - 3y = 6, we can isolate y and rewrite it as y = (2/3)x - 2. The coefficient of x, which is 2/3, represents the slope of the line. Therefore, the slope of the line is 0.666..., which is the same as 2/3.