¿Cuale son los numero reales?

Mathematics

1 answer:

jarptica [38.1K]3 years ago

8 0

Answer:

The real numbers are any number that corresponds to a point on the line Real and can be classified into numbers natural, whole, rational and irrational. In other words, any real number is between minus infinity and plus infinity and we can represent it on the real line .

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Graphs and equations of lines

dmitriy555 [2]

Answer:

a) $y = -\frac{3}{4} x + 5$

b) $y = 6x-18$

c) $y = \frac{4}{5} x+\frac{19}{5}$

Step-by-step explanation:

a) The slope / gradient is the coefficient of $x$ , so for a) it will be $y=-\frac{3}{4} x + C$ .

C is the y-intercept, so the full equation will be $y = -\frac{3}{4} x + 5$ .

b) Again, since the slope is 6, we know the coefficient of $x$ will be 6.

Now, we have a point on the line and so far, we know the equation is $y=6x+c$ . The coordinates of the point are (2,-6). So now we substitute the y and x values into the equation in order to find C.

$-6 = 6(2)+C$

$-6 = 12+C$

$C = -18$

$y = 6x-18$

c) To find the gradient we must use the formula $\frac{rise}{run}$ .

rise = change in y value

run = change in x value

so, the gradient $= \frac{7-3}{4-(-1)} = \frac{4}{5}$

Now the equation is $y = \frac{4}{5} x +C$

Again, to find C we substitute any of the coordinates into the equation. I will use (-1,3).

$3 = \frac{4}{5} (-1) +C$

$3 + \frac{4}{5} =C$

$C =\frac{19}{5}$

so c) is $y = \frac{4}{5} x+\frac{19}{5}$

6 0

3 years ago

Urn A has balls numbered 1 through 6. Urn B has balls numbered 1 through 4. What is the probability that a 4 is drawn from A fol

oksian1 [2.3K]

Drawing the tree diagram of the problem, we see that there are 6 branches for drawing from Urn A, and then 4 branches for each of the 6 branches, for drawing from Urn B.

This means that there are 6*4=24 possible outcomes, which could be listed as
{(1, 1), (1, 2), (1, 3), (1, 4), (2, 1)... (6, 3), (6, 4)},

where the first coordinates represent drawing from urn A, and the second coordinates, drawing from urn B.

(4, 2) is one of these 24, so the probability is 1/24

remark, this problem could also have been solved by the multiplication principle of the probabilities of separate events, that is 1/6 (probability of drawing 4 from Urn A) times 1/4 (probability of drawing 2 from B) = 1/24

Answer: 1/24