How many solutions does the system have? y=−2x−4 y=3x+3

2 answers:

8 0

One solution, I’m sorry if this is wrong but I remember studying this so I’m hope I’m right!

4 0

Answer:

One Solution

Step-by-step explanation:

First substitute the y in the first equation with the second equation to get

-2x-4=3x+3

since theres a variable of both sides, you subtract the variable with the least coefficient, in this case, you add 2x to both sides to get

-4=5x+3

subtract the constant on both sides to get

-1=5x

divide both sides by 5

x= -0.2 or -1/5

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stich3 [128]

Using probability concepts, it is found that P(S and D) = 0.1275.

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A probability is the <u>number of desired outcomes divided by the number of desired outcomes</u>.
In a standard deck, there are 52 cards.
Of those, 13 are spades, and 13 are diamond.

The probability of selecting a spade with the first card is 13/52. Then, there is a 13/51 probability of selecting a diamond with the second. The same is valid for diamond then space, which means that the probability is multiplied by 2. Thus, the desired probability is:

$P(S \cap D) = 2 \times \frac{13}{52} \times \frac{13}{51} = \frac{2\times 13 \times 13}{52 \times 51} = 0.1275$