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rusak2 [61]
3 years ago
13

-104=8x what is x ????

Mathematics
2 answers:
love history [14]3 years ago
8 0
-104=8x \\ \\ - \frac{104}{8} = x \ / \ divide \ each \ side \ by \ 8 \\ \\ -13 = x \ / \ simplify \\ \\ x = -13 \ / \ switch \ solution \ around \\ \\

The final result is, x = -13.
-BARSIC- [3]3 years ago
3 0
-104 = 8x. The x is being multiplied by 8, so to undo the multiplication divide both sides of the equal sign by 8. 8x/8 = x and -104/8 = -13 so x = -13.
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3/20 or 15%

Step-by-step explanation:

Out of 1,2,3,4, and 5, there are 3 prime numbers. This makes the odds of selecting one of those prime numbers 3/5. Then, saying that he does pick a prime number and discards that card, there are now four cards, one of them being the number one. His chances of selecting this card is 1/4.

To find the probability you need to multiply the two probabilities together.

3/5 times 1/4 is 3/20.

So your answer is 3/20 or 15%.

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Find all solutions to the equation (x² + 5x + 6)(x² − 3x − 4) = 0.
Soloha48 [4]

Answer:

The solutions are:

x=-2,\:x=-3,\:x=-1,\:x=4

Step-by-step explanation:

To find the solutions to the equation \left(x^2+5x+6\right)\left(x^2-3x-4\right)=0 you need to:

  • Factor \left(x^2+5x+6\right)

Break the expression into groups

x^2+5x+6=\left(x^2+2x\right)+\left(3x+6\right)

Factor out x from (x^2+2x)

x^2+2x=x\left(x+2\right)

Factor out 3 from 3x+6

3x+6=3\left(x+2\right)

x^2+5x+6=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\\\x^2+5x+6=\left(x+2\right)\left(x+3\right)

  • Factor \left(x^2-3x-4\right)

x^2-3x-4=\left(x^2+x\right)+\left(-4x-4\right)\\\\x^2-3x-4=x\left(x+1\right)-4\left(x+1\right)\\\\x^2-3x-4=\left(x+1\right)\left(x-4\right)

Therefore

\left(x^2+5x+6\right)\left(x^2-3x-4\right)=\left(x+2\right)\left(x+3\right)\left(x+1\right)\left(x-4\right)=0

Using the Zero Factor Theorem:

5 0
3 years ago
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