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xxTIMURxx [149]
4 years ago
9

How do I solve the system of equations {Y=x^2+2x} {Y=-x-2}

Mathematics
1 answer:
Minchanka [31]4 years ago
7 0

Graph it on the Ti-84 and use the trace function to find the intersection.

The answer is

(-3,3)

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Jason’s gas tank can hold 12 gallons of gas. His gas tank was empty and he filled it up 2/3 full. He spent $20.16. How much did
natita [175]

Answer:

$2.52 per gallon.

Explanation:

\frac{2}{3}  \times 12 = 8

8c = 20.16

c = 2.52

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3 years ago
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"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo
loris [4]
The exponential distribution is:
\lambda e^{- \lambda x}
where \lambda = \frac{1}{mean}=\frac{1}{5}

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
P(A|B) = \frac{P(A and B)}{P(B)}
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}

Sub into conditional probability formula:

P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
3 0
3 years ago
Please solve 7(b+2) = 49
Inessa05 [86]

Answer: b=5

Step-by-step explanation:

7(b+2)=49

7b + 14= 49

7b = 49-14

7b= 35

b=35/7

b=5

4 0
3 years ago
Read 2 more answers
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