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11Alexandr11 [23.1K]
3 years ago
14

Which value satisfies the inequality 5x + 7 ≤ 8x - 3 + 2x?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0
5x + 7 < = 8x - 3 + 2x
5x + 7 < = 10x - 3
7 + 3 < = 10x - 5x
10 < = 5x
10/5 < = x
2 < = x...or x > = 2
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Find the slope of the line (4,5),(-3,-1)
koban [17]

Step-by-step explanation:

{ \rm{slope =  \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\

• y2 → -1

• y1 → 5

• x1 → 4

• x2 → -3

{ \tt{slope =  \frac{ - 1 - 5}{ - 3 - 4} }} \\  \\ { \tt{slope =  \frac{ - 6}{ - 7} }} \\  \\ { \boxed{ \tt{ \: slope =  \frac{6}{7} }}}

8 0
2 years ago
The video club to which Lin belongs allows her to receive one free DVD for every three DVDS she rents. If she pays $3 for each D
Nesterboy [21]

Answer:

12

Step-by-step explanation:

Given:

On every 3 DVDs she rents, 1 DVD is received for free

Rent of each DVD = $3

Total amount paid = $114

Now,

The total number of DVDs she took on rent = \frac{\textup{Total amount paid}}{\textup{Rent of each DVD}}

or

The total number of DVDs she took on rent = \frac{\textup{114}}{\textup{3}}

or

The total number of DVDs she took on rent = 38

also,

For every 3 DVDs she gets 1 Free DVD

thus,

For every 1 DVD she gets \frac{\textup{1}}{\textup{3}} free DVD

therefore,

For  38 DVD she gets \frac{\textup{38}}{\textup{3}} free DVD

or

she gets 12.67 DVDs free

Since,

the DVDs cannot be given in fraction

Hence she will get 12 free DVDs

5 0
3 years ago
Find the matching statement?
Nesterboy [21]
1. F
2. C
3. B
4. A
5. D
6. E
8 0
3 years ago
"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
Are all functions linear or exponential? Or does it go like, “all linear or exponentials are functions”?
Alex_Xolod [135]
The second one is correct
3 0
3 years ago
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