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sergij07 [2.7K]
2 years ago
9

Solve the inequality. Help appreciated

Mathematics
1 answer:
Ivan2 years ago
6 0

Answer:

See below.

Step-by-step explanation:

6x-2≤9

   +2 +2

6x≤11

/6   /6

x≤11/6

4+3x>15

-4      -4

3x>11

/3   /3

x>11/3

-hope it helps

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What is the following quotient? 5/√11-√3
kati45 [8]

ANSWER

\frac{5( \sqrt{11}  +  \sqrt{3} )} {8}

EXPLANATION

The given rational function is

\frac{5}{ \sqrt{11} -  \sqrt{3}}

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

\sqrt{11}  -  \sqrt{3}

which is

\sqrt{11}   +  \sqrt{3}

When we rationalize we obtain:

\frac{5( \sqrt{11}  +  \sqrt{3} )}{(\sqrt{11}  - \sqrt{3} )( \sqrt{11}  +  \sqrt{3} )}

The denominator is now a difference of two squares:

(a - b)(a + b) =  {a}^{2}  -  {b}^{2}

We apply this property to get

\frac{5( \sqrt{11}  +  \sqrt{3} )}{( \sqrt{11}) ^{2}    -  ( \sqrt{3}) ^{2}  )}

\frac{5( \sqrt{11}  +  \sqrt{3} )}{11   -  3}

This simplifies to

\frac{5( \sqrt{11}  +  \sqrt{3} )} {8}

Or

\frac{5 }  {8}\sqrt{11}  + \frac{5 }  {8}\sqrt{3}

8 0
3 years ago
Read 2 more answers
1 point
Reika [66]

Answer: 2x-y=15

Step-by-step explanation: can u be more detailin

3 0
2 years ago
Pls help ASAP!!! will do brainliest
amm1812

Answer:

1a

2b

3a

4c

5c

6c

7a

8d

9b

10b

11a

12c

13b

14a

15a

Step-by-step explanation:

5 0
3 years ago
What can you predict regarding the probability of the
natka813 [3]

Answer:

The frequency does not change with more trials

Step-by-step explanation:

To predict: the probability of the coin landing heads up

Solution:

Probability refers to the chances that an event will occur in an experiment. The value of probability lies between 0 and 1. 0 indicates impossible event and 1 indicates a sure event. The probability of an event can not be greater than 1.

When a coin is tossed, there are two possible outcomes: heads (H), tails (T).

In case of the probability of the coin landing heads up, the frequency does not change with more trials.

6 0
3 years ago
Read 2 more answers
The life of light bulbs is distributed normally. the standard deviation of the lifetime is 25 hours and the mean lifetime of a b
Dominik [7]
The probability is 0.8997.

We will use a z-score to answer this question.  z-scores are given by the formula
z=\frac{X-\mu}{\sigma}

With our information, we have
z=\frac{622-590}{25}=\frac{32}{25}=1.28

Looking this up in a z-table (http://www.z-table.com) we see that the area to the left of this (everything less than, up to this value) is 0.8997.
4 0
3 years ago
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