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Darya [45]
3 years ago
6

Solve the inequality: 4k-(5+3k)>2

Mathematics
2 answers:
Elanso [62]3 years ago
5 0

Answer:

k > 7

Step-by-step explanation:

Given the inequality statement:  4k - (5 + 3k) > 2

Distribute -1 into (5 + 3k):

4k -5 - 3k > 2

Next,  add like terms:

k - 5 > 2

Add 5 to both sides of the inequality:

k - 5 + 5 > 2 + 5

k > 7

Please mark my answers as the Brainliest if you find my explanations helpful :)

Alik [6]3 years ago
4 0

Answer:

k>7

Step-by-step explanation:

4k-\left(5+3k\right)>2

-\left(5+3k\right)

-5-3k

4k-5-3k

4k-3k=k

k-5

k-5>2

Add 5 to both sides

k-5+5>2+5

k>7

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What is the slope of the line that passes through the points (-3, -9)(−3,−9) and (22, -4) ?(22,−4)? Write your answer in simples
bezimeni [28]

Answer:

1/5

Step-by-step explanation:

Equation: \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

Points: (-3, -9) and (22, -4)

y_{2} is the second y point that shows up on the question, basically go by order. So it's -4

y_{1} is -9, because again, in order of which coordinates pop-up first in the question

x_{2} is 22, x_{1} is -3

Now input into the equation, to make it easier we'll split the fraction into 2 equations:

\frac{y_{2} - y_{1}}{x_{2} - x_{1}} = y_{2} - y_{1} and x_{2} - x_{1}, we'll put them back in a fraction later

y_{2} - y_{1} = -4 - (-9) = -4 + 9 = 5

x_{2} - x_{1} = 22 - (-3) = 22 + 3 = 25

now put it in the fraction, remember y on top x on the bottom:

5/25, simplify, 1/5

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3 years ago
How to write a decimal number in two hundred ten thousand, fifty and nineteen hundredth
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The correct answer is 210,050.19
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A study involved measuring the average IQ of Americans. What does the Central Limit Theorem say about the study? As long as the
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Answer:

As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

So the correct answer is:

As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.

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