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madam [21]
2 years ago
15

What is the solution to the following equation? 3(x-4)-5= x-3

Mathematics
1 answer:
finlep [7]2 years ago
3 0

Answer:

<h2>x = 7</h2>

Step-by-step explanation:

3(x-4)-5=x-3\qquad\text{use the distributive property}\\3x-12-5=x-3\\3x-17=x-3\qquad\text{add 17 to both sides}\\3x-17+17=x-3+17\\3x=x+14\qquad\text{subtract}\ x\ \text{from both sides}\\3x-x=x-x+14\\2x=14\qquad\text{divide both sides by 2}\\\dfrac{2x}{2}=\dfrac{14}{2}\\\\x=7

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A triangle has side lengths of 7.1, 12.6, and b. Which of the following CANNOT be b? (A) 5.7 (B) 7.5 (C) 10.1 (D) 18.5 (E) 19.9
GuDViN [60]

-- When the 7.1 and 12.6 sides both point in exactly the same direction,
their open ends are 5.5 apart.  So the missing side must be greater than 5.5 . 
All of the choices are greater than 5.5 , so we haven't found it yet.

-- When the 7.1 and 12.6 point in opposite directions, their open ends are
19.7 apart.  So the missing side can't be greater than 19.7, otherwise the
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8 0
3 years ago
What three numbers have a range of 10 and a mean of 13
serious [3.7K]

16,17,6

16-6 is 10 (range)

16+17+6=39

39/3 is 13. (mean)

7 0
3 years ago
Which of the following represents a weak positive correlation?a. -0.9b. 0c. +0.2d. +0.9
svetoff [14.1K]

Answer:

Option C) +0.2

Step-by-step explanation:

We are given the following information in the question:

Correlation:

  • Correlation is a technique that help us to find or define a relationship between two variables.
  • It is a measure of linear relationship between two quantities.
  • A positive correlation means that an increase in one quantity leads to an increase in another quantity
  • A negative correlation means with increase in one quantity the other quantity decreases.
  • +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
  • Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.
  • Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.

Thus, a weak positive correlation is given by correlation coefficient of Option C) +0.2

3 0
3 years ago
Someone help please ://////
GarryVolchara [31]

Answer:

+/- 1.5

Step-by-step explanation:

3 0
2 years ago
Examine the following diagram:
Tanya [424]

Answer:

b

Step-by-step explanation:

i just took it on edge

5 0
3 years ago
Read 2 more answers
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