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Arisa [49]
2 years ago
14

How many solutions exist for the given equation?

Mathematics
1 answer:
NemiM [27]2 years ago
5 0

Answer:

Zero

Step-by-step explanation:

Simplifying

12x + 1 = 3(4x + 1) + -2

Reorder the terms:

1 + 12x = 3(4x + 1) + -2

Reorder the terms:

1 + 12x = 3(1 + 4x) + -2

1 + 12x = (1 * 3 + 4x * 3) + -2

1 + 12x = (3 + 12x) + -2

Reorder the terms:

1 + 12x = 3 + -2 + 12x

Combine like terms: 3 + -2 = 1

1 + 12x = 1 + 12x

Add '-1' to each side of the equation.

1 + -1 + 12x = 1 + -1 + 12x

Combine like terms: 1 + -1 = 0

0 + 12x = 1 + -1 + 12x

12x = 1 + -1 + 12x

Combine like terms: 1 + -1 = 0

12x = 0 + 12x

12x = 12x

Add '-12x' to each side of the equation.

12x + -12x = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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What is an equivalent expression for 4y plus y
RideAnS [48]
4y plus y

= 4y + y

= 5y

5 0
3 years ago
The box and whisker plots below show two classes' semester grades. Write a paragraph comparing the two sets of
oksano4ka [1.4K]

The paragraph to show the comparision between two classes semester grades on the basis of the terms

  • extremes
  • quartiles
  • medians
  • ranges

is given below:

<h3>What is Box and Whisker plots?</h3>

A box and whisker plot is defined as a graphical method of displaying variation in a set of data.

From the first figure, write all the values where dark point is drawn

53, 62, 80, 86, 89  

  • The lower extreme is the smallest value, which is 53.

        The upper extreme is the highest value, which is 89.

  • The median will be the middle of data , which is 80

  • The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.

        The upper quartile is 86 and the lower quartile is 62.

  • Range of the data be,

       = Highest - Lowest

       =89-53

       =36

From the second figure, write all the values where dark point is drawn

56, 62, 74, 89, 96

  • The lower extreme is the smallest value, which is 56.

        The upper extreme is the highest value, which is 96.

  • The median will be the middle of data , which is 74.

  • The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.

       The upper quartile is 89 and the lower quartile is 62.

  • Range of the data be,

       = Highest - Lowest

       =96-62

       =34

From the above discussion,  

  • The First class have less upper extreme value than the second class.
  • The First class have less lower extreme value than the second class.
  • The First class have greater median than the second class.
  • The First class have less upper quartile than the second class.
  • The First and second class have equal lower quartile.
  • The First class have greater range than the second class.

The comparision of the two classes on the basis of extremes, quartile, median, range is concluded above.

learn more about box and whisper plot here:

brainly.com/question/11859288

#SPJ1

6 0
2 years ago
How do you plot a fraction on a graph that only allows whole numbers?
klio [65]

Answer:

Depends, rise over run could be considered a fraction, or if it's a number that has a whole number like one and 3/4 then you just plot the point to the best of your ability. In other words guess.

8 0
3 years ago
Read 2 more answers
The owner of a fish market has an assistant who has determined that the weights of catfish are normally​ distributed, with mean
LiRa [457]

Answer:

P(X\geq 3.4)=0.0228

Step-by-step explanation:

Given the mean is 3.2, standard deviation is 0.8 and the sample size is 64.

-We calculate the  probability of a mean of 3.4 as follows:

#First determine the z-value:

z=\frac{\bar X -\mu}{\sigma/\sqrt{n}}\\\\=\frac{3.4-3.2}{0.8/\sqrt{64}}\\\\=2.000

#We then determine the corresponding probability on the z tables:

Z(X\geq 3.4)=1-P(X

Hence, the probability of obtaining a sample mean this large or​ larger is 0.0228

8 0
3 years ago
The sum of 3 consecutive integers is 45. Which equation represents this?
cestrela7 [59]
Consecutive integers are 1 apart
they are
x,x+1,x+2
so it would be
x+x+1+x+2=45
B is answer
3 0
3 years ago
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