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valina [46]
2 years ago
12

14-4(3x+1)+2x simplify

Mathematics
2 answers:
weqwewe [10]2 years ago
7 0

<u>Answer:</u>

  • The solution to the expression is 10 - 10x

<u>Step-by-step explanation:</u>

Let's first simplify the bracket. The whole bracket has been multiplied by 4.

  • 14 - 4(3x + 1) + 2x

<em>Simplification:</em>

  • => 14 - 12x - 4 + 2x
  • => (14 - 4) + (-12x + 2x)

<em>Further Simplification:</em>

  • => 10 + (-10x)
  • => 10 - 10x

Hence, <u>the solution to the expression is 10 - 10x</u>

Hoped this helped.

BrainiacUser1357

earnstyle [38]2 years ago
6 0

\huge\text{Hey there!}

\large\boxed{\mathbf{14 - 4(3x + 1) + 2x}}\\\\\large\text{DISTRIBUTE 4 WITHIN the PARENTHESES}\\\\\large\boxed{\mathbf{= 14 - 4(3x) + 4(1) + 2x}}\\\\\large\boxed{\mathbf{= 14 - 12x + 4 + 2x}}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\boxed{= \mathbf{(14 - 4) - (12x + 2x)}}\\\\\large\boxed{= \mathbf{14 - 4 - 12x + 2x}}\\\\\large\boxed{= \mathbf{-12x + 2x + 14 - 4}}\\\\\large\boxed{\mathbf{-10x + 10}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-10x + 10}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your}\\\huge\text{day!}

~\frak{Amphitrite1040:)}

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Answer:

Step-by-step explanation:

Like your other question, let's break it down systematically

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Use the distributive property

6x + 9y - <u>9(6x - 3y + 8z)</u>

6x + 9y - 54x - 27y + 72z

Match like terms

6x - 54x = -48x

9y - 27y = -18y

72z - 48x - 18y

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3 years ago
Kisha helped her teacher put away 36 books in boxes. She had to put the same number of books in each box to make the boxes easy
VashaNatasha [74]
6 because if she put 6 books in 6 boxes, you the books would be equally split and 6 books in 6 boxes would equal 36 books
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Read 2 more answers
Student Council sponsors weekly dances at their school on Friday nights. The admission price for each person is $4 for Student C
Morgarella [4.7K]

Answer:

$110

Step-by-step explanation:

So first you have to do 15*4. We get the 4 from the admission fees and the 15 from the number of dances they attend. From this answer we can see the total of money they will be paying for admission for the 15 dances.

15*4=$60

However, our answer isn't just $50 as we are also told membership costs $50. So no we add $50 to $60, which gives us an answer of $110, which is the amount the member will pay if they attend 15 dances during the school year.

8 0
3 years ago
The table gives estimates of the world population, in millions, from 1750 to 2000. (Round your answers to the nearest million.)
BaLLatris [955]

Answer:

A.) 1508 ; 1870

B.) 2083

C.) 3972

Step-by-step explanation:

General form of an exponential model :

A = A0e^rt

A0 = initial population

A = final population

r = growth rate ; t = time

1)

Using the year 1750 and 1800

Time, t = 1800 - 1750 = 50 years

Initial population = 790

Final population = 980

Let's obtain the growth rate :

980 = 790e^50r

980/790 = e^50r

Take the In of both sides

In(980/790) = 50r

0.2155196 = 50r

r = 0.2155196/50

r = 0.0043103

Using this rate, let predict the population in 1900

t = 1900 - 1750 = 150 years

A = 790e^150*0.0043103

A = 790e^0.6465588

A = 1508.0788 ; 1508 million people

In 1950;

t = 1950 - 1750 = 200

A = 790e^200*0.0043103

A = 790e^0.86206

A = 1870.7467 ; 1870 million people

2.)

Exponential model. For 1800 and 1850

Initial, 1800 = 980

Final, 1850 = 1260

t = 1850 - 1800 = 50

Using the exponential format ; we can obtain the rate :

1260 = 980e^50r

1260/980 = e^50r

Take the In of both sides

In(1260/980) = 50r

0.2513144 = 50r

r = 0.2513144/50

r = 0.0050262

Using the model ; The predicted population in 1950;

In 1950;

t = 1950 - 1800 = 150

A = 980e^150*0.0050262

A = 980e^0.7539432

A = 2082.8571 ; 2083 million people

3.)

1900 1650

1950 2560

t = 1900 - 1950 = 50

Using the exponential format ; we can obtain the rate :

2560 = 1650e^50r

2560/1650 = e^50r

Take the In of both sides

In(2560/1650) = 50r

0.4392319 = 50r

r = 0.4392319/50

r = 0.0087846

Using the model ; The predicted population in 2000;

In 2000;

t = 2000 - 1900 = 100

A = 1650e^100*0.0087846

A = 1650e^0.8784639

A = 3971.8787 ; 3972 million people

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Answer:

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Step-by-step explanation:

hope it helps

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