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Lorico [155]
3 years ago
12

Solve for x: 2(3x + 4) + 2 = 4 + 3x

Mathematics
2 answers:
katrin2010 [14]3 years ago
7 0

Answer:

-2

Plz mark as brainliest! Hope this helps!

Step-by-step explanation:

Please look at the files I have added!

Anton [14]3 years ago
3 0

Answer:

-2

Step-by-step explanation:

Distribute

2

(

3

+

4

)

+

2

=

4

+

3

{\color{#c92786}{2(3x+4)}}+2=4+3x

2(3x+4)+2=4+3x

6

+

8

+

2

=

4

+

3

{\color{#c92786}{6x+8}}+2=4+3x

6x+8+2=4+3x

2

Add the numbers

6

+

8

+

2

=

4

+

3

6x+{\color{#c92786}{8}}+{\color{#c92786}{2}}=4+3x

6x+8+2=4+3x

6

+

1

0

=

4

+

3

6x+{\color{#c92786}{10}}=4+3x

6x+10=4+3x

3

Rearrange terms

6

+

1

0

=

4

+

3

6x+10={\color{#c92786}{4+3x}}

6x+10=4+3x

6

+

1

0

=

3

+

4

6x+10={\color{#c92786}{3x+4}}

6x+10=3x+4

4

Subtract  

1

0

10

10

from both sides of the equation

6

+

1

0

=

3

+

4

6x+10=3x+4

6x+10=3x+4

6

+

1

0

−

1

0

=

3

+

4

−

1

0

6x+10{\color{#c92786}{-10}}=3x+4{\color{#c92786}{-10}}

6x+10−10=3x+4−10

5

Simplify

Subtract the numbers

Subtract the numbers

6

=

3

−

6

6x=3x-6

6x=3x−6

6

Subtract  

3

3x

3x

from both sides of the equation

6

=

3

−

6

6x=3x-6

6x=3x−6

6

−

3

=

3

−

6

−

3

6x{\color{#c92786}{-3x}}=3x-6{\color{#c92786}{-3x}}

6x−3x=3x−6−3x

7

Simplify

Combine like terms

Combine like terms

3

=

−

6

3x=-6

3x=−6

8

Divide both sides of the equation by the same term

3

=

−

6

3x=-6

3x=−6

3

3

=

−

6

3

\frac{3x}{{\color{#c92786}{3}}}=\frac{-6}{{\color{#c92786}{3}}}

33x​=3−6​

9

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

−

2

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Answer:

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2 years ago
A) Model this situation with a linear system:
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Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

286 = 6 days and 320 km

320/6 = 53,333 km

286/6 = $ 47,666

Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

3 0
3 years ago
What is the price of a $1,000 face value bond if the quoted price is 102.1? $102.10 $1,021.00 $1,020.01 $1,002.10 $1,020.10?
dusya [7]
Given that the par value of the bond is $1000 and the quoted price is $102.1, then the price of the bond will be:
Price=(quoted price)
Price=102.1
Price=$102.1

Answer: $102.1

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3 years ago
Find (f+g)(x). f(x)=-3x+2 and g(x)=x^3
hodyreva [135]

Answer:

\large\boxed{(f-g)(x)=x^3-3x+2}

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)\\\\\text{We have}\ f(x)=-3x+2\ \text{and}\ g(x)=x^3.\\\\\text{Substitute:}\\\\(f+g)(x)=(-3x+2)+(x^3)=x^3-3x+2

4 0
3 years ago
Which is the range of possible side lengths of the missing side?
Harlamova29_29 [7]

Answer:

5 < x <21

Step-by-step explanation:

The side lengths of a triangle :

The sum of two side lengths selected at random must be bigger than the third side length and their difference must be smaller than the third side length

If we call the third side x than

x must be smaller than 13 + 8 and x must be bigger than 13 - 8 which means

5 < x <21

3 0
3 years ago
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