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3 years ago

3x-4(2+3x)=82

Mathematics

2 answers:

enyata [817]3 years ago

8 0

Answer:

x=-10

Step-by-step explanation:

3x-4(2+3x)=82

3x-(4*2)+(4*3x)=82

3x-8-12x=82

-9x-8=82

-9x-8+8=82+8

-9x=90

-9x/-9=x

90/-9=-10

x=-10

11Alexandr11 [23.1K]3 years ago

7 0

Answer:

10 isn't the right answer

Step-by-step explanation:

multiply everything in the parenthesis by -4

you would get 3x-8-12x=82

then combine like terms to get -9x

once your equation is in simplist form it will look like

-9x-8=82

next you add 8 to the 82

-9x=90

then divide 90 by -9 and you would get

x=-10

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Simplify sqrt 244x + sqrt 36x - sqrt 25x

Morgarella [4.7K]

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Then simplify the last two terms: $2 \sqrt{61x}+\sqrt{x}$
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8 0

3 years ago

Find an equation for the nth term of the arithmetic sequence.

Irina18 [472]

Answer:

The equation of the nth term is an = -621 + 42n

Step-by-step explanation:

* Lets revise the arithmetic sequence

- There is a constant difference between each two consecutive numbers

- Ex:

# 2 , 5 , 8 , 11 , ……………………….

# 5 , 10 , 15 , 20 , …………………………

# 12 , 10 , 8 , 6 , ……………………………

* General term (nth term) of an Arithmetic sequence:

- U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d

- Un = a + (n – 1)d, where a is the first term , d is the difference

between each two consecutive terms

, n is the position of the term

* Lets solve the problem

∵ an = a + (n - 1)d

∴ a14 = a + (14 - 1)d

∴ a14 = a + 13d

∵ a14 = -33

∴ a + 13d = -33 ⇒ (1)

- Similar we can find another equation from a15

∵ a15 = a + (15 - 1)d

∴ a15 = a + 14d

∵ a15 = 9

∴ a + 14d = 9 ⇒ (2)

- We will solve equations (1) and (2) to find a and d

* Lets subtract equation (2) from equation (1)

∴ (a - a) + (13 - 14)d = (-33 - 9)

∴ -d = -42 ⇒ × both sides by -1

∴ d = 42

- Substitute this value of d in equation (1) or (2)

∵ a + 13d = -33

∵ d = 42

∴ a + 13(42) = -33

∴ a + 546 = -33 ⇒ subtract 546 from both sides

∴ a = -579

* Now lets write the equation of the nth term

∵ an = a + (n - 1)d

∵ a = -579 and d = 42

∴ an = -579 + (n - 1) 42 ⇒ open the bracket

∴ an = -579 + 42n - 42

∴ an = -621 + 42n

* The equation of the nth term is an = -621 + 42n

6 0

2 years ago

What is 24/28 in simplest form?!?

vovikov84 [41]

Divide top and bottom by four.
6/7 is the answer

3 0

2 years ago

Read 2 more answers

Which of the following equations has no solution?

liubo4ka [24]

Answer:

the last one

3 0

2 years ago

Roy and Sam start solving the equation as follows.

denpristay [2]

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

$-3x+4=5x-6$

According to the addition property of equality $a=b$ and $a+c=b+c$ are equivalent equations.

Use addition property of equality, add 3x on both the sides.

$-3x+4+3x=5x-6+3x$

$4=8x-6$

Therefore Sam's work is incorrect because he make calculation mistake.

According to the subtraction property of equality $a=b$ and $a-c=b-c$ are equivalent equations.

Use subtraction property of equality, subtract 5x from both the sides.

$-3x+4-5x=5x-6-5x$

$-8x+4=-6$

Therefore Roy's work is correct because he used subtraction property.

Option D is correct.

7 0

2 years ago