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2 years ago

3(x+1)=2(x-1) solve for x

Mathematics

2 answers:

pshichka [43]2 years ago

5 0

Answer:

x = -5

Step-by-step explanation:

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

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

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

Reorder the terms:

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

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

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

Solving :the equation

3 + 3x = -2 + 2x

add '-2x' to each side of the equation.

3 + 3x + -2x = -2 + 2x + -2x

Combine like terms: 3x + -2x = x

3 + x = -2 + 2x + -2x

combine like terms: 2x + -2x = 0

3 + x = -2 + 0

3 + x = -2

Add '-3' to each side of the equation.

3 + -3 + x = -2 + -3

Combine like terms: 3 + -3 = 0

0 + x = -2 + -3

x = -2 + -3

Combine like terms: -2 + -3 = -5

x = -5

divide each side by '1'.

x = -5

alukav5142 [94]2 years ago

3 0

X=-5
3(x+1)=2(x-1)
3x+3=2x-2
x=-5

If you still don’t understand, the picture has the more detailed work

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Eek help? im a bit confused

Ahat [919]

Answer:

3 3/4

Step-by-step explanation:

Each block is worth 0.5 cm (1/2)

One note - NEVER FORGET THE UNITS

L - 5 blocks (5 blocks × 0.5cm = 2.5cm)

W - 2 blocks (2 blocks × 0.5cm = 1cm)

H - 3 blocks (3 blocks × 0.5cm = 1.5cm)

Formula for Volume:

V = L × W × H

V = 2.5cm × 1cm × 1.5cm = 3.75cm (fraction can be 3 3/4)

You're welcome :)

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2 years ago

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Find the missing side of this right a triangle? help pls

yaroslaw [1]

Hi, there!

_____

To find the missing side length of this triangle (which is a right triangle), we'll use Pythagoras' Theorem.

$-\!\!\!-\!\!\!-\!\!\!\longrightarrow\boldsymbol{a^2+b^2=c^2}$

Here,

$\textsc{legs:}\begin{cases} \bold{a}\\\bold{b} \end{cases}$

Hypotenuse (the longest side): c

We know that

$\bold{a=2 \ and \ b=28}$

So, we can substitute our parameters, and solve for c.

$\bold{2^2+28^2=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ square 2 and 28

$\bold{4+784=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ add the numbers

$\bold{788=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ square root both sides

$\bold{\sqrt{788}=c}$

Hope the answer - and explanation - made sense,

happy studying!!

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2 years ago

Please help me!!

ipn [44]

${\color{chartreuse}{Measure\:of\: ∠\:on\: one\: side\:of\:line\:=\:180°}}$

∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram

Let ,

1st∠ = (x + 18)°

2nd∠ = x°

3rd∠ = 4x°

so ,

$⟶\:(x \:+\: 18)°\:+\:x°\:+\: 4x°\:+\:90°\:=\:180°$

$⟶\:6x°\:+ \:18°\:+\:90°\:=\:180°$

$⟶\:6x°\:+ \:108°\:=\:180°$

$⟶\:6x°\:=\:180°\:-\:108°$

$⟶\:6x\:=\:72°$

$⟶\:x\:=\:\frac{72}{6} \\$

$⟶\:x\:=\:12°$

substituting x = 12 at the place of x .

= x° + 18°

= 12° + 18 °

1st∠ = 30°

__________________________________

= x°

2nd∠ = 12°

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= 4x°

= 4(12)°

3rd∠ = 48°

7 0

2 years ago

What is the slope of the line? What is the y-intercept? Write the equation of the line

ohaa [14]

Answer:

slope is 2

y-intercept is 3

equation y=2x+3

Step-by-step explanation:

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2 years ago

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?? please help with this

mestny [16]

Answer:

The Third one

Step-by-step explanation:

Because the y is not included in the function ( see some lines ) and x is the same thing but it is larger than -3 and it is included in the function .

I hope that it's a clear solution and explanation.

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3 years ago