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1 year ago

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

Mathematics

1 answer:

ElenaW [278]1 year ago

3 0

Answer:

The value of x is -3.

Explanation:

Given the equation:

$4\mleft(2x+3\mright)=3x+3+2x$

Step 1: Distribute 4 in the left-hand side.

$\begin{gathered} 4\mleft(2x)+4(3\mright)=3x+3+2x \\ 8x+12=3x+2x+3 \\ 8x+12=5x+3 \end{gathered}$

Step 2: Collect like terms.

$\begin{gathered} 8x-5x=3-12 \\ 3x=-9 \end{gathered}$

Step 3: Divide both sides by 3.

$\begin{gathered} \frac{3x}{3}=-\frac{9}{3} \\ x=-3 \end{gathered}$

The value of x is -3.

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Please help me!!

Anton [14]

Answer:

Quadrant 2, x-axis

Step-by-step explanation:

Point C is on top left side of the x-y graph, which is quadrant 2.

An axis refers to line, so the x axis the is horizonal line, as it says on the right end of it. The y axis is the vertical line, noted at the top of the line.

The only line that's on a line is point D and it's on the x-axis.

3 0

3 years ago

∠1 and ∠2 are supplementary. ∠1=124°∠2=(2x+4)° Select from the drop down menu to correctly answer the question.

Alex_Xolod [135]

Remark
Supplementary angles add up to 180o.

Givens
<1 = 124
<2 = 2x + 4

I imagine you are looking for either x or <2.

Equation
<1 + <2 = 180 Substitute the givens
124 + 2x + 4 = 180 Collect like terms on the left.
128 + 2x = 180 Subtract 128 from both sides
2x = 180 - 128 Collect like terms on the right
2x = 52 divide by 2
x = 52/2
x = 26 <<<<<<<<< answer

<1 = 124
<2 = 2x + 4 = 2*26 + 4
<2 = 52 + 4
<2 = 56 <<<<<<<< answer

We need choices if you want an exact answer.

3 0

4 years ago

What is the first step in solving the equation?<br> +4= -2

adell [148]

Answer:

adding +2 on both sides to remove the -2 then it would be 2=0

Step-by-step explanation:

8 0

2 years ago

Which of the following are identities? Check all that apply

Natasha2012 [34]

Answer:

A, C

Step-by-step explanation:

Actually, those questions require us to develop those equations to derive into trigonometrical equations so that we can unveil them or not. Doing it only two alternatives, the other ones will not result in Trigonometrical Identities.

Examining

A) True

$\frac{1-tan^{2}x}{2tanx} =\frac{1}{tan2x} \\ \frac{1-tan^{2}x}{2tanx} =\frac{1}{\frac{2tanx}{1-tan^{2}x}}\\ tan2x=\frac{1-tan^{2}x}{2tanx}$

Double angle $tan2\alpha =\frac{1 -tan^{2}\alpha }{2tan\alpha}$

B) False,

No further development towards a Trig Identity

C) True

Double Angle Sine Formula $sin2\alpha =2sin\alpha *cos\alpha$

$sin(8x)=2sin(4x)cos(4x)\\2sin(4x)cos(4x)=2sin(4x)cos(4x)$

D) False No further development towards a Trig Identity

$[sin(x)-cos(x)]^{2} =1+sin(2x)\\ sin^{2} (x)-2sin(x)cos(x)+cos^{2}x=1+2sinxcosx\\ \\sin^{2} (x)+cos^{2}x=1+4sin(x)cos(x)$

7 0

3 years ago

Read 2 more answers

The length of a rectangular prism is 4√3 units. The height is 3√6 units. If the volume is irrational, which could be the measure

Jet001 [13]

Volume = length * height * width
= 4 qrt3 + 3 sqrt6 * w
= 12 sqrt18 w

let w = 2 sqrt50 then volume = 2*12 * sqrt 18*50 = 24*30 so this is rational

let w = 4 sqt 12 the v = 48 sqrt12 * sqrt 18 = 48 sqrt30 which is irrational

C and D are rational
answer is B

8 0

3 years ago