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Zolol [24]
2 years ago
11

How many solutions exist for the given equation 12x 1/3 4x 1 2?.

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
3 0

There exists infinitely many solutions for the given equation 12x + 1 = 3(4x + 1) – 2  

Here, we are given an equation as follows-

12x + 1 = 3( 4x + 1 ) – 2

Let us solve the equation to get the value of the variable x.

12x + 1 = 12x + 3 – 2

12x + 1 = 12x + 1

Thus, here, we see that the Left hand side is exactly equal to the right hand side. This means that the given equation has infinitely many solutions.

Therefore, there exists infinitely many solutions for the given equation 12x + 1 = 3(4x + 1) – 2  

Learn more about linear equations here-

brainly.com/question/14323743

#SPJ4

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Savatey [412]

use a^2-b^2=(a+b)(a-b)

to get (\cos^3A-\sin^3A)(\cos^3A+\sin^3A)

then use a^3+b^3=(a+b)(a^2+b^2-ab)

and a^3-b^3=(a-b)(a^2+b^2+ab)

also, \sin^2\theta+\cos^2\theta=1

to get (\cos A-\sin A)(1+\sin A\cos A)(\cos A+ \sin A)(1-\sin A\cos A)

then again use the first identity In both pairs, i.e.

(\cos A-\sin A)(\cos A+ \sin A) \cdot (1+\sin A\cos A)(1-\sin A\cos A)

to get \cos 2A (1-\sin^2A\cos^2A)

multiply and divide by 4 to get the RHS.

because, \sin(2A)= 2\sin A \cos A

squaring both sides, \sin^2 (2A)=4\sin^2A\cos^2A

3 0
3 years ago
Read 2 more answers
-2 + 3x > -23 | x = ?
gizmo_the_mogwai [7]

Answer:

Give Me Brainliet

Step-by-step explanation:

x= 9/8 =1.125

7 0
4 years ago
Read 2 more answers
If a couple files a return as married filing jointly how many returns will the irs get
tangare [24]

In 2018, married filing separately taxpayers only receive a standard deduction of $12,000 compared to the $24,000 offered to those who filed jointly. If you file a separate return from your spouse, you are automatically disqualified from several of the tax deductions and credits mentioned earlier.

6 0
3 years ago
A rectangle has a length that is 5 meters greater than the width. If w represents the width, write an expression, in terms of w,
ahrayia [7]

Answer:

Area of rectangle is w^2+5w

Perimeter of Rectangle is 4w+20.

Step-by-step explanation:

Given:

Let the width of the rectangle be 'w'.

Also Given:

A rectangle has a length that is 5 meters greater than the width.

Length of rectangle = w+5\ meters

We need to write expression for Area of rectangle and Perimeter of rectangle.

Solution:

Now we know that;

Perimeter of rectangle is equal to twice the sum of the length and width.

framing in equation form we get;

Perimeter of rectangle = 2(w+5+w)=2(2w+5) =4w+20

Also We know that;

Area of rectangle is length times width.

framing in equation form we get;

Area of rectangle= w(w+5) = w^2+5w

Hence Area of rectangle is w^2+5w and Perimeter of Rectangle is 4w+20.

6 0
3 years ago
Solve this inequality 3q + 11 + 8q > 99
Artyom0805 [142]
Solution:
3q + 11 + 8q > 99
11q + 11 > 99
11(q+1)  > 99
q+1> 9 dividing the inequality by 11 on both sides.
q > 8 Answer.
5 0
3 years ago
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