All categories

3 years ago

How many solutions exist for the given equation?

Mathematics

2 answers:

faust18 [17]3 years ago

8 0

Answer:

$\Huge \boxed{\mathrm{infinite \ solutions}}$

Step-by-step explanation:

$\sf 12x + 1 = 3(4x + 1) - 2$

Using distributive property.

$\sf 12x + 1 = 12x+3 - 2$

$\sf 12x + 1 = 12x+1$

Subtracting 1 from both sides.

$\sf 12x=12x$

Dividing both sides by 12.

$\sf x=x$

All real numbers are solutions.

There are infinite solutions.

Tpy6a [65]3 years ago

4 0

Answer:

infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

Distribute

12x + 1 = 12x + 3 - 2

Combine like terms

12x+1 = 12x +1

Subtract 12x from each side

1 =1

Since this is always true, we have infinite solutions

You might be interested in

Whats the answer for (5x + 8)(4x² + 6x - 8)

mestny [16]

$(5x + 8)(4x^2 + 6x - 8)\\ \\ 5x(4x^2 + 6x - 8) + 8(4x^2 + 6x - 8) \\ \\ 20x^3 + 30x^2 - 40x + 8(4x^2 + 6x - 8) \\ \\ 20x^3 + 30x^2 - 40x + 32x^2 + 48x - 64 \\ \\ 20x^3 + (30x^2 + 32x^2) + (-40x + 48x) - 64 \\ \\ 20x^3 + 62x^2 + 8x - 64 \\ \\$

The final result is: 20x^3 + 62x^2 + 8x - 64.

4 0

3 years ago

A movie theater owner made this box plot to represent attendance at the matinee movie last month.

tatuchka [14]

Answer:

D? maybe, I'm not sure. it jsut makes the most sense.

5 0

3 years ago

100 POINTS PLEASE HELP ASAP!!!!!!

Scorpion4ik [409]

Answer:

they spent 20.3 hours every week watching television!

Step-by-step explanation:

Hope it helped :) please mark brainliest :)

3 0

3 years ago

I need help from uh all..

DanielleElmas [232]

Answer:

Step-by-step explanation:

Given expression is,

$\text{cot}A=\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})$

To prove this identity we will take the right side of the identity,

$\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})=\frac{1}{2}(\frac{1}{\text{tan}\frac{A}{2}}-tan\frac{A}{2})$

$=\frac{1}{2}(\frac{1-\text{tan}^2\frac{A}{2}}{tan\frac{A}{2}})$

$=\frac{1}{2}[\frac{2(1-\text{tan}^2\frac{A}{2})}{2tan\frac{A}{2}}]$

$=\frac{1}{2}(\frac{2}{\text{tan}A} )$ [Since $\text{tan}A=\frac{2\text{tan}\frac{A}{2}}{1-\text{tan}^2\frac{A}{2}}$ ]

= cot A

Hence right side of the equation is equal to the left side of the equation.

3 0

3 years ago

Please solve! I will mark brainliest if correct!

a_sh-v [17]

Hello,

So we can first assign HD videos and classic videos to specific variables, x is HD videos and y is classic videos.

Fiona bought 5 HD videos, and 2 classic videos for 31 dollars.
5x + 2y = 31

Iliana bought 3 HD videos and 5 classic videos for 30 dollars.
3x + 5y = 30

Therefore, the final answer is choice D, 5x + 2y = 31 and 3x + 5y = 30.

8 0

3 years ago

Read 2 more answers