Solve for the exact value of x.

Mathematics

1 answer:

egoroff_w [7]2 years ago

4 0

Answer:

x = 4

Step-by-step explanation:

You might be interested in

PLEASE HELP I WILL GIVE BRAINLIEST PLEASE 20 POINTS

Agata [3.3K]

9514 1404 393

Answer:

$\begin{cases}3x+12&\text{if }x>-4\\0&\text{if }x=-4\\-3x-12&\text{if }x$

Step-by-step explanation:

The absolute value function negates its argument when its argument is negative. The expression 3x+12 will be negative when ...

3x +12 < 0

x +4 < 0

x < -4 . . . . . makes the absolute value function change its argument's sign

Using this fact, we can divide the domain into intervals below -4, at -4, and above -4. The above answer shows the function value in each domain interval.

7 0

2 years ago

7 Expand and simplify where necessary

Alenkinab [10]

7 Expand and simplify where necessary

a 3(4p + 1)

b -6(3T + 5)

ç 4(3x – 2y) + 4(x + 4y)

d 7(2m - 3) - 9(y - 1)

Summary

pretty simple dont suck

8 0

3 years ago

Two ways to solve -2(4x+3)=12x-6

olasank [31]

Answer:

$\huge\boxed{x=0}$

Step-by-step explanation:

$-2(4x+3)=12x-6\qquad\text{divide both sides by (-2)}\\\\4x+3=-6x+3\qquad\text{subtract 3 from both sides}\\\\4x=-6x\qquad\text{add}\ 6x\ \text{to both sides}\\\\10x=0\qquad\text{divide both sides by 10}\\\\\boxed{x=0}\\\\=================================$

$-2(4x+3)=12x-6\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-2)(4x)+(-2)(3)=12x-6\\\\-8x-6=12x-6\qquad\text{add 6 to both sides}\\\\-8x=12x\qquad\text{subtract}\ 12x\ \text{from both sides}\\\\-20x=0\qquad\text{divide both sides by}\ (-20)\\\\\boxed{x=0}$