Answer:
x=-4
Step-by-step explanation:
2(|x+4|+3)=6
take out absolute value
2(x+4+3)=6
remove parrenthesis
2x+8+6=6
Simplify
2x+14=6
-14 -14
2x=-8
x=-4
Hope this helps!!!!!
Answer:
5 and 7.
Step-by-step explanation:
Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:
*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.

Expanding, you get:

And moving the 35 to the other side, you get a simple quadratic.

Solving by factoring:

This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).
Answer:
Numbers to the left of 0 on a number line or anywhere are always negative,
Step-by-step explanation:
Answer:
3x - 9 - (6 / (x+4))
Step-by-step explanation:
3x - 9
|----------------------------------------
(x +4) | (3x^2 + 3x - 42 )
3x^2 + 12x
------------------------------
-9x - 42
-9x - 36
-----------------------------------
- 6
Answer: 3x - 9 - (6 / (x+4))
X^2 + y^2 = 8
X-y=0 so x = y
replace x = y into X^2 + y^2 = 8
y^2 + y^2 = 8
2y^2 = 8
y^2 = 8/2
y^2 = 4
y = - 2 and y = 2
because x = y
so x = - 2 and x = 2
solutions:
x= - 2 and x = + 2
y= - 2 and y = + 2