Answer: x < -12
Step-by-step explanation:
-4x – 12 > 36
4x > 36+ 12
-4 > 48
x < -48/4
x < -12
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)
- Cutiepatutie ☺️❀❤
Unfortunately, you overlooked the need to share Steps 1-6.
Solve: (log to the base 3 of)(x+2)= (log to the base 3 of) (2x^2-1).
Use (log to the base 3 of)(x+2) as the exponent of 3 in the equation 3 = 3:
(log to the base 3 of)(x+2) (log to the base 3 of) (2x^2-1)
3 = 3
This reduces to x+2 = 2x^2 -1, which, in turn, simplifies to 2x^2 - 1 - x - 2 = 0, or
2x^2 - x - 3 = 0. You could use the quadratic formula or some other method to solve this for x. The roots are 3/2 and -1.
1. Answer is x = 1
Explanation: Rearrange terms
-22 + 8c = 28x - 42
Add 22 to both sides of the equation
8x - 22 = 28x - 42
8x - 22 + 22 = 28x - 42 + 22
Simplify
8x = 28x - 20
Subtract 28x from both sides of the equation
8x = 28x - 20
8x - 28x = 28x - 20 - 28x
Simplify
-20x = -20
Divide both sides of the equation by the same term
-20x/-20 = -20/-20
2. Answer is x = -8
Rearrange terms
-11x - 2 = 6 - 10x
-11x - 2 = -10x + 6
Add 2 to both sides of the equation
-11x - 2 = -10x + 6
-11x - 2 + 2 = -10x + 6 + 2
Simplify
-11x = -10x + 8
Add 10x to both sides of the equation
-11x = -10x + 8
-11x + 10x = -10x + 8 + 10x
Simplify
-x = 8
Divide both sides of the equation
-x = 8
-x/-1 = 8/-1
Simplify
x = -8
3. Answer is x = 7
Rearrange terms
4x + 8 = -13 + 7x
Subtract 8 from both sides of the equation
4x + 8 - 8 = 7x - 13 - 8
Simplify
4x = 7x - 21
Subtract 7x from both sides of the equation
4x = 7x - 21
4x - 7x = 7x - 21 - 7x
Simplify
-3x = -21
Divide from both sides
-3x = -21
-3x/-3 = -21/-3
answer is x = 7
4. Answer is x = -15
Subtract 8 from both sides
2x + 8 = x - 7
2x + 8 - 8 = x - 7 -8
Simplify
2x = x - 15
Subtract x from both sides of the equation
2x = x - 15
2x - x = x- 15 - x
Simplify
x = -15
Tried to be detailed lol hope this helps!
Y=f(x)
basically solve for y
mnus 9x both sides
3y=12-9x
divide both sides by 3
y=4-3x
f(x)=4-3x
Answer:
Increasing → (-∞, -0.5)
Decreasing → (-0.5, ∞)
Step-by-step explanation:
From the picture attached,
Vertex of the parabola represents the highest point of the curve of a quadratic function 'f'.
Left part from the vertex is increasing and the right side is increasing.
x-coordinates of the vertex,
x = -0.5
Therefore, graph of the function is increasing in the interval (-∞, -0.5)
And decreasing in the interval (-0.5, ∞).