(3w-8)-4(2w+3)(3w-8)-4(2w+3)
(3w-8)-(8w+12)(3w-8)-4(2w+3)
(3w-8)-(24w-96)-4(2w+3)
(3w-8)-(24w-96)-(8w+12)
(-21w-104)-(8w+12)
-29w-92
So the simplified form of this expression is -29w-92. When you look at the answer choices you have, pick the one that would make equal value with the simplified form of the one you gave here.

8 0

3 years ago

Graph each piecewise function. Then identify the properties.

soldier1979 [14.2K]

Answer:

Domain: (-∞, 0] U (0, ∞): All real numbers.

Range: (-∞, ∞)

Step-by-step explanation:

This function is composed of two polynomial functions, a quadratic whose domain is all real numbers and a negative slope whose domain is all real numbers.

Observe in the attached graph that the function is continuous for the whole domain, it does not have any jump. In addition, the parabolic function comes from ∞, then it has a minimum value in y = 1 it grows up to y = 4. Finally it joins with the equation of the line and it extends to -∞.

Then we can conclude that for this piecewise function:

Domain: (-∞, 0] U (0, ∞): All real numbers.

Range: (-∞, ∞)

7 0

3 years ago

What value is added to both sides of the equation x2 − 4x = −2 in order to solve by completing the square? 4, 2 , −2 , −4

Fiesta28 [93]

X^2 - 4 x = -2
Add 4 to both sides:
x^2 - 4 x + 4 = 2
Write the left-hand side as a square:
(x - 2)^2 = 2
Take the square root of both sides:
x - 2 = sqrt(2) or x - 2 = -sqrt(2)
Add 2 to both sides:
x = 2 + sqrt(2) or x - 2 = -sqrt(2)
Add 2 to both sides:
Answer: x = 2 + sqrt(2) or x = 2 - sqrt(2)

6 0

3 years ago