Answer:
x ≤ 
Step-by-step explanation:
Given
- 2 ≤ 
Multiply through by 6 to clear the fractions
2(x - 1) - 12 ≤ 5 - 2x ← distribute and simplify left side
2x - 2 - 12 ≤ 5 - 2x
2x - 14 ≤ 5 - 2x ( add 2x to both sides )
4x - 14 ≤ 5 ( add 14 to both sides )
4x ≤ 19 ( divide both sides by 4 )
x ≤
Answer:
To find the x-intercepts we can write:
0 = -1/2(x + 3)² + 4
0 = -1/2(x² + 6x + 9) + 4
0 = -1/2x² - 3x - 9/2 + 4
0 = -1/2x² - 3x - 1/2
0 = x² + 6x + 1
x = -3 ± 2√2 (use quadratic formula)
As a decimal this can be written as x = -5.83, x = -0.17.
We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area. Hope this helps!
