2x-3 > 11 - 5x
2x + 5x > 11 + 3
7x > 14
x > 14/7
x > 2
Answer:
y = 15x + 20
Step-by-step explanation:
He charges a flat rate of $20, so any total for hours worked will have an additional $20 added to it.
The 15x represents his earnings per hour. He makes 15 per every hour worked, x represents the number of hours worked
Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
Answer:
Step-by-step explanation:
Blue is 1 and a quarter.
Brown is Half
Answer:
4⁻⁴
Step-by-step explanation:
4⁵ × 4⁻⁷ ÷ 4⁻²
⁺ ⁵ ⁻ ⁷
= ⁻²
⁻ ² ⁻ ²
= ⁻ ⁴
4⁻⁴
