$500 - $200 = $300 dollars left.
$300 divided by $10 = 30 weeks.
Answer:
The triangle will be same to the first triangle only its side would be changed. The triangle will be congruent to the first triangle. The triangle formed will be the same as the first.
Step-by-step explanation:
Answer:
a) Domain: all real values of x
Range: all real values of y
b) Relative maxima: (0,3)
Relative minima: (2,-1)
c) yes, (1,1)
d) x < 0, x > 2
Step-by-step explanation:
a) Domain: all real values of x
Range: all real values of y
b) dy/dx = 3x² - 6x = 0
3x(x - 2) = 0
x = 0, y = 0³ - 3(0)² + 3 = 3
x = 2, y = 2³ - 3(2)² + 3 = -1
d²y/dx² = 6x - 6
x = 0, d²y/dx² = -6 < 0 (max)
x = 2, d²y/dx² = 6 > 0 (min)
c) d²y/dx² = 0 at points of infection
6x - 6 = 0
x = 1
y = 1³ - 3(1)² + 3 = 1
dy/dx at x = 0.9: 3(0.9)² - 6-(0.9)
= -0.298
dy/dx at x = 1.1: 3(1.1²) - 6(1.1)
= -0.297
Decreasing on both sides, therefore (1,1) is a point of inflection
d) increasing when dy/dx > 0
3x² - 6x > 0
Roots: x = 0, 2
x < 0, x > 2
Answer:
Step-by-step explanation:
18 degrees
6/2000 = x / 25,000.....6 lbs to 2000 sq ft = x lbs to 25,000 sq ft
cross multiply
(2000)(x) = (6)(25,000)
2000x = 150,000
x = 150,000/2000
x = 75 <== 75 lbs
