The derivative of f(x) at x=3 is 2x=6 approaching from the left side (apply power rule to y=x^2). The derivative of f(x) at x=3 is m approaching from the right side. In order for the function to be differentiable, the limit of derivative at x=3 must be the same approaching from both sides, so m=6. Then, x^2=mx+b at x=3, plug in m=6, 9=18+b, so b=-9.
Answer:
1.2 feet long
Step-by-step explanation:
(1/50) * 60 = 1.2
Answer:
Interquartile Range = 34
Range = 55
Step-by-step explanation:
Max - Min = Range
75 - 20 = 55
Quartile 3 - Quartile 1 = IQR
68 - 34 = 34
1. Reduce <span>3x2-6x-240 to x^2 - 2x - 80
2. Use " ^ " to indicate exponentiation
3. Factor </span>x^2 - 2x - 80 using completing the square:
x^2 - 2x + 1^2 - 1^2 - 80
(x+1)^2 - 1 - 80
(x+1)^2 - 81
(x+1)^2 - 9^2 = (x+1-9)(x+1 +9), or (x-8)(x+10)
Final answer, with all factors shown: 3(x-8)(x+10)
-8x+2=-7x+10
-x+2=10
-x=8
x=-8
