Answer:
-6.
Step-by-step explanation:
Difference coefficient
= -6(x + h) + 3 - (-6x + 3) / h
= -6x - 6h + 3 + 6x - 3 / h
= -6h / h
= -6.
Answer:
8 π or
25.13 unit^3 to the nearest hundredth.
Step-by-step explanation:
(A)
The height of the shell is (2 + x - x^2) and the radius is (2 - x).
V = 2π ∫(2 - x)(x + 2 - x^2) dx between the limits x = 0 and x = 2.
= 2π ∫ (2x + 4 - 2x^2 - x^2 - 2x + x^3) dx
= 2π ∫ (x^3 - 3x^2 + 4 ) dx
= 2π [ x^4/4 - x^3 + 4x ] between x = 0 and x = 2
= 2 π [4 - 8 + 8 )
= 2 π * 4
= 8π
= 25.13 unit^3 to the nearest hundredth.
Answer:
y = 15.9
Step-by-step explanation:
y = 3 - 4.3x
y = 3 - 4.3(-3)
y = 3 + 12.9
y = 15.9
Answer:
126 in^2
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2) h
A = 1/2 ( 12+16)*9
A = 1/2 (28) *9
= 126
(2x + 3y)4
Distribute
4*2x = 8x
4*3y = 12y
8x + 12y
Answer: 8x + 12y
