Answer:
(9/2)√x.
Step-by-step explanation:
Convert the radical to an exponent.
x√x = x^1 * x^1/2
= x^(1 + 1/2)
= x^3/2
So the derivative of 3x^3/2 is found as follows:
y' = 3 * 3/2x^(3/2 - 1)
= (9/2)x^1/2
= (9/2)√x.
Answer:
odd numbers
Step-by-step explanation:
4 - 7 is 3, 7 - 12 is 5, 12 - 19 is 7, 19 to 28 is 9
So just keep counting
Question 3 is 48
Question 4 is 45
V = lwh
2x³ + 17x² + 46x + 40 = l(x + 4)(x + 2)
2x³ + 12x² + 16x + 5x² + 30x + 40 = l(x + 4)(x + 2)
2x(x²) + 2x(6x) + 2x(8) + 5(x²) + 5(6x) + 5(8) = l(x + 4)(x + 2)
2x(x² + 6x + 8) + 5(x² + 6x + 8) = l(x + 4)(x + 2)
(2x + 5)(x² + 6x + 8) = l(x + 2)(x + 4)
(2x + 5)(x² + 2x + 4x + 8) = l(x + 4)(x + 2)
(2x + 5)(x(x) + x(2) + 4(x) + 4(2)) = l(x + 4)(x + 2)
(2x + 5)(x(x + 2) + 4(x + 2)) = l(x + 4)(x + 2)
(2x + 5)(x + 4)(x + 2) = l(x + 4)(x + 2)
(x + 4)(x + 2) (x + 4)(x + 2)
2x + 5 = l