Answer:
Step-by-step explanation:
P(x)= x³ - x² - 18
Q(x) = P(2x-1)
= (2x-1)³ - (2x-1)² -18
= (2x)³ - 3*(2x)² * 1 + 3*2x* 1² - 1³ - [ (2x)² - 2*2x*1 + 1 ] - 18
=8x³ - 12x² + 6x - 1 - [4x² - 4x +1 ] - 18
= 8x³ - 12x² + 6x - 1 - 4x² + 4x - 1 - 18
= 8x³ - 16x² + 10x - 20
Hint : (a-b)³ = a³-3a²b+3ab²-b³
(a-b)² = a² -2ab + b²
Answer:
answer 1
Step-by-step explanation:
Since there's only 1 value in the 90-99 groups it is either 1 or 3.
Furthermore, there are only 2 values starting with 10.
This only fits with answer 1
Plug in the dimensions to the formula given using a handy dandy calculator for both problems.
1. The diameter of the bottom of the cone is 4 so the radius (half that) is 2. Volume = 1/3 * pi * (2)² * 6
= 1/3 * pi * 4 * 6
= 1/3 * pi * 24
= 8 * pi
≈ 25.1327 cm³
2. They give you all you need, the radius.
Volume = 4/3 * pi * (6)³
= 4/3 * pi * 216
= 288 * pi
≈ 904.7787 in³
The expression (-2 - 6i)-(-2-4i) to a + bi form is 0 - 2i.
Complete question.
Simplify the expression to a + bi form:
(-2 - 6i)-(-2-4i)
Square root of any negative number are expressed as a complex number. For example i = √-1
Complex numbers are generally written in the format z = x+iy
Given the expression (-2 - 6i)-(-2-4i)), in expansion:
(-2 - 6i)-(-2-4i)
= -2 - 6i + 2+4i
Collect the like terms
= (-2 + 2) - 6i + 4i
= 0 - 2i
Therefore the expression (-2 - 6i)-(-2-4i) to a + bi form is 0 - 2i.
Learn more on complex number here: brainly.com/question/12375854
Answer:
x- coordinate of P is - 6
Step-by-step explanation:
The coordinates of any point in the form of an ordered pair (x, y )
Point P has coordinates P (- 6, 2 )