Answer:
24x^3-30x^2+36x
Step-by-step explanation:
you distribute.
(2x+3)(4x^2-5x+6)
distribute the 2x first
3(4x^2*2x-5x*2x+6*2x)
then simplify
3(8x^3-10x^2+12x)
then distribute again (I'm distributing and multiplying it out in this step)
24x^3-30x^2+36x
Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:
12x11x10x9x8 different combinations.
Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.
(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.
Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)
C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
Answer:

Step-by-step explanation:
given,
initial price of buzz stock = $ 20 per share
after 20 days
stock price = $30 per share
after 40 days
the price = $35 per share
let say it is modeled by
y = ax² + b x + c
x = number of days
y = stock price
x = 0 y = 20
20 = a x 0 + b x 0 + c
c = 20
x = 20 y = 30
30 = 20² a + 20 b + 20
400 a + 20 b = 10...........(1)
x = 40 y = 35
35 = 40² a + 40 b + 20
1600 a + 40 b = 15...........(2)
solving equation (1)and (2)
a = - 1/160
b = 5/8


hence , the above equation is multipart function
Answer:
32
Step-by-step explanation:
254 square unit is the answer