Answer:
11
Step-by-step explanation:
Substitute 3 for b
23 - 4(3)
Multiply 4(3) = 12
23 - 12
Subtract
23 - 12 = 11
(2x-3y) (4x-y)
Multiply the polynomials using distributive property.
(a+b)(c+d) = ac+ad + bc + bd
(2x-3y) (4x-y) = (2x) (4x) + (2x)(-y) + (-3y)(4x) + (-3y)(-y)
Apply plus/minus rule.
-(-a)=a and -(a)=-a
we get
=8x²-2xy-12xy+3y²
Add like terms
=8x²-14xy+3y²
Answer: 8x² - 14xy + 3y²
Answer:
The answer to your question is the letter B. x = 6
Step-by-step explanation:
Data
4x² - 48x = -144
Process
1.- Equal to zero
4x² - 48x + 144 = 0
2.- Multiply 4 by 144
4 x 144 = 576
3.- Find the prime factors of 576
576 2
288 2
144 2
72 2
36 2
18 2
9 3
3 3
1
4.- Find two numbers that added gives -48,
these numbers are -24 and -24
5.- Write the equation using these numbers
4x² -24x - 24x + 144 = 0
6.- Factor by grouping
4x(x - 6) - 24(x - 6)
7.- Factor by like terms
(x - 6)(4x - 24)
8.- Find the solutions
x - 6 = 0 4x - 24 = 0
x = 6 4x = 24
x = 24/4
x = 6
Answer:
The probability that all 3 suppliers will be disrupted at the same time at some point during the next five years is 0.0023.
Step-by-step explanation:
The formula to compute the probability that <em>n</em> suppliers will be disrupted at the same time for a supply cycle is:
Here,
S = super event
U = unique event
n = number of suppliers.
The information provided is:
S = 0.23% = 0.0023
U = 1.4% = 0.014
n = 3
Compute the probability that all 3 suppliers will be disrupted at the same time at some point during the next five years as follows:
Thus, the probability that all 3 suppliers will be disrupted at the same time at some point during the next five years is 0.0023.
