This is a combination in which you choose 4 from 10.
The formula is
combinations = 10! / 4! * (10-4)!
combinations = 10! / 4! * 6!
combinations = 10 * 9 * 8 * 7 * 6! / 4! * 6!
combinations = 10 * 9 * 8 * 7 / 4 * 3 * 2
combinations = 10 * 3 * 7
combinations = 210
Source:
http://www.1728.org/combinat.htm
Answer:
47
Step-by-step explanation:
Well 47 is the highest prime number that is smaller than 50
Answer:
-8k - 15
Step-by-step explanation:
5(-2k-3)+2k
At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -
[(-) x (-) = (+); (+) x (-) = (-)]
Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.
or, -5*(2k) - (5*3) + 2k
or, -10k - 15 + 2k
or, -8k - 15 (after the deduction)
The answer is = -8k - 15
Answer:1
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
-2*x+5-(7)<0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
-2x - 2 = -2 • (x + 1)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by -2
Remember to flip the inequality sign:
Solve Basic Inequality :
2.2 Subtract 1 from both sides
x > -1
Inequality Plot :
2.3 Inequality plot for
-2.000 X - 2.000 > 0
One solution was found :
x > -1
Answer: 12
Step-by-step explanation:
We know that , the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.
For example : For x= 1.5
y = [1.5] =2
For x= 3.64
y = ⌊3.64⌋=4
The given function :
Then, for x= 5.9 , we have
[since [3.9]=4 (least integer function)]
Therefore, the value of f(5.9) is 12
