Answer:
Step-by-step explanation:
There are 6 digits given: 1,2,3,5,8 and 9
But we are only taking three at a time.
= 6!/3!
= 6*5*4*3*2/3*2
= 6*5*4
= 120
The first and last digits can only be even if the number takes the one of the forms "2 _ 8" or "8 _ 2". The middle number can be any of the remaining four.
This means the probability of getting a number beginning and ending with an even digits is:
= 8/120
= 1/15 ....
Answer:
A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.
Step-by-step explanation:
hope this explains well, good luck !
Answer:
Option A, B, and C.
Step-by-step explanation:
Given, 6x ≥ 3 + 4(2x - 1),
Solve to find the correct representations given in the options.
6x ≥ 3 + 4(2x - 1)
Apply distributive property
6x ≥ 3 + 8x - 4 (option B is correct) ✅
Add like terms
6x ≥ -1 + 8x
Add 1 to both sides
6x + 1 ≥ 8x
Subtract 6x from each side
1 ≥ 8x - 6x
1 ≥ 2x (option A is correct) ✅
Divide both sides by 2
1/2 ≥ 2x/2
½ ≥ x
½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.
This make option C correct.✅
