Answer:
y=3/2x-6
Step-by-step explanation:
To find the y=mx+b you need to move the y on one side while moving the others on the other side
First, move the 3x to the other side by subtracting by 3x on both sides:
-2y=-3x+12
Divide by -2 on both sides:
y=3/2x-6
Is it 5^6 - 5^11 = 5x × (1-5y)?
5^6 - 5^11 = 5^(6-11) = 5^(-5) = 1/(5^5)
So 1/3125 = 5x - 5(5y)
1/3125 = 5(x-5y)
1/3125/5 = x-5y
0.000064 = x - 5y
Answer:
Hey mate, here is your answer. Hope it helps you.
Step-by-step explanation:
6x-21 —->
x=21+6
=27
In order to get g(x) you would multiply the equation of f(x) by -1/2.
4x(-1/2)=-2x and -2(-1/2)=1.
Clearly, |S| = 50.
Count the multiples of 2 between 1 and 50:
⌊50/2⌋ = ⌊25⌋ = 25
(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round <u>down</u> to the nearest integer)
Count the multiples of 3 between 1 and 50:
⌊50/3⌋ ≈ ⌊16.667⌋ = 16
Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:
⌊50/6⌋ ≈ ⌊8.333⌋ = 8
Then by the inclusion/exclusion principle, we remove from S
25 + 16 - 8 = 33
elements, so that the new set S contains 50 - 33 = 17 elements.