Answer:
Step-by-step explanation:
"the greatest value of n is 8" is signified by n ≤ 8.
This is a set, and also an inequality.
X-2
--------- greater than or equal to 6
2(x+3)
First, clear out the fraction. Mult. both sides of this inequality by 2(x+3):
x-2 greater than or equal to 6(2)(x+3)
x-2 greater than or equal to 12x + 36 becomes
-38 greater than or equal to 11x
Thus, -38/11 is greater than or equal to x, or
x is smaller than or equal to -38/11
check: try x = -44/11 = -4 (this is smaller than -38/11)
Substitute -4 into the original inequality:
x-2
--------- greater than or equal to 6
2(x+3)
becomes
-4-2
--------- greater than or equal to 6
2(-4+3)
or
-6
---- = 3. Is this greater than or equal to 6? No.
-2
So, choose a different test value for x: Try one that's on the other side of
-38/11. I'll try 0.
Then
0-2
--------- greater than or equal to 6
2(0+3)
-2
---- = -1/3. Unfortunately, this is not greater than or equal to 6.
6
Thus, this tentative solution fails.
Trying again:
x-2
--------- greater than or equal to 6
2x + 6
Multiply both sides by 2x+6: x-2 is greater than or equal to 6(2x+6)
Then x-2 is greater than or equal to 12x + 36
Add 2 to both sides: x is gr. than or = to 12x + 38
Subtr. 38 from both sides: -38 + x is gr than or equal to 12x, or
-38 is gr than or = to 11x, and -38/11 is gr than or = to x (same as before).
Again, -4 proves NOT to be a solution. Thus, the interval (-infinity, -38/11) is not part of the solution set.
Trying x = 2,
2-2
------------- comes out to 0, which is NOT greater than or equal to 6.
2(2) + 6
Thus, (-38/11, infinity) is not a solution set either.
NO SOLUTION!
Answer:
What exactly am i supposed to justify, comment down below and ill answer
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
+ 11g - 4h
f = 3, g = 2 and h = 7.
Substitute the above values into the expression.
+ 11 × 2 - 4 × 7
Since there's no addition, subtraction or division signs between 11g and 4h, this basically shows that it is multiplied. Simplify further...
is 3×3×3 which equals to 27
11 × 2 equals to 22, and
-4 × 7 = -28
Put all these found values into an expression.
27 + 22 - 28
Use the B.O.D.M.A.S. rule. First we have to add then subtract.
(27 + 22) - 28
49 - 28 = 21
V=number of videos, x=total amount
10v*3=x
Since each video is $10, you would have to multiply that by the number of videos. Once you find that you would multiply that number by three, since you will be keeping the videos for 3 days. With that you will find, x, the total amount.
