<span>along with units digit being < tens digit....let see if we can come up with something.
ones unit must be 0,2,4,6,or 8.
if 0 then tens unit can be 1-9 case1
if 2 then tens unit can be 3-9 case2
if 4 then tens unit can be 5-9 case3
if 6 then tens unit can be 7-9 case4
if 8 then tens unit can be 9 case5
:
108 is covered in case1 because 0<8
:</span><span>case5: 98----9+8=17 to be divisible by 9 hunderds unit has to be 1 and 198
is not divisible by 12
:
case4:96,86,76...96---9+6=16 to be div by 9 100's unit has to be 3 and that is more than 200. 86 ...8+6=14 to be div by 9 100's unit has to be 4....to big
same problem with 76
:
case3:94,84,74,64,54...9+4, 8+4,7+4,6+4,5+4 all present problems with #'s larger than 200
:
case2:92,82,72,62,52,42,32 ...92,82,and 72 all get throw out because #'s larger than 200. 62 is 6+2=8..to be divisble by 9 100's unit must be 1...162..not divisible by 12 take 52,42,32 end up with being over 200
:
case1:90,80,70,60,50,40,30,20,10... 90 larger than 200...80 is 8+0=8 in order to be divisible by 9 100's unit has to be 1. 180.......guess what this number is divisible by 9 and 12 and is less than 200
applying divisibility rules for the rest of the numbers in this case make all the numbers to large >200
:
SO WE HAVE GONE THROUGH ALL THE CASES AND 180 is the only one that qualified
there could be a simpler way but I will have to think on that</span>lets work backwards
You can separate the parts of the expression to make it easier to solve.
8/-2= -4
2/5(/)1/5= 2/5 (you could just do 2/1= 2 and put 5 as the denominator)
-4 2/5
That is a mixed number, with an integer and a fraction. It cannot be simplified any more.
I hope this helps!
<em>~kaikers </em>
If your transformed function is F(s), the limiting value of f(t) as t goes to infinity is the limiting value of s*F(s) as s goes to zero.
Multiply your function by s, then evaluate for s=0. If the form is indeterminate, evaluate the limit as s approaches zero.
Answer:
the vertex is (-4,2), I hope this helps :)
Step-by-step explanation:
Step-by-step explanation:
Simplifying
3(3w + -5) = 12
Reorder the terms:
3(-5 + 3w) = 12
(-5 * 3 + 3w * 3) = 12
(-15 + 9w) = 12
Solving
-15 + 9w = 12
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 9w = 12 + 15
Combine like terms: -15 + 15 = 0
0 + 9w = 12 + 15
9w = 12 + 15
Combine like terms: 12 + 15 = 27
9w = 27
Divide each side by '9'.
w = 3
Simplifying
w = 3