Answer:
e = 9
Step-by-step explanation:
ok e is just x, so we have to get it alone
4e - 10 = 2e + 8
We move the 2 since its smaller than the 4, and we move it two the other side. 4-2=2 so the new e is 2, now that 8 is alone (since we moved the 2), we cant be having the e with the -10... like this..
2e - 10 = 8, so we now add 10 so it can go with the 8, the new equation is this..
2e = 18
18/2 = 9
simple explanation
4e - 10 = 2e + 8
2e = 18
e = 9
(does that make sense)
To subtract fractions, we need an lcd( lowest common denominator)
8. the lcd is 42 because it’s the smallest number that 6 and 7 are both factors of. the lcd is the bottom of the fraction
to make the denominator of (4/7) 42, we will multiply the top and bottom by 6 and we get (24/42)
to make the denominator of (3/6) 42, we will multiply the top and bottom by 7 and we get (21/42)
these two numbers now have the same denominator so we subtract them
24/42 - 21/42 = 3/42 which simplifies to 1/14
9. since these fractions already have a common denominator, we will make them mixed fractions
-5(2/7) as a mixed fraction. first multiply 5*7 which is 35. now add 2 which is 37. our mixed fraction is -37/7
-1(5/7) as a mixed fraction. multiple 1*7 which is 7. now add 5 which is 12. our mixed fraction is -12/7
now subtract (-37/7) - (12/7) and we get -49/7 which simplifies to -7
Check over domain -10<=x<=10 since |sin(2x)| cannot be greater than 1.
Also note that sin(2x) is periodic with a period of pi.
First start at x=0. Note that 0.1(0) = sin(2*0) is an intersection. Also note that sin(2x) will range from -1 to 1 every pi units we travel along the x-axis. Also note that the rate of increase of sin(2x) at x=0 along the positive x direction is greater than that of 0.1x so there will only be one additional intersection along the domain 0<x<=pi rather than 2. (If this last part sounds confusing I can explain in greater detail but you'll have to wait awhile.) Finally note that from the domains pi<x<=2pi and 2pi<x<=3pi we have 2 intersections each. So from 0<=x<=3pi we have a total of 6 intersections.
All that we need to check now is if there are any more intersections on the domain 3pi<x<=10. Sin(2x) will reach its maximum at x=10 on this domain since the function increases on this domain so we have:
sin(2*10) = sin(20) = .913 (approximate)
0.1(3pi) = .942 (approximate)
Since 0.1x is larger than sin(2x) for the entire domain 3pi<x<=10 we can conclude that there is no additional intersections.
Now all that is left to do is note that sin(2x) and 0.1x are both symmetric with respect to the origin so the number of intersections on the domain -10<=x<0 will be the same as the number of intersections on the domain 0<x<=10, which is 5. (I left out x=0 since we counted that one already).
Therefore assuming I haven't messed up somewhere (and assuming x was measured in radians and not degrees) the number of intersections is 6+5=11.
Hope it helps :)
Answer:
See the image for solution
Hope it helps
Have a great day
Answer:
sleeping bags, carpeting, more bottles, ect...
Step-by-step explanation: