1 × 1010+3 × 109+4 × 108+0 × 107+0 × 106+0 × 105+0 × 104+0 × 103+0 × 102+0 × 101+0 × 10<span>0
</span>
Answer:
-24
Step-by-step explanation:
All you really have to do is multiply -6 by 4, and that results in -24. Remember, if there is only one negative sign, it will be negative, but if zero or two negative signs are present, the answer will be positive.
[x] represents floor function also called as Greatest integer function.
Floor function is the function that takes as input a real number and gives as output the greatest integer less than or equal to.
like [1.5]=1
[0.7]=0
[-0.3]=-1
Now we have to find set of x-values which satisfies equation [x-1]=[x]
Due to -1 in [x-1], it always produces output value one less than value of [x]
for example when x=0.5 then [x]=[0.5]=0, [x-1]=[0.5-1]=[-0.5]=-1
when x=1.5 then [x]=[1.5]=1, [x-1]=[1.5-1]=[0.5]=0
when x=3 then [x]=[3]=3, [x-1]=[3-1]=[2]=2
From above results we can see that there is no value of x which satisfies the given equation [x-1]=[x]
Hence there is NO solution.
If you would like to know how many total hours did Jeff work today, you can calculate this using the following steps:
4 2/3 hours in the morning + 3 3/4 hours in the afternoon = 4 2/3 + 3 3/4 = 14/3 + 15/4 = 56/12 + 45/12 = (56 + 45) / 12 = 101/12 = 8 5/12 hours
Jeff worked 8 5/12 hours in total.