Answer:
x = 6
Step-by-step explanation:
20 = 7x + 2 - 4x
7x + 2 - 4x = 20 (switch the sides)
7x - 4x + 2 = 20 (group the like terms together)
3x + 2 = 20 (add similar numbers, in this case it's the both x's)
-2 -2 (subtract 2 on both sides)
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3x = 18
/3 /3 (divide both sides by 3)
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x = 6
[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.
Answer:
2√30
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
7^2 + b^2 = 13^2
b^2 = 120
b = 2√30
Answer: Substitute -108 into the place of b
Step-by-step explanation:
-6=b/18
-6=-108/18
-6=-6
You get the same answer, which makes it correct.
