Answer:
50%
Step-by-step explanation:
There are a total of 20 marbles.
10/20 equal 50%
[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.
<span>f(-10)=12, x = -10, y = 12
f(16)=-1, x = 16, y = -1.
so, we have two points, let's check with that,
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![\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)} y-12=-\cfrac{1}{2}[x-(-10)] \\\\\\ y-12=-\cfrac{1}{2}(x+10)\implies y-12=-\cfrac{1}{2}x-5\implies y=-\cfrac{1}{2}x+7](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%20y-12%3D-%5Ccfrac%7B1%7D%7B2%7D%5Bx-%28-10%29%5D%0A%5C%5C%5C%5C%5C%5C%0Ay-12%3D-%5Ccfrac%7B1%7D%7B2%7D%28x%2B10%29%5Cimplies%20y-12%3D-%5Ccfrac%7B1%7D%7B2%7Dx-5%5Cimplies%20y%3D-%5Ccfrac%7B1%7D%7B2%7Dx%2B7)
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Answer:
12
Step-by-step explanation:
AC = AB + BC
Since we know what each variable equals, we can write out the equation as shown:
52 = 8X + 8 + 2X + 4
Combining like terms:
52 = 10X + 12
Subtract 12 from both sides:
40 = 10X
Divide by 10:
X = 4
Now that we know X, we can figure out BC
BC = 2(4) + 4
BC = 8 + 4
BC = 12
Therefore BC is 12.
