Answer: 150
Step-by-step explanation:
30% = 0.3
100-30=70
70% = 0.7
0.7 X 500 = 350
500-350 = 150
Answer:
6 3/4x
Step-by-step explanation:
If you follow PEMDAS (Parenthesis, Exponent, Multiply, Divide, Add, Subtract) then you do what is inside the parenthesis first.
3 1/2 divided by 2= 1 3/4
1 3/4 plus 5= 6 3/5
Then, you add the x and since there is no other variable like x, then you just leave it with 6 3/4.
Hope that helped! :)
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1. Perfect square trinomials, are 2nd degree polynomials, of the form
![a x^{2} +bx+c](https://tex.z-dn.net/?f=a%20x%5E%7B2%7D%20%2Bbx%2Bc)
so that
![a \neq 0, b \neq 0, c \neq 0](https://tex.z-dn.net/?f=a%20%5Cneq%200%2C%20b%20%5Cneq%200%2C%20c%20%5Cneq%200)
, which can be written as perfect squares.
2. For example
![(x+1) ^{2} = x^{2} +2x+1 (3x-1)^{2}= (3x)^{2}-2(3x)+(-1) ^{2}= 9x^{2}-6x+1 ](https://tex.z-dn.net/?f=%28x%2B1%29%20%5E%7B2%7D%20%3D%20x%5E%7B2%7D%20%2B2x%2B1%0A%20%0A%283x-1%29%5E%7B2%7D%3D%20%283x%29%5E%7B2%7D-2%283x%29%2B%28-1%29%20%5E%7B2%7D%3D%209x%5E%7B2%7D-6x%2B1%20%20%20%20%0A)
3. Thus
![x^{2} +2x+1, 9x^{2}-6x+1](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x%2B1%2C%209x%5E%7B2%7D-6x%2B1%20)
are perfect square trinomials.
4.
![x^{2} -bx+100= x^{2} -bx+ 10^{2}= (x+10)^{2} or (x-10)^{2}](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20-bx%2B100%3D%20x%5E%7B2%7D%20-bx%2B%2010%5E%7B2%7D%3D%20%28x%2B10%29%5E%7B2%7D%20%20%20or%20%20%28x-10%29%5E%7B2%7D)
5. In the first case -b=20, so b=-20. In the second case, -b=-20, so b=20.
6. b∈{-20, 20}
Answer: Choice C
![\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}0 & 1\\\cline{1-2}2 & 2\\\cline{1-2}4 & 3\\\cline{1-2}6 & 4\\\cline{1-2}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7C%7D%20%5Ccline%7B1-2%7Dx%20%26%20y%5C%5C%5Ccline%7B1-2%7D0%20%26%201%5C%5C%5Ccline%7B1-2%7D2%20%26%202%5C%5C%5Ccline%7B1-2%7D4%20%26%203%5C%5C%5Ccline%7B1-2%7D6%20%26%204%5C%5C%5Ccline%7B1-2%7D%5Cend%7Barray%7D)
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Explanation:
There are four marked points on the line.
Each point is of the form (x,y)
- The first or left most point is (0,1)
- The second point is (2,2)
- The third is (4,3)
- The fourth is (6,4)
Each of these points is then listed in the table format as shown above.
There are infinitely many other points on the line; however, we only select a few of them to make the table (or else we'd be here all day).
Extra side notes:
- The slope of this line is m = 1/2 = 0.5
- The y intercept is 1 located at (0,1)
- The equation of this line is y = 0.5x+1