4(2 - x) > -2x - 3(4x + 1)
8 - 4x > -2x - 12x - 3
-4x + 2x + 12x > -3 - 8
10x > -11
x > -11/10
x > -1.1
Therefore, x = 0 and x = 10 zre solutions to the inequality.
Answer:
quadrants 2 & 3
Step-by-step explanation:
cos = adj/hyp
adj is negative in quadrants 2 & 3.
Answer:
CP = 4500
SP = 5175
As the SP is greater than the CP, it is a profit
Profit = 675
Profit percent = (Profit / CP) * 100
=> (675/4500) * 100
=> 675/45 (As the 2 zeros of hundred in the numerator is cancelled by the 2 zeros of the 4500 in the denominator)
=> 15 (Once you divide 675 by 45)
=> 15 % profit
Therefore, Profit = 15 %
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For this exercise it is important to know that, in Dilations:
1. When the scale factor is greater than 1, the Image (the figure obtained after the transformation) is an enlargement.
2. When the scale factor is greater than 0 but less than 1, the Image is a reduction:
![0You know that the coordinates of the vertices of the polygon ABCD are:[tex]\begin{gathered} A(2,4) \\ B(-4,-8) \\ C(0,4) \\ D(12,-2) \end{gathered}](https://tex.z-dn.net/?f=0You%20know%20that%20the%20coordinates%20of%20the%20vertices%20of%20the%20polygon%20ABCD%20are%3A%5Btex%5D%5Cbegin%7Bgathered%7D%20A%282%2C4%29%20%5C%5C%20B%28-4%2C-8%29%20%5C%5C%20C%280%2C4%29%20%5C%5C%20D%2812%2C-2%29%20%5Cend%7Bgathered%7D)
And the scale factor is:
![k=\frac{1}{2}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B1%7D%7B2%7D)
Since:
![0](https://tex.z-dn.net/?f=0%3C%5Cfrac%7B1%7D%7B2%7D%3C1)
It is a reduction.
You can identify that the rule of this transformation is: