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Ann [662]
3 years ago
9

What expression can represent 70% of X

Mathematics
1 answer:
agasfer [191]3 years ago
6 0

Answer:

3(x/4) - 1/2 (x/10) or you can just do 0.7x but I don't think that counts as an expression, so just put 3(x/4) - 1/2 (x/10).

Step-by-step explanation:

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Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1. (2 points)
umka2103 [35]

Focus of the parabola is (-5,5) and directrix is y = -1.

Let's assume a point (x,y) on parabola.

According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.

\sqrt{(x+5)^2+(y-5)^2} = \sqrt{(y+1)^2} \\\\(x+5)^2+(y-5)^2=(y+1)^2 \\\\(x+5)^2 + y^2 - 10y +25 = y^2 +2y +1 \\\\(x+5)^2 =  -y^2 +10y -25 + y^2 +2y +1 \\\\(x+5)^2 = 12y -24 \\\\12y =  (x+5)^2  +24 \\\\ y = \frac{1}{12} (x+5)^2  +2

Hence, option D is correct, i.e. f(x) = one twelfth (x + 5)2 + 2.

7 0
3 years ago
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A dress that is normally 54 is marked down 20% what is the new price of the dress?
Harman [31]

Answer:$ 43.20

Step-by-step explanation: I think this is right I just worked it out

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A box of 120 crayons contains variations of three colors: blue, red, and purple. The ratio of blue crayons to red crayons is 11:
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$6.79 - $3.95 = $2.84. Since you’re rounding to the nearest half dollar, you’d found to $3. $2.84 is closer to $3 than $2.50

$3 - $2.84 = $.16
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