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AnnZ [28]
3 years ago
12

The points (6,8) and (5,5) fall on a particular line.

Mathematics
1 answer:
Doss [256]3 years ago
8 0

Answer:

y=3x-10

Step-by-step explanation:

To find equation of the line passing through points

and A(xa, ya) and B(xb, yb)

, we use formula: y-ya = yb-ya/xb-xa (x-xa)

In this example we have xa=

6 ,ya=

8 , xb=5

and yb=5

. So,

y-ya= yb-ya / xb-xa (x-xa)

y-8 = 5-8/ 5-6 (x-6)

y-8= 3(x-6)

y-8= 3x-18

y-8= 3x-10

y = 3x - 10

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Cost of a CD: $23.50<br> Markup: 63%<br> Discount: 50%
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7 0
2 years ago
Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. What is the value when 2 is substituted for x into both
Anika [276]

Keywords:

<em>Equation, simplified, variable, compare </em>

For this case, we have an equation of the formy = f (x), where f (x) = 3 (4x - 6). The equation was simplified and we want to find the value off (x)when the variablex = 2 and compare the result of both equations. So:

f (x) = 3 (4x - 6)(1)

We apply distributive property to simplify, taking into account that: a (b + c) = ab + ac

f (x) = 12x-18 (2)

If x = 2, we substitute in the original equation and in the simplified equation:

1) f (2) = 3 (4 (2) - 6) = 3 (8-6) = 3 * 2 = 6

2) f (2) = 12 (2) -18 = 24-18 = 6

Thus, whenx = 2 is substituted in both expressions, the result is 6.

Answer:

For f (x) = 3 (4x - 6) and f (x) = 12x-18, substitutingx = 2 we have the result is 6.

6 0
3 years ago
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4 0
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gregori [183]
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