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andreev551 [17]
3 years ago
7

The slope of a graphed line is -9 and the y-intercept is (0, -2). What is the

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0

Answer:

<h2>y = -9x - 2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

<em>y = mx + b</em>

<em>m</em> - slope

<em>b</em> - y-intercept (0, b)

We have the slope <em>m = -9</em> and the y-intercept (0, -2) → <em>b = -2</em>.

Substitute:

<em>y = -9x + (-2) = -9x - 2</em>

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Answer:

S(t) = 600*0.9^t

Step-by-step explanation:

At the beginning (t = 0) the sample has 600 grams. After 1 millennium from today (t = 1) the mass will be: 600 - 600*0.1 = 600*0.9. After 2 millennium from today (t = 2) the mass will be the 90% of the mass in the previous millenium, that is: 600*0.9*0.9 = 600*0.9^2. Analogously, at time = 3, sample's mass will be: 600*0.9^2*0.9 = 600*0.9^3. In a table format, that is

t       m

0      600

1       600 - 600*0.1 = 600*0.9

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Therefore, sample's mass in grams, S(t), where t refers to millennia from today is computed as follows: S(t) = 600*0.9^t

7 0
3 years ago
Solve this algebraic expression.  7-4x+3=x-16-3x<br><br> Please explain.
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7−4x+3=x−16−3x

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Subtract 10 from both sides.

−2x+10−10=−16−10

−2x=−26

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x=13

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