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Liula [17]
2 years ago
3

identify the graph and describe the solution set of this system of inequalities y < -3x -2 y > -3x +8

Mathematics
1 answer:
mezya [45]2 years ago
7 0
52 divided the number of Aaron’s in the numerical equation is the same as equation one so it’s pretty simple
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The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFract
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Answer:

The equation of the line in standard form is

x-4y=8

Step-by-step explanation:

The equation of the line in point slope form is

y-y1=m(x-x1)

we have

y-1=(1/4)(x-12)

so

m=1/4

(12, 1)

step 2

Find the equation of the line in standard form

The equation of the line in standard form is

Ax+By=C

where

A is positive integer

B and C are integers

we have

y-1=(1/4)(x-12)

Multiply by 4 both sides to remove the fraction

4y-4=(x-12)

x-4y=12-4\\x-4y=8

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2 years ago
The average blood alcohol concentration (bac) of eight male subjects was measured after consumption of 15 ml of ethanol (corresp
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Answer:

After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.

Step-by-step explanation:

The average blood alcohol concentration (bac)  is modeled by the following function.

c(t) = 0.0225te^{-0.0467t}

In which t is measured in minuted.

How rapidly was the BAC increasing after 5 minutes?

This is c'(t) when t = 5.

Using the derivative of the product.

Derivative of the product:

c(t) = f(t)*g(t)

c'(t) = f'(t)*g(t) + f(t)*g'(t)

In which problem:

f(t) = 0.0225t

g(t) = e^{-0.0467t}

So

c'(t) = 0.0225e^{-0.0467t} - 0.0225*0.0467*te^{-0.0467t}

c'(5) = 0.0225e^{-0.0467*5} - 0.0225*0.0467*5e^{-0.0467*5} = 0.0137

After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.

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