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bagirrra123 [75]
3 years ago
7

Graphing Worksheet Homework: Determine the equation of the line that has slope -6 and goes through the point (-1,6).

Mathematics
2 answers:
alexgriva [62]3 years ago
7 0
Solution :
y - 6 = -6 (x + 1)
y - 6 = -6x - 6
y = -6x - 6 + 6
y = -6x - 0
-6x - y - 0 = 0
y = -6x
Yakvenalex [24]3 years ago
6 0

Answer:

m= (-12)

Step-by-step explanation:

6 = m(-1) + (-6) is the equation then answer.

6 = m(-1) + (-6)

+6. +6 add 6 to cancel out b

12 = m(-1)

-1 (-1) Divide to simplify m

-12=m

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Suppose that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water
Setler79 [48]

Answer:

Step-by-step explanation:

Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.

Let Q(t) be the quantity of salt at time t.

Q(0) = 70 pounds

Inflow of water = outflow = 4 gal/min

So resulting volume of tank at time t = 400 gallons

Rate of change of salt = inflow - outflow

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i.e. \frac{dQ}{dt} =\frac{-Q(t)}{400}

This is a variable separable equation

\frac{dQ}{Q}=-\frac{dt}{400} \\ln Q = {-\frac{t}{400}} +C\\Q = A e^{-\frac{t}{400}}

Use when t =0 Q = 70

A =70

So A(t) = Q(t) = 70 e^{-\frac{t}{400}} and

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A candy store held a contest to guess the total number of jelly beans in a jar. All of the jelly beans in the jar were either gr
Fudgin [204]

Answer:

Step-by-step explanation:

Let the number of orange jelly beans be x , as we do not know the exact value of it yet. There are 12 times as many green jelly beans than the orange ones. So , if the number of orange jelly beans is x , the number of green jelly beans will be = 12 times x , which can be written as 12x. Now there are a total of 1872 jelly beans , but they are either orange or green , so we already know that the number of orange jbs is x , and the number of green jelly beans is 12x. So if we the green jelly beans and orange jelly beans , it should be 1872.

Now all we need to do is to find x.

We know that ,

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Now we have the value of x which is 144

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