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3 years ago

Pleaseee helppp ASAPP

Mathematics

2 answers:

sveta [45]3 years ago

4 0

Answer:

(- 4, 22 )

Step-by-step explanation:

To determine which point lies on the graph, substitute the x- coordinate of the point into the equation and if the value obtained is equal to the y- coordinate of the point then it lies on the graph.

(1, - 2 )

y = - 4(1) + 6 = - 4 + 6 = 2 ≠ - 2 ← not on graph

(- 4, - 10 )

y = - 4(- 4) + 6 = 16 + 6 = 22 ≠ - 10 ← not on graph

(- 4, 22 )

y = - 4(- 4) + 6 = 16 + 6 = 22 ← lies on graph

(1, - 10 )

y = - 4(1) + 6 = - 4 + 6 = 2 ≠ - 10 ← not on graph

Levart [38]3 years ago

3 0

Answer:

(-4,22)

Step-by-step explanation:

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Answer:

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Question 2: $m=Ae^{(0.2t)}$

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Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

a) Separate variables

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b) Integrate

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c) Antilogarithm

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Question 3. Which particular solution matches the additional information?

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$t=3hours,dm/dt=4g/h$

First, find the mass at t = 3 hours

$dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g$

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$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

Particular solution:

$m=10e^{(0.2t)}$

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Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

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