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3 years ago

Write a matrix to represent the system 2a-3b=6 a+b=2

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

8 0

The matrix should be this:

<span> $\left[\begin{array}{ccc}2&-3\\1&1\end{array}\right]$

</span>

Feliz [49]3 years ago

5 0

Answer:

2| -3| 6

1| 1| 2

Step-by-step explanation:

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A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

4 years ago

Estimate the sum or difference, Use the benchmarks 0, 1/2, 1.

Oksana_A [137]

It is B might might be wing :/

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4 years ago

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zubka84 [21]

Answer:

v= -12

Step-by-step explanation:

v= -12

v = -29+17

v= -12

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2 years ago

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Solve for x, -4(x+3)=-12-4x

stira [4]

There is No Solution

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3 years ago

Dave builds sheds. The widths of the doorways for the sheds vary with the area of the shed. One of Dave's sheds has an area of 2

Dovator [93]

Answer:

The widths of the shed doorways follow the pattern of multiplying by two. For example, 2 x 2 = 4.

Step-by-step explanation:

24 x 2 = 48

2 x 2 = 4

The sheds double in width and area.

7 0

2 years ago