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3 years ago

Solve the following system of equations. 4x-2y-z=-5 x-3y+2z=3 3x+y-2z=-5

1 answer:

3 0

4x - 2y - z = - 5 ______×2x - 3y + 2z = 3 _______×13x + y - 2z = - 5 ______×1
8x - 4y - 2z = - 10x - 3y + 2z = 33x + y - 2z = - 5
8x - 4y - 2z = - 10(+) x - 3y + 2z = 3_____________9x - 7y = - 77y = 9x + 7y = 9/7x + 1
x - 3y + 2z = 3(+) 3x + y - 2z = - 5_____________4x - 2y = - 24x - 2(9/7x + 1) = - 24x - 18/7x - 2 = - 210/7x = 0x = 0
y = 9/7(0) + 1y = 1
0 - 3(1) + 2z = 32z = 6z = 3

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Anyone know the answer to this?

jeyben [28]

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3 years ago

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Simplify the following expression. 5 [13 + 10 = (3 + 2)] + 9 x 2

Sergio [31]

Answer:

i BELIEVE ITS

Step-by-step explanation:

5 [13 + 10 = (3 + 2)] + 9 x 2

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3 years ago

Which function can be used to find the number of cells of bacteria in the population at time t

Nonamiya [84]

Answer:

db / dt = kb

this becomes b(t) = Ce^(kt)

C = 100, the initial population

P(1) = 420 = 100 e^(1k)

4.2 = e^k

ln 4.2 = k

a) thus, b(t) = 100 e^(t ln 4.2)

b) b(3) = 100 e^(3 ln 4.2)

c) growth constant will still be ln 4.2 (constant percentage of populatioin)

d) 10000 = 100 e^(t ln 4.2)

100 = e^(t ln 4.2)

ln 100 = t ln 4.2

t = ln 100 / ln 4.2

Step-by-step explanation:

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2 years ago

Please help me with this question.

Sav [38]

Answer:

-2; -7

Step-by-step explanation:

Hello, the graph is split in two lines, right?

Go to the first line at the left and move to the right until you reach the end of the line, which is for x = -1,

*** This is the meaning of x tending to

$(-1)^{-}$ ***

which value can you see for the y-axis? $\boxed{-2}$

Now, go to the second line at the right and move to the left until you reach the end of the line, which is for x = -1,

*** This is the meaning of x tending to

$(-1)^{+}$ ***

which value can you see for the y-axis?

$\boxed{-7}$

Thanks

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2 years ago

Suppose Upper F Superscript prime Baseline left-parenthesis x right-parenthesis equals 3 x Superscript 2 Baseline plus 7 and Upp

Sedaia [141]

It looks like you're given

F'(x) = 3x² + 7

and

F (0) = 5

and you're asked to find F(b) for the values of b in the list {0, 0.1, 0.2, 0.5, 2.0}.

The first is done for you, F (0) = 5.

For the remaining b, you can solve for F(x) exactly by using the fundamental theorem of calculus:

$F(x)=F(0)+\displaystyle\int_0^x F'(t)\,\mathrm dt$

$F(x)=5+\displaystyle\int_0^x(3t^2+7)\,\mathrm dt$

$F(x)=5+(t^3+7t)\bigg|_0^x$

$F(x)=5+x^3+7x$

Then F (0.1) = 5.701, F (0.2) = 6.408, F (0.5) = 8.625, and F (2.0) = 27.

On the other hand, if you're expected to approximate F at the given b, you can use the linear approximation to F(x) around x = 0, which is

F(x) ≈ L(x) = F (0) + F' (0) (x - 0) = 5 + 7x

Then F (0) = 5, F (0.1) ≈ 5.7, F (0.2) ≈ 6.4, F (0.5) ≈ 8.5, and F (2.0) ≈ 19. Notice how the error gets larger the further away b gets from 0.

A better numerical method would be Euler's method. Given F'(x), we iteratively use the linear approximation at successive points to get closer approximations to the actual values of F(x).

Let y(x) = F(x). Starting with x₀ = 0 and y₀ = F(x₀) = 5, we have

x₁ = x₀ + 0.1 = 0.1

y₁ = y₀ + F'(x₀) (x₁ - x₀) = 5 + 7 (0.1 - 0) → F (0.1) ≈ 5.7

x₂ = x₁ + 0.1 = 0.2

y₂ = y₁ + F'(x₁) (x₂ - x₁) = 5.7 + 7.03 (0.2 - 0.1) → F (0.2) ≈ 6.403

x₃ = x₂ + 0.3 = 0.5

y₃ = y₂ + F'(x₂) (x₃ - x₂) = 6.403 + 7.12 (0.5 - 0.2) → F (0.5) ≈ 8.539

x₄ = x₃ + 1.5 = 2.0

y₄ = y₃ + F'(x₃) (x₄ - x₃) = 8.539 + 7.75 (2.0 - 0.5) → F (2.0) ≈ 20.164

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2 years ago