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3 years ago

PLEASE HELP MATH AND FIND THE VALUE OF X

Mathematics

1 answer:

Oksana_A [137]3 years ago

5 0

Answer: x = 9
Explanation: 180 - (84 + 33) = 63, 63 - 9 = 54, 54/6 = 9

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]Eigenvectors are found by the equation $(A-\lambda I) \vec{v} = 0$$ implying that $\det(A-\lambda I) = 0$ . We then can write:

$A-\lambda I = \left [ \begin{array}{cc} 4-\lambda & 2 \\ 5 & 1-\lambda \end{array}\right ]$

And:

$\det(A-\lambda I) = (4-\lambda)(1-\lambda) - 10 = 0$

Gives us the characteristic polynomial:

$\lambda^2 - 5 \lambda -6 = 0 \implies \lambda_1 = -1, \lambda_2 = 6$

So, solving for each eigenvector subspace:

$\left [ \begin{array}{cc} 4 & 2 \\ 5 & 1 \end{array} \right ] \left [ \begin{array}{c} x \\ y \end{array} \right ] = \left [ \begin{array}{c} -x \\ -y \end{array} \right ]$

Gives us the system of equations:

$4x + 2y = -x \newline 5x + y = - y$

Producing the subspace along the line $y = -\frac{5}{2} x$

We can see then that 3 is the answer.

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3 years ago

Simplify: –3(y + 2)2 – 5 + 6yWhat is the simplified product in standard form?

sweet-ann [11.9K]

Answer by Mimiwhatsup:

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3 years ago

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yanalaym [24]

The answer is 930, because 78 multiply 12 is 930.

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3 years ago

Read 2 more answers

Last month,Margo bought a tree that grows 2.5cm each day.It was 5cm tall when she bought it and now it 65cm tall. Write a equati

Effectus [21]

Answer:

The equation to determine the number of days Margo has owned the plant is $5+2.5x=65$ .

Step-by-step explanation:

Given:

Actual length of the tree = 5 cm

Current length of the tree = 65 cm

Per day growth Rate of plant = 2.5 cm

Let number of days she owned the plant be 'x'

Now We can say that,

Current length of the tree is equal to sum of Actual length of the tree and Per day growth Rate of plant multiplied by number of days she owned the plant.

Farming the above sentence in equation form we get;

$5+2.5x=65$

Hence the equation to determine the number of days Margo has owned the plant is $5+2.5x=65$ .

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3 years ago

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Julli [10]

Answer:

(b) 1

Step-by-step explanation:

To differentiate $h(x)=f(x)g(x)$ we will need the product rule: