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kupik [55]
3 years ago
12

Which of the following functions is graphed below.

Mathematics
1 answer:
Valentin [98]3 years ago
7 0

Answer: Option A

y=\left \{ {{x^2 +2;\ \ x

Step-by-step explanation:

In the graph we have a piecewise function composed of a parabola and a line.

The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.

The equation of this parabola is y = x ^ 2 +2

Then we have an equation liney = -x + 2


Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."

(this is x< 1)

Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .

(this is x\geq 1)

Then the function is:

y=\left \{ {{x^2 +2;\ \ x

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Suppose A is an invertible n×n matrix and v is an eigenvector of A with associated eigenvalue 4. Convince yourself that v is an
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The eigenvector of matrix A4 is 4096.

The eigenvalue of the matrix A-1 is 1/8.

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The collection of scalar values known as the eigenvalues of a matrix are connected to the set of linear equations that are most likely contained within the matrix equations.

The eigenvectors are also known as the characteristic roots.

If the matrix A's eigen vector v is linked to an eigen value.

Av then equals lamda v.

The fact that v is an eigen vector of A with the value eight is assumed.

hence, Av = 8v.

We must determine the eigenvalue of A4.

A4*v equals A3(8v) = 84*v equals 4096v.

As a result, the eigenvalue of A4 is 4096.

Suppose A has an eigenvalue of 8. The eigenvalue of A-1 is thus 1/8.

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(A+4I) has an eigenvalue of 12.

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Learn more about the eigen vectors here:

brainly.com/question/15423383

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7 0
1 year ago
ANSWER NEEDED QUICKLY‼️ BRAINLIEST TO RIGHT ANSWER
liq [111]
I’m pretty sure the answer is B
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3 years ago
A restaurant offers diet soda and regular soda.In one day they sold 64 sodas.If 28 of the sodas they sold were diet, what is the
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Answer: The ratio of regular sodas sold to diet sodas sold is 9:7

Step-by-step explanation:

The restaurant offers diet soda and regular soda.

In one day they sold a total of 64 sodas. If 28 of the sodas they sold were diet sodas, the rest would be regular sodas. Therefore, the number of regular sodas sold will be 64 - 28 = 36 regular sodas. The ratio of regular sodas sold to diet sodas sold would be the number of regular sodas sold divided by the number of diet sodas sold. It becomes

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7 0
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