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Artemon [7]
3 years ago
10

Find the polynomial equation with the given roots (precalc)

Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0
Theee point to under stand to how long but tee lol and then you have a good luck on the game you can have it to you
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Box all final answers. Little to no work will reccive little to no credit! I. (5 points) Let A and B be 4 x 4 matrices, with det
FinnZ [79.3K]

Answer: a) -6, b) 32, c) -48, d) 9, e) -12

Step-by-step explanation:

Since we have given that

A and B are 4 × 4 matrices.

Here,

det (A) = -3

det (B) = 2

We need to find the respective parts:

a) det (AB)

\mid AB\mid=\mid A\mid.\mid B\mid\\\\\mid AB\mid=-3\times 2=-6

b) det (B⁵ )

\mid B^5\mid=\mid B\mid ^5=2^5=32

c) det (2A)

Since we know that

\mid kA\mid =k^n\mid A\mid

so, it becomes,

\mid 2A\mid =2^4\mid A\mid=16\times -3=-48

d) \bold{det(A^TA)}

Since we know that

\mid A^T\mid=\mid A\mid

so, it becomes,

\mid A^TA\mid=\mid A^T\mid \times \mid A\mid=-3\times -3=9

e) det (B⁻¹AB)

As we know that

\mid B^{-1}\mid =\mid B\mid

so, it becomes,

\mid B^{-1}AB}\mid =\mid B^{-1}.\mid \mid A\mid.\mid B\mid=2\times -3\times 2=-12

Hence, a) -6, b) 32, c) -48, d) 9, e) -12

6 0
3 years ago
Shelley's cup of tea cooled down 1/2 of a degree in 10 minutes. At what rate is her tea cooling down?
lana [24]

1degree every 20 minutes or

3degrees per hour

5 0
2 years ago
A quarter is worth of a dollar. Haley needs to exchange dollar bills to get quarters to do her laundry in coin washers and dryer
Ira Lisetskai [31]

Answer:

52 quarters

Step-by-step explanation:

-We know that a quarter dollar is equivalent to $0.25

\$1=4 \ Quarters

-Given that Haley has $13, we multiply this amount by 4 since $1 has 4 quarters to obtain the number of quarters:

Q=13\times 4\\\\=52

Hence, Hayley will get 52 quarters.

8 0
3 years ago
Solve for x…..…………………
anzhelika [568]

Answer:

x = 11

Step-by-step explanation:

From the diagram, we find,

(2x - 16) + (x - 8) = 9

=> 2x - 16 + x - 8 = 9

=> 2x + x - 16 - 8 = 9

=> 3x - 24 = 9

=> 3x = 9 + 24

=> 3x = 33

=> x = 33/3

=> x = 11

8 0
2 years ago
Read 2 more answers
What property -3(m + 8) = -3m - 24
Andrews [41]

Answer:

distributive property of multiplication

Step-by-step explanation:

5 0
2 years ago
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