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Ilya [14]
3 years ago
14

John left school with $8.43. He found a quarter on his way home and then stopped to buy an apple for $0.89. How much money did h

e have when he got home?
Mathematics
2 answers:
igomit [66]3 years ago
7 0
$7.79 is the answer I’m pretty sure
Marina86 [1]3 years ago
5 0

Answer:

He had $7.79.

Step-by-step explanation:

8.43 + 0.25 = 8.68

8.68 - 0.89 = 7.79

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Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A
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Answer:  The required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

Step-by-step explanation:  We are given to find the characteristic polynomial  of the following 3 × 3 matrix A  with unknown variable x :

A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].

We know that

for any square matrix M, the characteristic polynomial is given by

|M-xI|=0, where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow  (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.

Thus, the required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

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Name the subset of real numbers that 55 belongs to
AleksAgata [21]
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6 0
2 years ago
PLS HELP WILL MARK BRAINLIEST! NO FAKE ANSWERS!<br><br>Name the circle and find mDCF
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Answer:

Step-by-step explanation:

A circle is named by its center.

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3 years ago
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How to find the perimeter of a square one side is 10x other side is 6x+8?
Yanka [14]
To find the perimeter of the square, you add all four sides together:
10x + 10x + (6x + 8) + (6x + 8)
20x + 12x + 16 = P
32x + 16 = P

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