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3 years ago

-2 1/2 divided by 3 1/2

Mathematics

2 answers:

Nesterboy [21]3 years ago

7 0

-0.71428571428 :) hope this helps

sergeinik [125]3 years ago

7 0

Answer:

-07428571428 yan na ang agot

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During the course of a year, the price of a boat decreased from $300,000 to $240,000. What was the percent decreased in price?

sp2606 [1]

It decreased by 20%.

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4 years ago

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The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of th

Aliun [14]

Answer:

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

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

to find the eigenvalues of the matrix you use the following:

$det(A-\lambda I)=0$

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

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

and by taking the determinant:

$[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-\lambda)+(2)(-2)(-3-\lambda)]=0\\\\-\lambda^3-6\lambda^2-12\lambda-16=0$

and the roots of this polynomial is:

$\lambda_1=-4\\\\\lambda_2=-1+i\sqrt{3}\\\\\lambda_3=-1-i\sqrt{3}$

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

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3 years ago

Use U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A = {2, 3, 4}, B = {4, 6, 8, 9}, and C = {1, 5, 10} to find the given set.

timama [110]

Answer:

$A \cap B = \{ 4 \}$

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3 years ago

I have been doing math all day, please help!

tester [92]

Substitute x and y with the value from table. The correct answer is A. 7=-3(-1)+4.

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3 years ago

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Help me please i need help bad

Basile [38]

Answer:

3 > n - 1 = n < 4

t − 3 > −2 = t > 1

4 < p - 2 = p > 6

2 ≥ h − 5 = h ≤ 7

v − 5 > −9 = v > 4

p + 3 ≤ 4 = p ≤ 1

- 7 < 7 + t = t > 14

6 + k > 5 = k > 1

12 ≤ r + 5 = r ≥ 7

w − (−4) < 8 = w < 4

Step-by-step explanation:

Hope this helps

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3 years ago