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Debora [2.8K]
3 years ago
10

Prove or give a counterexample:

Mathematics
1 answer:
natima [27]3 years ago
6 0

Answer: Although A and AT have the same eigenvalues, they may actually have different eigenvectors for that particular eigenvalue. Therefore A and AT have at least one eigenvector that aren't in common.

Step-by-step explanation:

These two attachment explains the provings and counterexamples briefly and simply

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At the ice cream shoppe ,one banana split and five milkshakes cost $16.24.If three banana splits and two milkshakes cost $15.05,
34kurt

Answer: the cost of a milkshake is $2.59

Step-by-step explanation:

Let x represent the cost of a banana split.

Let y represent the cost of a milkshake.

At the ice cream shop, one banana split and five milkshakes cost $16.24. This is expressed as

x + 5y = 16.24- - - - - - - - - - - - -1

If three banana splits and two milkshakes cost $15.05. This is expressed as

3x + 2y = 15.05- - - - - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 1, it becomes

3x + 15y = 48.72

3x + 2y = 15.05

Subtracting, it becomes

13y = 33.67

y = 33.67/13

y = 2.59

Substituting y = 2.59 into equation 1, it becomes

x + 5 × 2.59 = 16.24

x + 12.95 = 16.24

x = 16.24 - 12.95

x = 3.29

6 0
3 years ago
Jake monthly expenses include a $60 cable bill, a $200 car payment and $120 for car insurance. If he brings home $525 per month,
Anit [1.1K]

Answer:

he would have 145 dallors after baying his bills


Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
Solve for x in the equation x 2 - 4 x - 9 = 29.
Marizza181 [45]

Answer:

x= -19

Step-by-step explanation:

2x-4x-9=29

-2x=29+9

x=38/-2

= -19

5 0
3 years ago
Read 2 more answers
A train from Portland, Oregon, to Los Angeles, California, travels at an average speed of 60 miles per hour and covers a distanc
seropon [69]

Answer:

The train need to leave Portland at 03:27 am

Step-by-step explanation:

step 1

Find out how long it takes the train to travel from Portland, Oregon, to Los Angeles, California

Remember that

The speed is equal to divide the distance by the time

so

The time is equal to divide the distance by the speed

Let

s ---> the speed in miles per hour

d ---> the distance in miles

t ---> the time in hours

t=\frac{d}{s}

we have

d=963\ mi

s=60\ mi/h

substitute

t=\frac{963}{60}=16.05\ hours

step 2

Adds 30 minutes (time it takes to get from the train station to her aunt's house)

Remember that

30\ minutes=0.50\ hours

16.05+0.50=16.55\ hours

Convert to minutes

16.55\ h=16.55(60)\ min=993\ min

step 3

Remember that

8 p.m=20:00\ hrs

Convert to minutes

20(60)=1,200\ min

Subtract 993 minutes from 1,200 minutes

1,200-993=207\ min

Convert to hours+minutes

207\ min=207/60=3.45\ hours

0.45\ h=0.45(60)=27\ min

so

3\ h+27\ min

00:00 + 03:27=03:27\ am

therefore

The train need to leave Portland at 03:27 am

8 0
3 years ago
A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
zysi [14]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
8 0
3 years ago
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