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melomori [17]
2 years ago
12

For each part below, give an example of a linear system of

Mathematics
1 answer:
N76 [4]2 years ago
7 0

Answer:

a)g: 3x + 4y = 10   b) a:x+y = 5           c) c: 3x + 4y = 10

h: 6x + 8y = 5         b:2x + 3y = 8         d: 6x + 8y = 5

Step-by-step explanation:

a) Has no solution

g: 3x + 4y = 10

h: 6x + 8y = 5

Above Equations  gives  you  parallel lines refer attachment

b) has exactly one solution

a:x+y = 5

b:2x + 3y = 8

Above Equations  gives  you  intersecting lines refer attachment

c) has infinitely many solutions

c: 3x + 4y = 10

d: 6x + 8y = 5

Above Equations  gives  you  collinear lines refer attachment

i) if we add   x + 2y = 1 to equation x + y = 5 to make an inconsistent system.

ii) if we add   x + 2y = 3 to equation x + y = 5 to create infinitely system.

iii) if we add  x + 4y = 1 to equation x + y = 5 to create infinitely system.

iv) if we add to x + y =5 equation x + y = 5  to change the unique solution you had  to a different unique solution

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PROBLABILITY!!!
BigorU [14]

Based on the game rules of randomly picking a card and multiplying it by the roll from a number cube, the following are true:

  1. Probability is 3/8 or 37.5%.
  2. To win 25% of the time, player needs to get 32 or higher.
  3. Probability of a score of 36 or higher in 4 attempts is 1/1,1296.
  4. Teacher should remind everyone that all numbers except only 24 and 30 can appear equally.

<h3>How can the data be represented?</h3>

There are 6 sides to dice and 4 cards. The sample space is:

Dice             Card            Product        

1                 5                         5

1                 6                         6

1                 7                         7

1                 8                         8

2                 5                         10

2                 6                         12

2                 7                         14

2                 8                         16  

3                 5                         15

3                 6                         18

3                 7                         21

3                 8                         24

4                 5                         20

4                 6                         24

4                 7                         28

4                 8                         32

5                 5                         25

5                 6                         30

5                  7                         35

5                  8                         40

6                 5                         30                        

6                 6                         36

6                 7                         42

6                 8                         48

<u />

Frequency table

Product                     Frequency

5                                      1

6                                      1

7                                      1

8                                      1

10                                      1

12                                      1

14                                      1

16                                      1

15                                      1

18                                      1

21                                      1

24                                      2

20                                      1

28                                      1

30                                      2

32                                      1

25                                      1

35                                      1

40                                      1

36                                      1

42                                      1

<u>48                                      1</u>

<u>Total                                24</u>

The frequency table shows that to get 28 or more, a person will have a relative frequency of:

= 1 + 2 + 1 + 1 + 1 + 1 + 1 + 1

= 9

Probability is:

= 9 / 24

= 3/8

= 37.5%

<h3>What product does a player need to win 25% of the time?</h3>

The number of products required to win 25% of the time is:

= 25% x 24

= 6

To find the winning number, count down from the highest product 6 times to get 32.

<h3 /><h3>How can the larger prize be won?</h3>

The probability of getting 36 or higher is:

= ∑(Probabability of picking 36 and above numbers)

= 1 / 24 + 1/24 + 1/24 + 1/24

= 1 / 6

The probability of repeating this 4 times is:

= 1 / 6 x 1 / 6 x 1/ 6 x 1 / 6

= 1 / 1,296

= 0.0007716

Find out more on frequency tables at brainly.com/question/2002190.

#SPJ1

8 0
1 year ago
Evaluate the double integral i=∫∫dxyda where d is the triangular region with vertices (0,0),(4,0),(0,4).
mario62 [17]
I=\displaystyle\iint_D\mathrm dA=\int_{x=0}^{x=4}\int_{y=0}^{y=4-x}\mathrm dy\,\mathrm dx
I=\displaystyle\int_{x=0}^{x=4}(4-x)\,\mathrm dx
I=8

To verify this, we can simply find the area of the triangle using the well-known formula \dfrac12bh, where b and h are the base and height, respectively of the triangular region D. We have b=h=4, so the area is \dfrac{4^2}2=8, as expected.
8 0
3 years ago
After filling a gas tank the odometer read 39.007.2 after the next filling it read 39.469.2 it took 17.5 gal to fill the tank, h
Nastasia [14]
(39,469.2 - 39,007.2)/17.5 will give you miles per gallon
The total miles driven were 462 miles/17.5 gal = 26.4 miles per gallon
3 0
3 years ago
Tiana looks at a map to find the best route from her house to her friend's house. the map has a scale of 4 centimeters = 3 miles
Luden [163]

Answer: 6

Step-by-step explanation:

4 centimeters times what gives u 8 centimeters

8 0
3 years ago
Leo spent the same amount of time working on each of 5 different weight machines and then spent Two-thirds of an hour on the tre
Sidana [21]

Answer:

5x + 2/3 = 1 3/4 / Leo spent 13 minutes at each machine.

Step-by-step explanation:

There are 5 weight machines. Leo spent a equal amount of time at each weight machine, but we don't know how much time. (5x) We then learn that he spent 2/3 of his time on the treadmill. (5x + 2/3) Leo spent 1 3/4 hours at the gym. (5x + 2/3 = 1 3/4) Now that we have our equation, all that's left to do is solve for x. Change your fractions into numbers. (5x + 40 = 105) After solving for x, you will determine that Leo spent 13 minutes at each machine.

3 0
3 years ago
Read 2 more answers
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