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LuckyWell [14K]
3 years ago
5

1. Lisa is working with the system of equations x+2y=7 and 2x−5y=5. She multiplies the first equation by 2 and then subtracts th

e second equation to find 9y=9, telling her that y=1. Lisa then finds that x=5. Thinking about this procedure, Lisa wonders: There are lots of ways I could go about solving this problem. I could add 5 times the first equation and twice the second or I could multiply the first equation by -2 and add the second. I seem to find that there is only one solution to the two equations but I wonder if I will get the same solution if I use a different method? A. What is the answer to Lisa's question? Explain. B. Does the answer to (a) change if we have a system of two equations in two unknowns with no solutions? What if there are infinitely many solutions? 2. Graph (Links to an external site.) the following linear system. What is the solution? y = 2x + 4 y = 3x + 2

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

A. Yes

B. No

C. No

D. The graph of the equations is attached

x = 2

Step-by-step explanation:

A. Yes, she will get the same solution

Given the solution is based on the two solutions, the solution will be the same for all algebraic methods used

B. No, the answer in A does not change

A system of two equations in two unknowns with no solution is an inconsistent system of equations and there should be no solutions for all correct algebraic methods used

C. No, the answer in A does not change

If there are infinitely many solutions, there will be infinitely many solutions for all correct algebraic methods used

D. The graph of the equations;

y = 2·x + 4...(1) and y = 3·x + 2.....(2) is attached

Subtracting equation (1) from equation (2), we have;

3·x + 2 - (2·x + 4) = y - y = 0

x - 2 = 0

∴ x = 2

The graphs of the two equations also intersect at x = 2.

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Quadrilateral wxyz is a paralelogram if w=50<br> what is wzy
slega [8]
It means different digits.
W=50 would count as one of the digits.
Now you have to figure out what “XYZ” is.
8 0
2 years ago
Rachel earned $34 in 4 hours at her job today. She wants to know how much she could earn (e) tomorrow if she works 10 hours at t
Contact [7]
$34 divided by 4 = $8.5 per hour.
$8.5 Times 10 hours = $85
So she would earn $85
6 0
3 years ago
"India is the second most populous country in the world, with a population of over 1 billion people. Although the government has
Leto [7]

Answer:

0.54,0.46,0.43

Step-by-step explanation:

Given that India is the second most populous country in the world, with a population of over 1 billion people.

The pdf of household size say X in India varies from 1 to 8.

The distribution is shown as follows

X       1      2     3        4      5       6        7      8       Total

P  0.02  0.09  0.18  0.25  0.20  0.12  0.08  0.06    1.00

a) the probability that there are less than 5 members in a household in India

=P(X

=P(1 to 4) = 0.54

b.  the probability that there are 5 or more members in a typical household

in India

=P(X\geq 5) = P(5 to 8)\\\\= =0.46

c) the probability that the number of members in a typical household in India is strictly between 2 and 5

=P(2

4 0
3 years ago
352 divided by 2 in long division please show work
baherus [9]

Step 1:

Start by setting it up with the divisor 2 on the left side and the dividend 352 on the right side like this:

2 ⟌ 3 5 2

Step 2:

The divisor (2) goes into the first digit of the dividend (3), 1 time(s). Therefore, put 1 on top:

1

2 ⟌ 3 5 2

Step 3:

Multiply the divisor by the result in the previous step (2 x 1 = 2) and write that answer below the dividend.

1

2 ⟌ 3 5 2

2

Step 4:

Subtract the result in the previous step from the first digit of the dividend (3 - 2 = 1) and write the answer below.

1

2 ⟌ 3 5 2

- 2

1

Step 5:

Move down the 2nd digit of the dividend (5) like this:

1

2 ⟌ 3 5 2

- 2

1 5

Step 6:

The divisor (2) goes into the bottom number (15), 7 time(s). Therefore, put 7 on top:

1 7

2 ⟌ 3 5 2

- 2

1 5

Step 7:

Multiply the divisor by the result in the previous step (2 x 7 = 14) and write that answer at the bottom:

1 7

2 ⟌ 3 5 2

- 2

1 5

1 4

Step 8:

Subtract the result in the previous step from the number written above it. (15 - 14 = 1) and write the answer at the bottom.

1 7

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1

Step 9:

Move down the last digit of the dividend (2) like this:

1 7

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

Step 10:

The divisor (2) goes into the bottom number (12), 6 time(s). Therefore put 6 on top:

1 7 6

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

Step 11:

Multiply the divisor by the result in the previous step (2 x 6 = 12) and write the answer at the bottom:

1 7 6

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

1 2

Step 12:

Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.

1 7 6

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

- 1 2

0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 352 divided by 2 calculated using Long Division is:

176

6 0
3 years ago
Read 2 more answers
Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall a
kherson [118]

Answer:

Yes, the background color appear to have an effect on the variation of word recall​ scores

Step-by-step explanation:

Given that results from scores on a test of word recall are given are as follows:

Two test scores have independent means and having normal distribution.

H_0: Means are equal\\H_a: Means are not equal

(Two tailed test at 5% significance level)

Group   Group One     Group Two  

Mean    15.1400 12.4200

SD              5.9100 5.4200

SEM     0.9990 0.8910

N                35       37      

The mean of Group One minus Group Two equals 2.7200

standard error of difference = 1.335

Hence t statistic = 2.0369

p value = 0.0454

Since p <0.05 we reject null hypothesis

Yes, the background color appear to have an effect on the variation of word recall​ scores

5 0
3 years ago
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