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4 years ago

Elimination Method 2x-4y=12 -x+2y=-6

Mathematics

1 answer:

Readme [11.4K]4 years ago

5 0

Answer:

The given system has INFINITE NUMBER OF SOLUTIONS.

Step-by-step explanation:

Here, the given system of equation is given as:

2 x - 4 y = 12 ... (1)

- x + 2 y = -6 ...... (2)

Now, to use the ELIMINATION METHOD we either need to cancel out x coefficients or the y coefficient.

Now, to cancel out the x- coefficient in both the equations:

Multiply equation (2) with 2 and add with (1), we get:

2 x - 2x + 4 y - 4 y = 12 - 12

or, 0 = 0

Hence, the given system has INFINITE NUMBER OF SOLUTIONS.

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What is 4/9 and 17/18 renamed using least common denominator?

dusya [7]

Answer:

8/18 & 17/18 is your answer.

Step-by-step explanation:

Find common denominators for both (you cannot simplify). Note that what you do to the denominator, you must do to the numerator. Find multiples of each number:

9: 9, 18

18: 18

The first least common denominator you get is 18. Solve:

(4/9)(2/2) = 8/18

8/18 & 17/18 is your answer.

3 0

3 years ago

Please help!Which expression is equal to ....

goblinko [34]

Notice how the x-2 on the numerator and denominator cancel out, as well as the x+1. You are left with 8(x+2)/4 which is 2(x+2) which results in your answer, B, or 2x+4.

6 0

4 years ago

What is the perimeter

Yuri [45]

Answer:

the answer is 10 6/3 20/10 1/2

Step-by-step explanation:

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3 years ago

A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below

jok3333 [9.3K]

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

<u>Step(ii)</u>:-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

$Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} } } }$

$Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2} }{25 }+\frac{ (10)^{2} }{ 30} } }$

Z = $\frac{-10}{2.081} = - 4.805$

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

<u>Conclusion:</u>-

There is significant difference between in the mean number of times men and women send a Twitter message in a day

7 0

3 years ago

In class of 30 students 14 are boys. If 2 boys drop out of the class and 2 girls are added what fraction of the class will be bo

Alecsey [184]

30 students.....14 are boys...that means (30 - 14) = 16 are girls

if 2 boys are dropped......14 - 2 = 12 boys
and 2 girls are added......16 + 2 = 18 girls

fraction of the class that are boys is : 12/30 which reduces to 2/5 <==

5 0

4 years ago

Read 2 more answers