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AnnZ [28]
2 years ago
12

Identify a possible first step using the elimination method to solve the system and then find the solution to the system.

Mathematics
1 answer:
olchik [2.2K]2 years ago
8 0

Answer:x = 1

y = 1

Step-by-step explanation:

The given system of simultaneous equations is expressed as

3x - 5y = - 2 - - - - - - - - - - - - 1

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

The first step is to decide on which variable to eliminate. Let us eliminate x. Then we would multiply both rows by numbers which would make the coefficients of x to be equal in both rows.

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

6x - 10y = - 4

6x + 3y = 9

Subtracting, it becomes

- 13y = - 13

y = - 13/- 13 = 1

The next step is to substitute y = 1 into any of the equations to determine x.

Substituting y = 1 into equation 2, it becomes

2x + 1 = 3

2x = 3 - 1 = 2

x = 2/2 = 1

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Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is
Liula [17]

Answer:

The variance in weight is statistically the same among Javier's and Linda's rats

The null hypothesis will be accepted because the P-value (0.53 ) > ∝ ( level of significance )

Step-by-step explanation:

considering the null hypothesis that there is no difference between the weights of the rats, we will test the weight gain of the rats at 10% significance level with the use of Ti-83 calculator

The results from the One- way ANOVA  ( Numerator )

with the use of Ti-83 calculator

F = .66853

p = .53054

Factor

df = 2  ( degree of freedom )

SS = 23.212

MS = 11.606

Results from  One-way Anova ( denominator )

Ms = 11.606

Error

df = 12 ( degree of freedom )

SS = 208.324

MS = 17.3603

Sxp = 4.16657

where : test statistic = 0.6685

             p-value = 0.53

             level of significance ( ∝ ) = 0.10

The null hypothesis will be accepted because the P-value (0.53 ) > ∝

where Null hypothesis H0 = ∪1 = ∪2 = ∪3

hence The variance in weight is statistically the same among Javier's and Linda's rats

7 0
1 year ago
Logan can read at a rate of 2/3 page per minute. At that rate, how many pages can he read in 2 hours?
Anon25 [30]

Answer:

240- 360

Step-by-step explanation:

You have to find out how many minutes in an hour which is 60. Then multiply it by 2 for 2 hours to get 120. Then you multiply 2x120 to get 240. Then you multiply 3x120 to get 360.

I'm not sure if this is correct but this is how I would go about it. :)

7 0
2 years ago
Aro diagrams his river rafting trip, estimating the time it will take him to paddle upstream against the current, and then back
eduard

Answer:

Upstream

5.2=(x-y)5

Downstream

5.2=(x+y)2.5

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is the measurement of N?<br><br>A) 23° <br><br>B) 45° <br><br>C) 73° <br><br>D) 81°
alina1380 [7]

D) 81°

explanation:

90°-9° =81°

5 0
2 years ago
Read 2 more answers
Consider the function represented by 9x + 3y= 12 with x as the independent variable. How can this function be written
Elena-2011 [213]

Answer: f(x) = -3x + 4

Step-by-step explanation:

The function is represented by

9x + 3y= 12

This is a linear equation with x as the independent variable. This means that if x is the independent variable, the y is the dependent variable. The values of y depends on the values of x. In order to represent the function, 9x + 3y= 12, we would rearrange the function such that y stands alone on the left hand side of the equation. This becomes

9x + 3y= 12

Subtracting 9x from both sides,

9x -9x + 3y = 12 - 9x

3y = 12-9x

Dividing the lefthand side and right hand side of the equation by 3, it becomes

3y/3 = (12-9x)/3

y= -3x + 4

using function notation,

y = f(x) = -3x + 4

8 0
2 years ago
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