Solve the given system using the method of Example 3.25. x1 − x2 = 1 3x1 + x2 = 3 x = 1 0 Correct: Your answer is correct.
Answers
Answer:
Step-by-step explanation:
The question is incomplete as the method is not given.
However, the question can still be solved.
Given
Make xi the subject in the first equation
Substitute 1 + x2 for xi in the second equation
Open bracket
Collect Like Terms
Solve for x2
Recall that:
Final answer:
The solution to the given system of equations is obtained through substitution. The process involves replacing a variable in one equation with an expression from the other. The final solutions are x1=1 and x2=0.
Explanation:
The system of equations in question is:
1) x1 - x2 = 1
2) 3x1 + x2 = 3
The method to solve this system is through substitution or elimination. First, rewrite the first equation x1 = x2 + 1. This allows us to substitute x1 - 1 for x2 in the second equation, yielding 3(x2 + 1) + x2 = 3, simplifying to 4x2 + 3 = 3. Solving for x2, we get x2 = 0. Substituting x2 into x1 = x2 + 1, we conclude that x1 = 1. Thus, the solution to the system is x1 = 1, x2 = 0.
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ree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean μ = 119 inches and standard deviation σ = 17 inches. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least four decimal places. (a) What proportion of trees are more than 130 inches tall? (b) What proportion of trees are less than 90 inches tall? (c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall? Part: 0 / 30 of 3 Parts Complete Part 1 of 3 What proportion of trees are more than 130 inches tall? The proportion of trees that are more than 130 inches tall is .
Suppose you were exploring the hypothesis that there is a relationship between parents’ and children’s party identification. Would we be correct in inferring that such a relationship also exists in the population? Explain your answer. What is the probability that any relationship we found is due to pure chance?
Answers
Answer: 60%
Is NOT RIGHT
Step-by-step explanation:
I don’t know
Final answer:
To calculate the percentage of alcohol in the mixture, multiply the percentage alcohol by the volume of each solution, add the alcohol content of both solutions, and divide by the total volume of the mixture.
Explanation:
When equal amounts of a 50% alcohol solution and a 20% alcohol solution are mixed, the resulting percentage of alcohol in the mixture can be calculated using the following steps:
- Calculate the alcohol content of each solution by multiplying the percentage alcohol by the volume in liters. The 50% alcohol solution has a content of 0.5 x volume, and the 20% alcohol solution has a content of 0.2 x volume.
- Add the alcohol content of both solutions together to get the total amount of alcohol in the mixture.
- Divide the total amount of alcohol by the total volume of the mixture to get the percentage of alcohol in the mixture.
For example, if we mix 1 liter of the 50% solution with 1 liter of the 20% solution, we would have a total volume of 2 liters. The alcohol content of the 50% solution would be 0.5 x 1 liter = 0.5 liters, and the alcohol content of the 20% solution would be 0.2 x 1 liter = 0.2 liters. Adding these together, we have a total alcohol content of 0.5 + 0.2 = 0.7 liters. Dividing this by the total volume of 2 liters gives us a percentage of 0.7/2 = 0.35, or 35% alcohol in the mixture.
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Answers
Steps to solve:
2(x - 6) = 3(x + 9)
~Distribute both sides
2x - 12 = 3x + 27
~Add 12 to both sides
2x = 3x + 39
~Subtract 3x to both sides
-x = 39
~Divide both sides by -1
x = -39
Best of Luck!
Answer:
2×-12=3×+27
2×-3×=27+12
-×=39
Step-by-step explanation:
Grouping like terms
then simplify to get x
Answers
> is more than
7/7 would be 1
OA) 62.8 in?
B) 15.7 in?
C) 78.5 in2
125.7 in2
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Answer:
- The lateral surface can be thought of as the crossectional area of the surface integral over dA such that
Answer: 62.8
Step-by-step explanation: took the test, hope this helps (;
Answers
Answer:
31
Step-by-step explanation:
5z-25=180
5z=180-25
5z=155
z=31
Answer: Im pretty sure its 155
Step-by-step explanation:
-5x + 4y = -13
A. (0, -1)
B. (8,0)
C. (1, -7/8)
D. (2, -3/4)
Answers
Answer:
D. (2, -3/4)
Step-by-step explanation:
Using the substitution method:
-5x+4(1/8x-1)=-13
-5x+0.5x-4=-13
-4.5x/4.5=-9/4.5
-x=-2
x=2
You are supposed to replace 2 in the first equation now but as there is no other option with x value of 2 D is the answer.
If continued:
-5(2)+4y=-13
-10+4y=-13
4y=-3
y=-3/4