Answer:
Explanation:
This is the given system of equations:
A linear combination of the system is any equation formed by the algebraic addition of both equations, one or both multiplied by an arbitrary constant.
To prove that the given system has no solution you could multiply the first equation times 6 (to get rid of the fractions), multiply the second equation times - 1, and add the two results:
<u>1. First equation times 6:</u>
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<u>2. Second equation times - 1:</u>
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<u>3. Add the two new equations:</u>
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<u>4. Conclusion:</u>
Since 0 = 78 is false, no matter what the value of x and y are, the conclusion is that the system of equations has not solution.
The only choice that represents that same situation is the second one, 0 = 26. That is a possible linear combination that represents that the system of equations has no solutions.
In fact, you might calculate the exact factors by which you had to multiply each one of the original equations to get 0 = 26, but it is not necessary to tell that that option represents a possible linear combination for the given system of equations.
From home to the video store to the grocery store to the fast snacks and back to home would be B. 18
Answer: 24
Step-by-step explanation:
Answer for Question 1 is option 2
Answer for Question 2 is option 3
Answer for Question 3 is option 3
Step-by-step explanation:
For question 1 by plotting the two points we get the coordinates as (-2, 3) and (2, 1) where the x values are -2, 2 and the y values are 3, 1 respectively. By substituting values of x in the formula given we get that equation 2 satisfies the values of y as in the graph.
For question 2 the plotted line is split into two parts where one half is for values of x <2 and the other half is for values of x>2. By finding out the coordinates we get them as (2,-2), (1,-2.5) and (0,-3) for x<2 and by substituting the values of x in the formula we get option 3 as our answer.
For question 3 we need to find the value of y when x=3 and the first condition is only for values greater than 3 so we take the second condition and substitute the value of x=3 and we get the value of y as 5 so the answer is option 3
10 degrees Celsius is 50 degrees Fahrenheit.
The equation for C to F is below.
C(9/5)+32= F
Multiply C by 1.8 (or 9/5) then add 32.
10(9/5)+32= 50 F
