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>
<u />
<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.
Answer:
2.66 and 4.34
Step-by-step explanation:
To evaluate, substitute the values of y and solve.
So, when y =-2
0.67y + 4 = -1.34 + 4 = 2.66
And when y = 2
0.67y + 4 = 1.34 + 4 = 4.34
Hope this helps.
Answer: Option C. 8,064 pounds
Solution:
Unit weight: U=63 pounds/foot^3
Total Weight: W=?
W=U*V
Volume: V
Length: l=8 feet
Width: w=4 feet
Height: h=4 feet
V=l*w*h
Replacing the knwon values in the formula above:
V=(8 feet)*(4 feet)*(4 feet)
V=128 feet^3
Replacing in the formula of total Weight:
W=U*V
W=(63 pounds/foot^3)*(128 feet^3)
W=8,064 pounds
Answer:
The probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.
Step-by-step explanation:
Let us suppose that,
R = Republicans
D = Democrats
I = Independents.
X = a member favors some type of corporate tax reform.
The information provided is:
P (R) = 0.27
P (D) = 0.56
P (I) = 0.17
P (X|R) = 0.34
P (X|D) = 0.41
P (X|I) = 0.25.
Compute the probability that a randomly selected member favors some type of corporate tax reform as follows:
The probability that a randomly selected member favors some type of corporate tax reform is P (X) = 0.3639.
Compute the probability Democrat is selected given that this member favors some type of corporate tax reform as follows:
Thus, the probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.
Answer:
This means that you should do what is possible within parentheses first, then exponents, then multiplication and division (from left to right), and then addition and subtraction (from left to right).
Step-by-step explanation:
