9514 1404 393
Answer:
B. F(x) = 2(x -4)² +4
Step-by-step explanation:
The graph opens upward, so has a positive leading coefficient. (Eliminates choices A and C.)
The graph is translated right 4 units, so x in x² has been replaced by (x-4). (Eliminates choice D.)
The transformed graph is of the equation ...
F(x) = 2(x -4)² +4
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.
Would it be 50 since they look the same size & 43+7=50 & 50-7=43
Answer:
48 different houses can be designed from these plans.
Step-by-step explanation:
There are four options:
O1 - O2 - O3 - O4
O1 is the number of different living rooms. So O1 = 3.
O2 is the number of different bedroom configurations. So O2 = 4.
O3 is the number of different garage styles. So O3 = 2.
O4 is the number of different outside configurations. So O4 = 2.
In all,
48 different houses can be designed from these plans.
Answer:
Step-by-step explanation:
Let the number of hours Nick does the job alone to be x - 3 hours
Hence, in 1 hour, Nick has done 1/x - 3
Together they complete the job in 9 hours
Hence, let's represent the job as 1
9/x + 9/x - 3 = 1
Multiply through by (x)(x-3)
9(x- 3) + 9(x) = 1
9x - 27 + 9x = (x)(x-3)
-27 = x² - 3x
x² - 3x +27 = 0