The solution of the system can be x - 3y = 4 only if both the equations can be simplified to x - 3y = 4.
This will mean that both the equations will result in the same line which is x - 3y = 4 and thus have infinitely many solutions.
Second equation is:
Qx - 6y = 8
Taking 2 common we get:
(Q/2)x - 3y = 4
Comparing this equation to x- 3y = 4, we can say that
Q/2 = 1
So,
Q = 2
Therefore, the second equation will be:
2x - 6y = 8
Answer:
The statement makes conclusions about the proportion of citizens of the United States of America with respect to a particular opinion. These conclusions or inferences are obtained from the statistical analysis of a sample of said citizens, assuming a probabilistic distribution for the variable of interest (proportion). This type of analysis is part of the interval estimation theme that is part of the statistical inference or mathematical statistics.
Step-by-step explanation:
ABC = 408
C + 7 = B
A + 5 = B
B - 7 + B - 5 + B = 408
3B - 12 = 408
+ 12 = +12
3B = 420
/3 = /3
B = 120
A = 115
C = 113
The answer is A = 115, Abel has $ 115
Answer:
Shrink:
a=1/4
a=0.3
Stretch:
a=60
a=2.5
a=1.1
Step-by-step explanation:
Split the second term 7x^2 - 8x - 12 into two terms
7x^2 + 6x - 14x - 12
Factor out common terms in the first two terms, then in the last two terms
x(7x + 6) - 2(7x + 6)
Factor out the common term; 7x + 6
<u>(7x + 6)(x - 2) </u>