We know that
A system of three linear equations can have one solution, an infinite number of solutions, or no solution. Systems of equations can be classified by the number of solutions.
If a system has at least one solution, it is said to be consistent
If a consistent system has an infinite number of solutions, it is dependent. When you graph the equations, both equations represent the same line
in this problem we have
<span>x + y + z = 6---------> equation 1
</span><span>3x + 3y + 3z = 18------> equation 2
</span><span>-2x − 2y − 2z = -12--------> equation 3
if in the equation 2 divides by 3 both sides
</span>3x + 3y + 3z = 18-------> x + y + z = 6------> equation 2 is equal to equation 1
if in the equation 3 divides by -2 both sides
-2x − 2y − 2z = -12-------> x + y + z = 6------> equation 3 is equal to equation 1
so
equation 1, equation 2 and equation 3 are the same
therefore
<span>
the system of equations has infinite solutions</span>
Is a <span>
Consistent and Dependent System</span><span>
</span>
2x + 18 and 4x - 14 are corresponding angles...they are equal
2x + 18 = 4x - 14
2x - 4x = -14 - 18
-2x = - 32
x = -32/-2
x = 16
so the measure of 4x - 14 = 4(16) - 14 = 64 - 14 = 50
and 4x - 14 and y are supplementary angles that add up to 180 degrees
so 50 + y = 180.....y = 180 - 50....y = 130 <==
To determine the probability that both people chosen are females, we will use the rule of multiplication.
Let event A = the event that the first person chosen is female; and let B = the event that the second person is female.
To start, it is given that there are 10 students, 5 of them are females. Therefore, P(A) = 5/10
After the first selection, there are 9 students, 4 of them are females. Therefore, P(A|B) = 4/9
Based on the rule of multiplication:
P(A∩B) = P(A) * P(A|B)
P(A∩B) = (5/10) (4/9)
P(A∩B) = 20/90
P(A∩B) = 2/9
The probability that both people chosen are females is 2/9.
The answer is mode as it is the only one that doesn’t need to contain numbers. The mode is the one with the most of the same thing. So in this case it’s the pizza
I hope you understand it now x
The answer would be 0,3,8,15,24,35,48,63
