Answer:
30. -5 , -2 , -2, 3 , 8
31. -7, -6, -6, 5, 8
32. -26, -15, -12, -12, 10
33. -34, -17, -11, 20, 21
No, the system is inconsistent.
Step-by-step explanation:
If the last column is a pivot column, then that row gives an equation that looks something like 0x+0y+0z=1 , meaning , 0=1. Clearly, this is false.
So, the system of linear equations is inconsistent.
Answer:
a. 4 : 1
b. 2 students
c. 3 : 1
Step-by-step explanation:
a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:
12 : 3
Take it to the lowest form by dividing both sides by 3:
= 4 : 1
b. There were 4 students with a D grade and 8 with a B. The ratio is:
= 4 : 8
Taken to the lowest form that would be:
= 1 : 2
This means that for every student receiving a D, 2 students received an A.
c. 12 students received a C and 4 students received a D. That ratio is therefore:
= 12 : 4
Take to the lowest form by dividing both sides by 4:
= 3 : 1
Answer:
(-9/2,3/2)
Step-by-step explanation:
x coordinate of mid point=(x1+x2)/2
y coordinate of mid point=(y1+y2)/2
Answer:
206,762
Step-by-step explanation:
206,000 * 0.037 = 762.2
762.2 + 206,000 = 206,762.2, rounded to 206762