Answer:
32
Step-by-step explanation:
substitute the given values of a, b and c into the expression:
b² - 2ac = 4² - (2 x 4 x -2)
= 16 - (-16)
= 16 + 16
= 32
Answer:
Option B.
Step-by-step explanation:
It is given that a graph titled Courses Completed versus Remaining Credits Needed to Graduate has courses completed on the x-axis and Credits need to graduate on the y-axis.
Points plotted are (4, 110), (8, 76), (16, 63), (20, 53), (24, 33).
Since, x-axis represents the courses completed, therefore the input, or independent variable is courses completed.
Since, y-axis represents the Credits need to graduate, therefore the output, or dependent variable is Credits need to graduate.
Therefore, the correct option is B.
A=number of seats in section A
B=number of seats in section B
C=number of seats in section C
We can suggest this system of equations:
A+B+C=55,000
A=B+C ⇒A-B-C=0
28A+16B+12C=1,158,000
We solve this system of equations by Gauss Method.
1 1 1 55,000
1 -1 -1 0
28 16 12 1,158,000
1 1 1 55,000
0 -2 -2 -55,000 (R₂-R₁)
0 12 16 382,000 (28R₁-R₂)
1 1 1 55,000
0 -2 -2 -55,000
0 0 4 52,000 (6R₂+R₃)
Therefore:
4C=52,000
C=52,000/4
C=13,000
-2B-2(13,000)=-55,000
-2B-26,000=-55,000
-2B=-55,000+26,000
-2B=-29,000
B=-29,000 / -2
B=14,500.
A + 14,500+13,000=55,000
A+27,500=55,000
A=55,000-27,500
A=27,500.
Answer: there are 27,500 seats in section A, 14,500 seats in section B and 13,000 seats in section C.
