Answer:
The third term is 11.
The first negative term is the fifth term.
Step-by-step explanation:
If the nth term of the sequence is given by the expression 20-n^2, to find the third term, we just need to use the value of n = 3 in the expression:
20 - (3)^2 = 20 - 9 = 11.
To find which term is the first to have a negative value, we can solve the inequation 20 - n^2 < 0:
20 - n^2 < 0
n^2 > 20
n > 4.47
The first term to have a negative value is the fifth term:
20 - 5^2 = 20 - 25 = -5
Answer:
9:5
Step-by-step explanation:
- 112 - 40 = 72. 112 represents the total time, but you are comparing music to commercials, so you have to subtract the commercial time from the total time.
- Find the GCF of 72 and 40, which is 8.
- Divide 72 and 40. The simplified ratio is 9:5.
9514 1404 393
Answer:
22/21
Step-by-step explanation:
Taking the derivative, we have ...
2x·dx +2y²·dx +4xy·dy +3·dy = 0
dx(2x +2y²) +dy(4xy+3) = 0
At the given point, this is ...
dx(2·2 +2·(-3)²) +dy(4·2·(-3) +3) = 0
22dx -21dy = 0
dy/dx = 22/21
The slope of the tangent at the point of interest is 22/21.
0.25x² + 8.5 - 17 = 0
1)
a = 0.25
b = 8.5
c = -17
2)
- 8.5 ± √(8.5)²-4(0.25) (-17)
------------------------------------------
2(0.25)
3)
-34 ± √1428
----------------------
2
4)
-35.894 and 35.894
Answer:
d
Step-by-step explanation:the line from the graph goes down from the original point
