9514 1404 393
Answer:
C. 2x^2 -8x +3 +1/(x +4)
Step-by-step explanation:
Synthetic division is useful for finding the quotient. Or, you can use polynomial long division. The result is the same, but synthetic division requires less writing.
Answer:
34
Step-by-step explanation:
4x+36=6x-2
x=19
m=112
p=112
so they are both congruent that means angle N and Q are congruent
180-112= 68
68 and they are two angles so
68 divide 2 and u get 34
Angle N is 34 and angle Q is 34 too
Answer:
(a) 35.41166
(b) 29.15324
(c) 37.6595
(d) 56.70206
(e) From 1991 to 1998 the change in amount of money circulation decreases and from 1998 to 2011 the change in amount of money circulation increases.
Step-by-step explanation:
The given function is
![M(t)= 0.05022t^3 - 1.125t^2 + 37.511t + 247.4](https://tex.z-dn.net/?f=M%28t%29%3D%200.05022t%5E3%20-%201.125t%5E2%20%2B%2037.511t%20%2B%20247.4)
where t represents the number of years since 1990 and M(t) is in billions of dollars.
Differentiate with respect to t.
![M'(t)= 0.05022(3t^2) - 1.125(2t) + 37.511(1) + (0)](https://tex.z-dn.net/?f=M%27%28t%29%3D%200.05022%283t%5E2%29%20-%201.125%282t%29%20%2B%2037.511%281%29%20%2B%20%280%29)
.... (1)
M'(t) represents the rate of change of money in circulation, where t represents the number of years since 1990.
(a) For 1991, substitute t=1 in equation (1).
![M'(1)=0.15066(1)^2 - 2.25(1) + 37.511=35.41166](https://tex.z-dn.net/?f=M%27%281%29%3D0.15066%281%29%5E2%20-%202.25%281%29%20%2B%2037.511%3D35.41166)
(b) For 1998, substitute t=8 in equation (1).
![M'(8)=0.15066(8)^2 - 2.25(8) + 37.511=29.15324](https://tex.z-dn.net/?f=M%27%288%29%3D0.15066%288%29%5E2%20-%202.25%288%29%20%2B%2037.511%3D29.15324)
(c) For 2005, substitute t=15 in equation (1).
![M'(15)=0.15066(15)^2 - 2.25(15) + 37.511=37.6595](https://tex.z-dn.net/?f=M%27%2815%29%3D0.15066%2815%29%5E2%20-%202.25%2815%29%20%2B%2037.511%3D37.6595)
(d) For 2011, substitute t=21 in equation (1).
![M'(21)=0.15066(21)^2 - 2.25(21) + 37.511=56.70206](https://tex.z-dn.net/?f=M%27%2821%29%3D0.15066%2821%29%5E2%20-%202.25%2821%29%20%2B%2037.511%3D56.70206)
(e) From 1991 to 1998 the change in amount of money circulation decreases and from 1998 to 2011 the change in amount of money circulation increases.
€10 I think as you halve the £3 to get £1.50
Answer:
height=6cm
Step-by-step explanation:
height=volume/width×length
height=96cm³/8×2
height=96/16
height=6cm