Answer:
x =7
Step-by-step explanation:
2x+6 = 20
To solve this equation, you first need to subtract 6 from each side
2x+6-6 = 20-6
2x = 14
Then divide each side by 2
2x/2 = 14/2
x = 7
Answer:
Linear function
Step-by-step explanation:
Answer:
given that 
and that 
.
Step-by-step explanation:
The relation between the 
and the 
in this question is given by parametric equations (with 
as the parameter.)
Make use of the fact that:
.
Find 
and 
as follows:
![\begin{aligned} \frac{dx}{dt} &= \frac{d}{dt} [a\, (\cos(t) + \sin(t))] \\ &= a\, (-\sin(t) + \cos(t)) \\ &= a\, (\cos(t) - \sin(t))\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%26%3D%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5Ba%5C%2C%20%28%5Ccos%28t%29%20%2B%20%5Csin%28t%29%29%5D%20%5C%5C%20%26%3D%20a%5C%2C%20%28-%5Csin%28t%29%20%2B%20%5Ccos%28t%29%29%20%5C%5C%20%26%3D%20a%5C%2C%20%28%5Ccos%28t%29%20-%20%5Csin%28t%29%29%5Cend%7Baligned%7D)
.
as long as and .
![\begin{aligned} \frac{dy}{dt} &= \frac{d}{dt} [a\, (\sin(t) - \cos(t))] \\ &= a\, (\cos(t) - (-\sin(t))) \\ &= a\, (\cos(t) + \sin(t))\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5Cfrac%7Bdy%7D%7Bdt%7D%20%26%3D%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5Ba%5C%2C%20%28%5Csin%28t%29%20-%20%5Ccos%28t%29%29%5D%20%5C%5C%20%26%3D%20a%5C%2C%20%28%5Ccos%28t%29%20-%20%28-%5Csin%28t%29%29%29%20%5C%5C%20%26%3D%20a%5C%2C%20%28%5Ccos%28t%29%20%2B%20%5Csin%28t%29%29%5Cend%7Baligned%7D)
.
Calculate 
using the fact that 
. Assume that and :
.
Answer:
-3/5
-1/2
-0.4
0.6
4/5
Step-by-step explanation:
For this question I converted the fractions to decimals.
-3/5 = -0.6
-1/2 = -0.5
4/5 = 0.8
Start off with the negatives, as they are the lowest numbers. <em>The further they are from zero the lower they get.</em>
-0.6 (-3/5)
-0.5 (-1/2)
-0.4
Now there are only <em>2</em> positive numbers, so order them.
0.6
0.8 (4/5)
Put it all together:
-3/5
-1/2
-0.4
0.6
4/5
Each pound cost $3.32
p pounds would cost = p*3.32 = 3.32p
Total cost C = $3.32p
I hope this explains it.
