Answer:
k=−0.8
Step-by-step explanation:
Start with the equation: 0.2(3k+1)=-0.4-(-0.2-0.1K)
Use distributive property on each side of the equation. For the left side, distribute 0.2 into 3k and 1, and for the right side, distribute -1 into -0.2 and -0.1k. (We use a -1 because the negative sign on the outside of the parenthesis is equivalent to -1)
(0.2)(3k) + (0.2)(1) = 0.6k + 0.2
(-1)(-0.2) + (-1)(-0.1k) = 0.2 + 0.1k
New equation: 0.6k + 0.2 = -0.4 + 0.2 + 0.1k
Now we can combine like terms on the right side. (-0.4 and 0.2)
0.6k + 0.2 = 0.1k - 0.2
Now to get rid of k on one side, we can subtract 0.1k from the right side.
(0.6k - 0.1k) + 0.2 = (0.1k - 0.1k) - 0.2
0.5k + 0.2 = -0.2
Now we need to get 0.5k by itself, so we'll subtract the 0.2 on both sides.
0.5k + (0.2 - 0.2) = (-0.2 - 0.2)
0.5k = -0.4
To get k by itself, we must divide both sides by 0.5.
(0.5k / 0.5) = (-0.4 / 0.5)
k = -0.8
Answer:
Option B
Step-by-step explanation:
Speed is distance moved per unit tine and is expressed as s=d/t
Making d the subject then
d=st
Where d is distance, s is speed and t is time taken in time.
Conversion
1 hour has 60 minutes hence 45 mins converted to hours will be 45/60=0.75
Substituting 0.75 hours for t and 170 mph for s then
d=0.75*170=127.5 miles due North
However, tge plane had initially moved 12.5 miles hence the relative distance due North will be 127.5-12.5=115 miles due North
Answer: D , p = n (800 - 450) - 3000
Step-by-step explanation: Firstly, you have to account for how much money Rafael is making off of each computer (800 - 450). That factor is then multiplied by the variable "n" which represents the amount of computers sold. Lastly, since this is an equation to calculate his monthly profits, you have to subtract the rent that he is paying ($3000) from the total profit that he made off of selling the computers. Therefore, giving you the equation
P (profit) = n (amount of computers sold) (800-450) - 3000 (rent).
Solve the equation for 1 and 5:
1^2 +4 = 1+4 = 5
5^2 + 4 = 25 +4 = 29
Find the difference:
29 -5 = 24
Find the difference of the X values: 5-1 = 4
Rate of change is the change in Y over the change in X:
The rate of change would be: 24/4 = 6
