Differentiate both sides wrt 
:
By the chain rule, we get
Solve for 
:
Notice how on both sides of the equation there is one coefficient (number being multiplied by x) and a constant (just a plain number). You want all constants to be on one side and all coefficients on the other. He’s how do to that:
2x+14=-21-5
I am choosing that all constants will be on the right side, so I will do the inverse operation of any constant on the left side to remove it. Here, a constant on the left side is 14. I will subtract 14 from both sides of the equation. Positive 14 minus 14 is zero, so it cancels out and removes it.
2x+14-14 = -21-5x
2x = -35-5x
See how the 14 is now gone? The equation looks much simpler now. Okay next, you can see that there is a coefficient on the “constant side” that I’ve chosen, so I am going to remove that. Negative 5 plus positive 5 equals zero. Do this on both sides of the equation.
2x+5x = -35-5x+5x
7x = -35
Now the equation is just two numbers. All that is left to do is divide by the last coefficient, 7, in this case.
7x/7 = -35/7
x = -5
If Sonya already has 140 beads, she needs 60 beads in order to have a total number of 200 beads. You have to find how many bags (that hold 10 beads) are needed to add up to 60.
140 + 10x = 200
10x = 60
x = 6
Sonya needs 6 bags
The circumference of circle with a radius of 63mm is 395.84
I hope this helps!
Answer:
$51, 200
Step-by-step explanation:
First is to find the increase of tuition
$3,200 × .8 = $2560
then subtract the year.
2020-2000=20
lastly multiply the year and the increase of tuition to know the final answer
$2560 × 20 = $51,200
