First find the slope, take derivative of both sides with respect to x.
2y dy/dx=3x^2+6x
solve for dy/dx
dy/dx=[3x^2+6x]/2y
plug in given vales of (1,2(
dy/dx=9/4
now you have everything you need to plug into point slope form
y-2=(9/4)(x-1)
answer is y=(9/4)x+(1/4)
The steps are duplicated.Then, first I will write the steps in the right form:
19 = 5x - 1
20 = 5x
4 = x
Now, I will write the steps with the justification
19 = 5x - 1.... start
20 = 5x ..... Reason: addtion property of equality (you get this by adding +1 to both sides of the previous equality)
4 = x .... Reason: division property of equality (you get this by dividing by 5 both sides of the previous equality)
x = Nick's age y = Sara's age
Nick is 8 years older than Sara, therefore
y = x - 8
Answer:
m = (3/4) n
Step-by-step explanation:
4m + 2n = 5n
The subtraction property of equality states that we can subtract 2n from both sides to isolate the m and its coefficient to get
4m = 3n
The division property of equality states that we can divide 4 from both sides to isolate only the m (we divide by 4 because anything divided by itself equals 1) to get
m = (3/4) n
Answer:
Gain in total is $8.5
loss is $3.75
Step-by-step explanation: