I think you meant to say
and not "4 times y" on the right side (which would lead to a complex value for y when x = 0). Note that when x = 0, the equation reduces to ln(y) = 0, so that y = 1.
Implicitly differentiating both sides with respect to x, taking y = y(x), and solving for dy/dx gives
Note that when x = 0 and y = 1, we have dy/dx = 3.
Differentiate both sides again with respect to x :
No need to simplify; just plug in x = 0, y = 1, and dy/dx = 3 to get
C. 19.42% because you subtract 389.85 from 314.15 which equals 75.7. So then set it up like an algebraic equation. 389.85x=75.7 divide 75.7 by 389.85 to find the decimal. Then you have to move the decimal to the right two places, since it is a percentage. And then round your answer, so c. 19.42% is your answer. Hope this helped! :)
Answer: [-1/8, infinity) , {x | X greater than or equal to -1/8}
Step-by-step explanation:
Domain is what x can be. Thus, in the function f(x), we place limits such as x cannot make the square root a negative number because then it would not be a real number. Thus 8x+4-3 can be simplified to 8x+1. Setting this to 0, we get 8x+1=0 which solves out to x cannot equal -1/8. Thus, x can equal and be greater than -1/8.
I believe it should just be 10m
Answer:
1: 75
Step-by-step explanation:
20cm : 15m
Convert meters to cm
1 meter = 100 cm
15m = 15 x 100 = 1500 cm
20cm:1500cm
Divide both sides of the ratio by 20
=> 1 : 1500/20 = 1: 75
