To work this one out, you want to divide 10 1/2 by 3/4 right? So to do that, you want to change 10 1/2 to an improper fraction (21/2) and multiply it by 3/4’s reciprocal (4/3) and use cancellation to get the answer 14. Attached is an example of how to work it out on paper.
Yes choice B) 1/5 is correct. You are using the correct formula and steps. Nice work.
Here's another way to look at it:
When you visually plot the inverse, you reflect everything over the line y = x. What happens is that every (x,y) point swaps coordinates. So if (1,2) is on g(x), then (2,1) is on the inverse, and vice versa. Swapping the x and y values will swap the nature of the tangent slope.
For any tangent on g(x), its slope is m = (dy)/(dx)
The corresponding slope on the inverse will be n = (dx)/(dy). All that's happened here is that the numerator and denominator flipped. Again because x and y have swapped places. If you wanted, you can picture the xy axis where the vertical axis is the x axis and the horizontal axis is the y axis. That's effectively what is going on here.
So before you found that g'(1) = 5 meaning that m = 5/1 on g(x) at the point (1,2)
So n = 1/m = 1/5 for the point (2,1) on the inverse g function.
Answer:
Step-by-step explanation:
Multiplier: -175/3 Decrease: 23⅓ %
Step-by-step explanation: 75 = 250 - 3(d) d = -175/3 Y = 250 - (175/3)m
Where m is the no.
of months Y is the new value
(175/3)/250 × 100 = 70/3 %
Or 23⅓ %
Answer:
sqrt41
Step-by-step explanation:
a^2+b^2=c^2
25+16=41
sqrt41
The Power of a Power Rule. In this case, you basically multiply the two exponents together, and simplify (x^4)^9 to equal x^36
