Answer:
1/64, 1/256, 1/1024
Step-by-step explanation:
To get from 16 to 4 we multiply by 1/4
To get from 4 to 1 we multiply by 1/4
Each time we multiply by 1/4
The next term would be 1/16 * 1/4
1/16 * 1/4 = 1/64
The take that term 1/64 and multiply by 1/4
1/64*1/4 = 1/256
Finally take 1/256 and multiply by 1/4
1/256*1/4 =1/1024
You are given the equation 36 = 9x² + 4y². You are asked to find the slopes of the asymptotes of the hyperbola. A hyperbola has the following general equation x²/a² + y²/b² = 1. the goal here is to find the slopes of the hyperbolic equation. So divide both sides by 36
36 = 9x² + 4y²
(1/36)[36 = 9x² + 4y²]
1 = x²/4 + y²/9
a² = 4
a = 2
and
b² = 9
b = 3
To find the slope, divide a/b and you will get 2/3.
Answer:
Step-by-step explanation:
we know that
In the function f(x) the inflection point is at 
In the function g(x) the inflection point is at 
so
the rule of the translation of f(x) to g(x) is equal to
That means-----> the translation is 
units to the right and 
units down
The equation of g(x) is equal to
therefore
Answer: false
Step-by-step explanation:
If f and g are increasing on I, this implies that f' > 0 on I and g' > 0 on I. That is both f' and g' have a positive slope. However,
Using product rule;
(fg)' = fd(g) + gd(f)
(fg)' = f * g' + f' * g
and although it is given that g' and f' are both positive we don't have any information about the sign of the values of the functions themselves(f and g). Therefore, if at least one of the functions has negative values there is the possibility that the derivative of the product will be negative. For example;
f = x, g = 5x on I = (-5, -2)
f' = 1 and g' =5 both greater than 0
f and g are both lines with positive slopes therefore they are increasing, but f * g = 5x^2 is decreasing on I.
Answer:
2
Step-by-step explanation:
3 - 1 = 2
