Answer:
g(x) will be dilated horizontally to get f(x)
Step-by-step explanation:
Given
f(x) = g(kx) --> the correct equation
Required
The effect of k
The given equation is an illustration of horizontal dilation.
If |k| is greater than 0, then the function will be compressed.
However, if |k| is between 0 and 1 (exclusive), then the function will be stretched.
Take for instance:
f(x) = g(x/5)
In the above function, g(x) will be stretched by 5 units
Another instance is:
f(x) = g(x/0.5)
In the above function, g(x) will be stretched by 0.5 units
Answer:
variation constant = k = 8
equation of variation : y = 8x
Step-by-step explanation:
Any relationship of variation can be written as y = kx
where k is the variation constant.
_______________________________________
Let the equationof relation between y and x be y =kx here as well
given
y = 16 when x = 2
substituting this value in the equation y = kx
16 = k*2
=> k = 16/2 = 8
Thus,
variation constant = k = 8
equation of variation : y = 8x
Let <em>a</em> denote the airplane's speed in still air, and <em>w</em> the windspeed.
When the plane flies against the wind, it can travel an average speed of
(4500 km) / (6 h) = 750 km/h
so that
<em>a</em> - <em>w</em> = 750 km/h
Flying with the wind, it moves at a speed of
(2910 km) / (3 h) = 970 km/h
so that
<em>a</em> + <em>w</em> = 970 km/h
Add the two equations to eliminate <em>w</em> and solve for <em>a</em> :
(<em>a</em> - <em>w</em>) + (<em>a</em> + <em>w</em>) = 750 km/h + 970 km/h
2<em>a</em> = 1720 km/h
<em>a</em> = 860 km/h
Subtract them to eliminate <em>a</em> and solve for <em>w</em> :
(<em>a</em> - <em>w</em>) - (<em>a</em> + <em>w</em>) = 750 km/h - 970 km/h
-2<em>w</em> = -220 km/h
<em>w</em> = 110 km/h
Answer:
y=1/5x+7
Step-by-step explanation:
i hope this helps :)