9514 1404 393
Answer:
(x, y') = (-13, 13)
Step-by-step explanation:
At the given value of x, f(x) = 2. Then 9f(x)-5 = 9(2) -5 = 13.
The point on the scaled, translated graph will be ...
(x, y') = (-13, 13)
_____
The graph shows a function f(x) with a distinct feature (vertex) at (-13, 2). It also shows where that distinct feature moves to when the function is scaled and translated.
Answer:
(0,5) (2,-2)
Step-by-step explanation:
Put some values in for x to get your y values and then graph
y = 3/2 - 5
x = 0 then y = 3/2 X 0 -5
y = 0 - 5
y = 0
This gives a point of (0, -5)
now use x = 2
y = 3/2 X 2 -5
y = 6/2 - 5
y = 3 - 5
y = -2
This gives a point of (2,-2)
Let <em>x</em> be the number of one-striped fish and <em>y</em> the number of two-striped fish.
100 families each have 2 fish, so there are a total of 200 fish:
<em>x</em> + <em>y</em> = 200
<em>x</em> one-striped fish carry a total of <em>x</em> stripes, while <em>y</em> two-striped fish carry a total of 2<em>y</em> stripes. There are 273 stripes overall, so
<em>x</em> + 2<em>y</em> = 273
Solve for <em>x</em> and <em>y</em>. Subtracting the first equation from the second eliminates <em>x</em> :
(<em>x</em> + 2<em>y</em>) - (<em>x</em> + <em>y</em>) = 273 - 200 ==> <em>y</em> = 73
Then
<em>x</em> + 73 = 200 ==> <em>x</em> = 127
Fof(x) = f(x^2 - x) = (x^2 - x)^2 - (x^2 - x)
f(3) = (9 - 3)^2 - (9 - 3)
f(3) = 6^2 - 6
f(3) = 36 - 6 = 30
I wouldn't want to bet the farm on this. If you get another answer that is reasonable, take it.
X+y=57
x-y=33
make first one in x= form
x=-y+57
x-y=33
-y+57-y=33
-2y+57=33
-2y=-24
y=12
plug in to find x
x-y=33
x-12=33
x=45
