Step-by-step explanation:
Given:
Function 'f' with two variables 'x' and 'y'.
To find:
Function rule if the parent function 'f' is rotated by 270° clockwise.
Solution:
A function given with two variables 'x' and 'y',
f(x,y) → (x, y)
If this function is rotated by 270° clockwise, the function rule will become,
f(x, y) → (-y, x)
Therefore, Option A will be the correct option.
Answer:
4.9 * 10⁻⁵
Step-by-step explanation:
0.000049 → 4.9
To find the answer you need to find the square root of e^2 to get e so what you do to one side of the equation you do to the other side of the equation so find the square root of 0.36.
e=positive or negative 0.6
Let cost of 1 box of red pen = x
Let cost of 1 box of black pen = y
Gaga bought 5 red box and her sister 4 black box then total cost is given by
5x+4y
Given that total cost was $44
so equation will be 5x+4y=44...(i)
After exchange
Gaga= 4 red box + 1 Black box
Sister = 1 red box + 3 Black box
then cost for Gaga = 4x+1y
cost for sister = 1x+3y
Given that cost for both after exchange is same so we get
4x+1y = 1x+3y
or 4x-1x = 3y-1y
or 3x = 2y
or 3x/2=y ...(ii)
plug (ii) into (i)
5x+4y=44
5x+4(3x/2)=44
5x+12x/2=44
5x+6x=44
11x=44
x=4
Now plug value of x into (ii)
y=3x/2=3*4/2=12/2=6
Hence cost of 1 box of red pen = $4
And cost of 1 box of black pen = $6
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If you want to get solution without solving both equations then just graph both equations and find the intersection point.
You will see that graph intersect at (4,6) which gives x=4, y=6