To find the inverse function simply replace "x" by "y", replace "y" by "x", and solve for y
f(x)=4x
y=4x
x=4y
y=x/4 or h(x)=(1/4)x
Answer:
3x + 6y = 64.50________equation 1
9x + 8y = 106.00_______equation 2
Price of a bag of popcorn is $3(300 cents) WHILE the price of one drink is $8.75(875 cents)
Step-by-step explanation:
The question here says that Kayden and Carter go to the movie theater and purchase refreshments for their friends.
Kayden spends a total of $64.50 on 3 bags of popcorn and 6 drinks.
Carter spends a total of $106.00 on 9 bags of popcorn and 8 drinks.
Now let's assume that the price of each bag of popcorn is X and the price of one drink as Y
It means that
3x + 6y = 64.50________equation 1
9x + 8y = 106.00_______equation 2
Make "x" the subject of the formula in equation 1
3x = 64.50 - 6y
X = (64.50 - 6y)/3
Apply the above in equation 2 and we have
9[ (64.50 - 6y)/3] + 8y = 106
9(21.5 - 2y) +8y = 106
193.5 - 18y + 8y = 106
193.5 - 10y = 106
Y= (193.5 - 106)/10
Y= $8.75 (price of one drink)
Now substitute Y = 8.75 in equation 1
3x + 6y = 64.50
3x + 6(8.75) = 64.50
3X = 64.50 - 52.5
X = 12/3
X = 3
C.
It represent everything that has to be done
Answer:
Step-by-step explanation:
The imaginary number <em>i</em> signifies the imaginary part of a complex number. The imaginary part of the number is the coefficient of <em>i</em>. The real part is everything else.
__
In (a +bi), (a) is the real part, and (b) is the imaginary part.
In (-9 +8i), (-9) is the real part and (8) is the imaginary part.
Answer:
Option (2) is the answer.
Step-by-step explanation:
From the figure attached,
AB represents the length of Mr. Ray, ED represents the light post and the mirror was placed at point C.
Here AB = d = 6 feet
CD = w = 32 feet
BC = f = 9 feet
Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.


h = 
h = 21.33 feet
h ≈ 21.3 feet
Therefore, height of the light post is 21.3 feet.
Option (2) is the answer.