Answer:
f⁻¹(x) = (4x)/5
Step-by-step explanation:
f(x) = 2x - 3x/4.
Assume y=f(x). Therefore:
y = 2x - 3x/4.
Make x the subject in the above equation.
y = (2x(4) - 3x)/4.
y = 5x/4.
4y = 5x.
(4y)/5 = x.
x = (4y)/5.
Therefore:
f(y) = (4y)/5.
Replace y with x.
f⁻¹(x) = (4x)/5.
Therefore, the inverse of f(x) = 2x - 3x/4 is f⁻¹(x) = (4x)/5!!!
Answer:
<u><em>30cm</em></u>
Step-by-step explanation:
Given data
When are square is cut diagonally into two parts
The resulting shape is a triangle
hence the area of the square = 50+50 = 100cm^2
The length of each side of the square = √100= 10cm
likewise the diagonal of the square = 10cm
<u><em>Hence the perimeter of the resulting triangle= 10+10+10= 30cm</em></u>
Answer:
x = -4, y = 3/2
Step-by-step explanation:
simplify the 1st equation by dividing each term by 4 to get:
x + 2y = -1
-5x + 2y = 23
Subtract to get: 6x = -24
x = -4
find 'y': 2y - 5(-4) = 23
2y + 20 = 23
2y = 3
y = 3/2
Answer:
Step-by-step explanation:
This is a volume problem as indicated by the exponent on the unit feet. Cubed is a volume thing, whereas squared is an area thing, etc.
The volume for a box-shaped microwave is
V = l x w x h and we are given the length and the width, but those are in inches and they need to be in feet. That's the tricky part here...catching the inconsistency in the units!
18 inches = 1.5 ft and
14 inches = 7/6 feet
Filling in:
1.75 = 1.5 x 7/6 x h and
1.75 = 1.75h so
h = 1 foot
Answer:
Step-by-step explanation:
Right answer is choice C
Let a= amount Vince needs
Because if the least expensive phone is $225.90 and Vince got $122.35 saved then
(225.90 - 122.35) $103.55 is how much Vince will need
103.55 is greater than or equal to a
and not less than or equal to