Step-by-step explanation:
let f(x) be y
∴ y = 10x/9 +11
(y - 11 )× 9/ 10 = x
Interchange x->y and y->x
(x - 11)×9/10 = y
here y is your f⁻¹(x)
∴ f⁻¹(x) = (x - 11 )× 9/10
or, f⁻¹(x) = 9x/10 - 99/10
Option (D) is correct
D.
soup:1x5
desserts:1x3
pizza:1x2
then add them up
5+3+2=10
For the answer to the question above, Since Rachel makes 3 bracelets an hour, her linear equation should be y=3h. 3 represents the rate of change and h represents the number of hours as a variable.
Oliver's linear equation is y=2h+5 because 2 is the rate of change and 5 is the b value or the y-intercept in a linear equation y=mx+b. To find when both have the same number of bracelets, we find the point of intersection...
2h+5=3h
5=3h-2h
5=h
Therefore in 5 hours, both will have the same amount of bracelets.
V = 180 cm3
l = 10 cm
w = 4 cm
h = ?
V=lwh, so to get h, divide equation by lw, to get h=V/(lw).
h = 180/(10*4) = 4.5 cm
Given
Your family has a circular swimming pool.
The radius of the pool is 9 feet and and its depth is 4 feet.
Find out the volume of the pool.
To proof
As depth is given in the question that means the shape of the swimming pool
is cylinder.
Formula

where r = radius
h = height
now
radius of the pool is 9 feet and and its depth is 4 feet.
put all the values in the above equation
we get

use 3.14 to approximate pi

we get
= 1017.4 ( approx )feet²
Hence proved