Answer:
F⁻¹(x) = x/9
Step-by-step explanation:
To find the inverse of a function, you want to switch x and y in the equation and solve for y.
F(x) = 9x
x = 9F(x)
x/9 = F⁻¹(x)
Therefore, the inverse is F⁻¹(x) = x/9.
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m =
=
= 3
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 3x + 3 ← equation of line → A
Answer:
1998
y=6x+1944
Step-by-step explanation:
The percentage of Male workers who prefer a female boss over a male boss increased approximately linearly from 5% in 1974 to 9% in 1998. Predict when 9% of male workers will prefer a female boss
it is explicit from the question that 9% of male workers prefer female boss in 1998. but we can predict a model for this by getting the slope of the graph
y=the year
x=the percentage of men who prefer a female boss
s=y2-y1/(x2-x1)
s=1998-1974/(9-5)
s=24/4
s=6
therefore we have
y=mx+c
y=6x+c........1
when y=1998,x=9
1998=6(9)+c
c=1944
from equation 1
y=6x+1944
Answer:
Step-by-step explanation:
Lets age of father be x and age of son be y
x+5=3(y+5)
x=3y+15-5
x=3y+10
x-5=7(y-5)
3y+10-5=7(y-5)
3y+5=7y -35
35+5= 7y-3y
40=4y
y=10 years son`s age
Answer:
$62.05 is the new price
the reduced price is $10.95
Step-by-step explanation:
73*.85=62.05