Answer:
There is a flat fee involved, which is the y-intercept of the line.
The line eats the points:
(3, 435)
and
(5, 625)
the slope is 190/2 = 95
B = y - mx = 435 - (95)(3)
= 435 - 285
= 150
The linear function is:
y = 95x + 150
So for x=2, it will cost
95(2) + 150 = 190 + 150 = 340
435 + 625 + 340 = 1400
Step-by-step explanation:
First you must grasp what an inverse function really is to make it simple on yourself. If f(x) produces a point (x,y), the inverse function will produce (y,x). That is why it is an "inverse" function because it reverses the x and y coordinates. With that out of the way, mathematically, you simply have to solve the function for the independent variable and then switch the variable labels. Let f(x)=y=(2x+3)/5
y=(2x+3)/5 multiply both sides by 5
5y=2x+3 subtract 3 from both sides
5y-3=2x divide both sides by 2
(5y-3)/2=x now simply reverse the labels for the variables and you have the inverse function of f(x)
y=(5x-3)/2 so
f^-1(x)=(5x-3)/2
Answer:
Center of sphere = (2, 0, -6)
Radius of sphere = 
Step-by-step explanation:
We are given the following in the question:
Equation of sphere:
Formula:
The equation of sphere is of the form
Simplifying the given equation we get,
Center of sphere = (2, 0, -6)
Radius of sphere =
Answer:
x is 4
GR is 10
GB is 49
Step-by-step explanation:
If U is between G and B, then GU + UB = GB .... 1
If R is between G and U, GR + RU = GU ....2
Given
GR is 3x-2
RU is 5x+7
UB is 12
GB is 15x-11
Substitute2 into 1;
Frim 1;
GU + UB = GB
(GR+RU) + UB = GB
3x-2+5x+7+12 = 15x-11
8x+17 = 15x-11
8x-15x = -11-17
-7x = -28
x = 28/7
x = 4
Get GR:
GR = 3x-2
GR = 3(4)-2
GR = 12-2
GR = 10
Get GB:
GB = 15x-11
GB = 15(4)-11
GB = 60-11
GB = 49
Answer:
A(2,-1) B(5,1)
(y-1)=1+1)/5-2)(x-5)
y-1=2/3(x-5)
3y-3=2x-10
2x-3y-7=0
Step-by-step explanation:
