Answer: -330 + 22d
Step-by-step explanation:
Apply distributive law: a(b-c)=ab-ac
Answer:
c. f(x) x+1/x-1
Step-by-step explanation:
To answer this question, we need to check each answer one by one until we find the right one.
y = (x+6)/(x-6)
switch x and y
x = (y+6)/(y-6)
solve for y
x(y-6) = y+6
xy - 6x = y+6
y(x-1) = 6x+6
y = (6x+6) /(x-1) = 6(x+1)/(x-1)
f^-1(x) = 6(x+1)/(x-1)
y = (x+2)/(x-2)
switch x and y
x = (y+2)/(y-2)
solve for y
x(y-2) = y+2
xy -2x = y+2
y(x-1) = 2x+2
y = (2x+2)/(x-1)
f^-1(x) = 2(x+1)/(x-1)
y = (x+1)/(x-1) ------ correct one
switch x and y
x = (y+1)/(y-1)
solve for y
x(y-1) = y+1
xy - x = y+1
y(x-1) = x+1
y = (x+1)/(x-1)
f^-1(x) = (x+1)/(x-1)
f(x) = f^-1(x)
Answer:
The height of ball when it is at maximum height is 12 unit
Step-by-step explanation:
Given as :
A ball is thrown by child to height y
And y as a function x is y = 
So, for maximum value of height ,
= 0
Or ,
= 0
Or,
= 0
Or,
= 2
or, x = 12
Hence The height of ball when it is at maximum height is 12 unit Answer
This is the concept of simultaneous equations. Let the number of dimes be x and that of quarters by y.
1 quarter =$0.25
1 dime=$0.1
Total number of coins in piggy bank
x+y=64
thus
x=64-y.........i
Total amount will be:
0.1x+0.25y=10.30......ii
substituting i in ii and solve for y we get:
0.1(64-y)+0.25y=10.30
6.4-0.1y+0.25y=10.30
0.15y=10.30-6.4
0.15y=3.9
y=3.9/0.15
y=26
hence:
x=64-y=64-26=38
Therefore we conclude that there are 38 dimes and 26 quarters