F(x)=2x+4/3
Replace f(x) by y:
y=2x+4/3
Solving for x:
y-4/3=2x+4/3-4/3
Subtracting the two terms on the left side of the equation:
(3y-4)/3=2x
Dividing both sides of the equation by 2:
[(3y-4)/3]/2=2x/2
[(3y-4)/3]*(1/2)=x
[(3y-4)*1]/[(3)*(2)]=x
(3y-4)/6=x
x=(3y-4)/6
Replace "x" by "f^(-1) (x)" (inverse function) and "y" by "x":
f^(-1) (x) = (3x-4)/6 Inverse function
Then, for x=6
f^(-1) (6) = [ 3(6)-4]/6
f^(-1) (6) = (18-4)/6
f^(-1) (6)= 14/6
f^(-1) (6) = 7/3
Her hair will have grown 6 after 7/3 = 2.33 months
Answer:
There are 12 students in each group
Step-by-step explanation:
87-39= 48
48/4= 12
Hope this helped. ;)
Answer:
the first cell next to 3 (time hours x) is 300
the point is (3, 300)
the second cell is 1000
the point is (10,1000)
the values for the second table should be the same if they have the same unit rate which is 100 watts per hour
Step-by-step explanation:
If there is 100 watts perhour just multiply the number of hours by this unit
Ricky jogged 6 miles on tuesday and 6 miles on friday
<em><u>Solution:</u></em>
Given that,
Rick jogged the same distance on tuesday and friday
Let "x" be the distance jooged on each tuesday and friday
He also jogged for 8 miles on sunday
Total of 20 miles for the week
Therefore, we frame a equation as,
total distance jogged = miles jogged on tuesday + miles jogged on friday + miles jogged on sunday
20 = x + x + 8
20 = 2x + 8
2x = 20 - 8
2x = 12
x = 6
Thus Ricky jogged 6 miles on tuesday and 6 miles on friday
Exponents are not particularly mysterious. They show repeated multiplication. That is ...
... c⁴ = c·c·c·c
... w² = w·w
Then the factor inside parentheses is ...
... 8·c·c·c·c·w·w
The exponent outside parentheses tells you the number of times this is repeated as a factor:
... (8c⁴w²)² = (8·c·c·c·c·w·w)(8·c·c·c·c·w·w)
... = 8·8·c·c·c·c·c·c·c·c·w·w·w·w = 64c⁸w⁴
_____
You can take advantage of the fact that multiplication is repeated addition, so the exponents of the various factors can be found by multiplying the outside exponent by the inside exponents.
