F(x) = 2x + 2.....find f(3)
f(3) = 2(3) + 2
f(3) = 6 + 2
f(3) = 8
f(x) = (3x - 4)/5....find f^-1(4)
y = (3x - 4)/5...swap the variables
x = (3y - 4)/5 ...solve for y
5x = 3y - 4
5x + 4 = 3y
(5x + 4)/3 = y
f^-1(x) = (5x + 4)/3.....for f(4)
f(4) = (5(4) + 4)/3
f(4) = (20 + 4)/3
f(4) = 24/3
f(4) = 8
y + 10 = 2y + 1
y - 2y = 1 - 10
-y = -9
y = 9
so 1 and 2 have the same result...8
To find the answer you have to see how many words see can type in a minute. To do that you can divide 90 into 12. You will get an answer of 7.5. Now that you know she can type 7.5 words per minute you can divide 165 in to 7.5. Will get an answer of 22. She will take 22 minutes to text 165 words.
3/4 + 1/6= the common denominator is 12
3x2/4x3 + 1x2/6x2= you must multiply the bottom values of the fraction to get 12 and whatever you multiply on the bottom you must do on the top as well
6/12 + 2/12= now you can add it
8/12
8/12 ÷ 2/5= you must multiply by the reciprocal
8x5/12x2=
40/36= this is the answer
10/9 (this is the simplified answer)
Supplementary angles need to equal 180 degrees
one angle = t
the other angle = 4 x t or 4t
so we now have t + 4t = 180
4 + 4t = 5t
so we have 5t = 180
divide both sides by 5:
t = 180 /5
t = 36
so angle t = 36 degrees
the other angle = 4 x 36 = 144 degrees
