(p of q)(x) means that q(x) is inserted into p(x).
p(q(x)) = 2(x - 3)^2 - 4
Expand (x - 3)^2.
p(q(x)) = 2(x^2 - 6x + 9) - 4
p(q(x)) = 2x^2 - 12x + 14
Answer:
3/4
Step-by-step explanation:
Start by simplifying (2x-x) to just (x)
The equation should now look like this: 12+x=9x-6
Now subtract the x on the left side of the equation on both sides.
The equation should now look like this: 12=8x-6
Now add 6 on both sides
The equation should now look like this: 6=8x
To get x by itself you must divide 8 on both sides
The equation should now look like this 6/8=x
Don't forget to simplify your fractions!
6/8 simplified is 3/4, giving you the answer 3/4
Answer:
x = 5
Step-by-step explanation:
4x + 2y + z = 24
2x - 3y - z = 2
5x + y + 2z = 21
-----------------
Eliminate z
Add the 1st and 2nd eqn
4x + 2y + z = 24
2x - 3y - z = 2
----------------
6x - 1y = 26 eqn A
Multiply the 2nd eqn by 2, then add the 3rd.
4x - 6y -2z = 4
5x + y + 2z = 21
----------------
9x - 5y = 25 eqn B
---------------
Now you have 2 eqns in 2 unknowns, not 3.
Multiply eqn A by 5 and subtract eqn B.
30x - 5y = 130 eqn A times 5
9x - 5y = 25 eqn B
-------------
21x = 105
x = 5
First of all, its the jack of diamonds. Well, the king is worth 10 or 13. The jack is worth 11 or 10. The 3 is worth either 3 or 5. Depending on what you mean by value, the expression could be 13+11+3 or 10+10+5.
