(3x² + 2xy + 4y²) + (6x² - 5xy + 3y²) + (9y² - 25y²)
Get rid of the parenthesis :)
3x² + 2xy + 4y² + 6x² - 5xy + 3y² + 9y² - 25y²
Add like terms.
(3x² + 6x²) + (2xy - 5xy) + (4y² + 3y² + 9y² - 25y²)
Simplify.
(9x²) + (-3xy) + (-11y²)
Get rid of the parenthesis.
9x² - 3xy - 11y²
~Hope I helped!~
For the answer to the question above,
<span>g(f(x)) = (4x^2 + x + 1)^2 - 2 </span>
<span>g(f(x)) = (16x^4 + 4x^3 + 4x^2 + 4x^3 + x^2 + x + 4x^2 + x + 1) - 2 </span>
<span>g(f(x)) = 16x^2 + 8x^3 + 9x^2 + 2x + 1 - 2 </span>
<span>g(f(x)) = 16x^2 + 8x^3 + 9x^2 + 2x - 1
I hope my answer helped you. Feel free to ask more questions. Have a nice day!</span>
Answer:
c
Step-by-step explanation:
because it would have many solutions
Answer:
The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.
Step-by-step explanation:
Recall the four very important rules regarding translations (shifts) of the graph of functions:
1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.
2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.
3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.
4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.
We notice that in our case, The original function 
has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).
6 books at $ 8 = (6 * 8) = 48
if he got a discount of 20%, then he paid 80%
0.80(48) = 38.40 <== what he paid
