9514 1404 393
Answer:
- f(x) = x
- g(x) = -2x+1
- f(x) -(-g(x)) = -x+1
- f(x) +g(x) = -x+1
- f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not
Step-by-step explanation:
We can define a couple of linear functions as ...
f(x) = x
g(x) = -2x+1
Then the reflected function -g(x) is ...
-g(x) = -(-2x +1) = 2x -1
And the difference from f(x) is ...
f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))
We want to compare that to the sum of the functions:
f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)
The two versions of the function expression have the same value.
These results are <em>a property of addition</em>, so do not depend on the nature of f(x) or g(x). They will hold for every function.
Answer:
x= -2 & x = 6
Step-by-step explanation:
To find undefined points, you need to know when the bottom of the fraction is equal to 0, because you can't divide by 0! (The numerator is irrelevant.) In order to do this, you can factor the denominator of x^2 - 4x - 12. What factors of -12 add up to -4? That would be -6 and 2, so you can factor it out to (x-6)(x+2). Because the coefficient of x in both of these cases is 1, you can take the shortcut of just taking the opposite sign of the two numbers being added to x in these factors, giving you 6 and -2 for your undefined values.
Let me know if you need a more thorough explanation, as I sort of skipped through some wordy things there to give a more concise answer.
Answer:
The probability would be 2/6
Step-by-step
there are 6 marbles in all
2 of them are red
2 out of the 6 are red
making the fraction 2/3 (or 1/3)
hope this helped!
It would be B because eaxh section either repeats itself or is close to repeating its previous part
So,...
the slope intercept form is y = mx+b
the m is the slope, and the b is the coordinate that intercepts the y-axis
so to start you off, 4x - 9y = 2
4x - 9y = 2
-4x - 4y
-9y = -4y +2
divide both sides by -9
<u>-9y </u>= <u>-4y + 2</u>
-9 -9
y = 4/9 x - 2/9
