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:
7
Step-by-step explanation:
Set up a proportion
12 cookies / 2 cups = 42 cookies / x Notice that cookies are on the top and cups are on the bottom of each proportion.
12/2 = 42/x Cross multiply
12x = 84 Divide by 12
x = 84/12
x = 7
He will need 7 cups to make 42 cookies.
Answer:
Step-by-step explanation:
this is a radical equation:
when x=1 y=0
reflected about x
-sqrt(x)
right 1 unit
-sqrt(x-1)
it looks like y-int is about (0,1/3)
vertically compressed by a factor of 1/3
-(1/3)sqrt(x-1)
if you think the y-int is more (0,1/4), then
the function is vertically compressed by a factor of 1/4
-0.25sqrt(x-1)
To find the common ratio in a geometric sequence, u divide the second term by the first term. 20/80 = 1/4 <== common ratio
Terms are found in a geometric sequence by multiplying each number by the common ratio to get to the next number.
start with 80
80 * 1/4 = 80/4 = 20
20 * 1/4 = 20/4 = 5
5 * 1/4 = 5/4
5/4 * 1/4 = 5/16 <===
5/16 * 1/4 = 5/64 <===
5/64 * 1/4 = 5/256 <===
3x - 5 | x = 1.6 repeating
5y - 4 | y = 0.8 or 4/5
y + 12 | y = -12
• I’m sorry if I didn’t understand it correctly
Have a nice day! :)
