Answer:
see explanation
Step-by-step explanation:
To show f and g are inverses we require to show that
f(g(x)) = x and g(f(x)) = x
f(g(x))
= f(6x - 4)
=
=
= x
-----------------------------------------------------------------------------
g(f(x))
= g(
)
= ( 6 ×
) - 4
= x + 4 - 4 = x
-------------------------------------------------
Hence f and g are inverses
Put the number over each the total that was added then, divide the bottom number to into the top number
No, it is not.
4/7 ≈ 0.5714
3/5 = 0.6
Actually, 3/5 is greater than 4/7.
Another way you could do this is by multiplying 4/7 with 5/5 and by multiplying 3/5 with 7/7.
4/7 * 5/5 = 20/35
3/5 * 7/7 = 21/35
Have an awesome day! :)
Answer:
Step-by-step explanation:
We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...
y = a(x -3)² +b
Filling in the values from the first two table points, we get
For (x, y) = (0, 6):
6 = a(0 -3)² + b ⇒ 9a +b = 6
For (x, y) = (2, 22):
22 = a(2-3)² +b ⇒ a +b = 22
Subtracting the second equation from the first gives ...
(9a +b) -(a +b) = (6) -(22)
8a = -16 . . . . . . collect terms
a = -2 . . . . . . . . divide by 8
The second equation above tells us ...
b = 22 -a = 22 -(-2) = 24
So, our equation for y is ...
y = -2(x -3)² +24
__
The value of y for x=5 is ...
y = -2(5 -3)² +24 = 16
The height of the ball after 5 seconds is 16 feet.
Answer:
traingle
Step-by-step explanation:
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