Answer:
Option C.(-2, 8)
Step-by-step explanation:
we have
y=f(x) ----> the parent function
y=2f(x) ---> the new y-value will be 2 times the original value
The rule of the transformation of f(x) to 2f(x) is
(x,y) -----> (x,2y)
substitute the given value
(-2,4) ------> (-2,2(4))
(-2,4) ------> (-2,8)
Because he was crumbled in fear
If the side length is greater than 11.11 cm then it will not overflow.
Otherwise, it will overflow.
If Joe tips the bucket of water in a cuboid container and the water is not overflowing then the cuboid container must be of volume greater than 1370 cm³.
We find the cube root of 1370 cm³.
Then the cuboid container should have a side of length greater than 11.11 cm.
Here the statement "If I tip my bucket of water in the cuboid container, it will never overflow" is correct or wrong based on the information that the container has a side length lesser or greater than 11.11 cm.
If the side length is greater than 11.11 cm then it will not overflow.
Otherwise, it will overflow.
Learn more about volume here-
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2 log(<em>x</em>) - log(<em>x</em> - 1) = log(<em>x</em> - 2)
log(<em>x</em>²) - log(<em>x</em> - 1) = log(<em>x</em> - 2)
log(<em>x</em>² / (<em>x</em> - 1)) = log(<em>x</em> - 2)
<em>x</em>² / (<em>x</em> - 1) = <em>x </em>- 2
<em>x</em>² = (<em>x</em> - 1) (<em>x</em> - 2)
<em>x</em>² = <em>x</em>² - 3<em>x</em> + 2
0 = -3<em>x</em> + 2
3<em>x</em> = 2
<em>x</em> = 2/3
But notice that 2/3 - 1 = -1/3 < 0, and log(<em>x</em> - 1) is undefined so there are no real solutions.