Answer:
We could start with the simpler function f(x) = IxI and construct the other function using transformations.
First, an horizontal translation of A units to the right is written as:
g(x) = f(x - A)
And an vertical translation of A units up, is written as:
g(x) = f(x) + A.
Where A is positive and this works for any function f(x).
Then in this case, if we start with:
f(x) = IxI and:
g(x) = Ix - 2I -3
Then:
First we do an horizontal translation of 2 units to the right.
g(x) = f(x - 2) = Ix - 2I
Then we do a vertical translation of -3 units up (or a translation of 3 units down)
g(x) = f(x - 2) - 3 = Ix - 2I - 3
Those two transformations are the ones that relate the graphs of g(x) and f(x)
Answer:
Step-by-step explanation: 0.5
Answer: which is the same as
If the math notation does not load properly, or the font size is too small, then it says ( (x+4)(x-1) )/( (x+4)(x+2) ) which is the same as (x^2+3x-4)/(x^2+6x+8)
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Explanation:
We see that x cannot equal -2, as this prevents the denominator (x+2) from becoming zero. If x = -4, then x+4 = 0. So x not allowed to be -4 means (x+4) is prevented in being zero, and this is the missing factor in the denominator. We can never divide by zero.
Multiply top and bottom of this given fraction by (x+4) to get
Note how the (x+4) terms divide and cancel to get back to the original fraction given. The portion sticks around to make sure the domains line up properly.
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Optionally you can expand out each product in the numerator and denominator to get
(x+4)(x-1) = x^2-x+4x-4 = x^2+3x-4
(x+4)(x+2) = x^2+2x+4x+8 = x^2+6x+8
I used the FOIL rule
So,
Answer:
84
Step-by-step explanation:
7 go's in to 58 8 time's bring the 8 down
you get 28 4 x 7 is 28 so it is 84
Answer:
19.3
Step-by-step explanation:
the nearest tenth would be the first 3 and behind it is a 4 it is not 5 or higher so it stays a 3 and your answer would be 19.3
mark brainliest please.