This involves quite a lot of arithmetic to do manually.
The first thing you do is to make the first number in row 2 = to 0.
This is done by R2 = -3/2 R1 + R2
so the matrix becomes
( 2 1 1) ( -3 )
( 0 -13/2 3/2) (1/2 )
(5 -1 2) (-2)
Next step is to make the 5 in row 5 = 0
then the -1 must become zero
You aim for the form
( 1 0 0) (x)
(0 1 0) (y)
(0 0 1) ( z)
x , y and z will be the required solutions.
Answer:
g(x) is f(x) expanded horizontally by a factor of 2
Step-by-step explanation:
<u>Given</u>:
f(x) = 16^x
g(x) = 16^(x/2)
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Replacing x in a function with x/k expands the graph horizontally by a factor of k. Here, it seems we have ...
g(x) = f(x/2)
so g(x) is a horizontal expansion of f(x) by a factor of 2.
Hello!
Since the denominator of both fractions is equivalent, you can simplify both of the fraction's numerator.
5a² - 6 + -6a² + 3
-a² - 3
Then, you can factor out a negative one from the numerator.
-(a² + 3)
Therefore, your final answer is .
Answer:
see below
Step-by-step explanation:
x² = 30
x = ±√30 (take the square root of both sides)