Answer:
(x - 5)² = 41
Step-by-step explanation:
* Lets revise the completing square form
- the form x² ± bx + c is a completing square if it can be put in the form
(x ± h)² , where b = 2h and c = h²
# The completing square is x² ± bx + c = (x ± h)²
# Remember c must be positive because it is = h²
* Lets use this form to solve the problem
∵ x² - 10x = 16
- Lets equate 2h by -10
∵ 2h = -10 ⇒ divide both sides by 2
∴ h = -5
∴ h² = (-5)² = 25
∵ c = h²
∴ c = 25
- The completing square is x² - 10x + 25
∵ The equation is x² - 10x = 16
- We will add 25 and subtract 25 to the equation to make the
completing square without change the terms of the equation
∴ x² - 10x + 25 - 25 = 16
∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides
∴ (x² - 10x + 25) = 41
* Use the rule of the completing square above
- Let (x² - 10x + 25) = (x - 5)²
∴ (x - 5)² = 41
Answer:
Step-by-step explanation:
First you will divide I-2xI on both sides that should look like this:
-2x/-2 = 10/-2
when you divide it your -2‘s should cancel out and you should be left with
-x=10/-2
when You divide 10/-2 you should get -5
10/-2= -5
your answer should look like this then
-x=-5
-5 is just one of your answers the other is 5
To get rid of the negative on the -X you have to didvide it by both sides
-x/-x=-5/-x
your answer should be
X= 5
your final answers are
-5 or 5
ABCEG. Not D because non terminating numbers are irrational, same goes for Pi
Answer: Option D
g(x) is shifted 3 units to the left and reflected over the x-axis.
Step-by-step explanation:
If we have a main function 
And we perform the transformation:
Then it is fulfilled that:
If 
the graph of f(x) moves horizontally h units to the left
If 
the graph of f(x) moves horizontally h units to the right
If we have a main function
And we perform the transformation:
Then it is fulfilled that:
The graph of g(x) is equal to the graph of f(x) reflected on the x axis
In this case we have to:
and 
Therefore 
and 
This mean that: g(x) is shifted 3 units to the left and reflected over the x-axis.
You just keep subtracting 3 yo the previous number, so day one would be $82 and day three would be $79...etc. Day five would be $70 so sweet
