Answer:
Step-by-step explanation:
y = (x^2 + 4x) + 2
Take 1/2 of the linear term 4/2 = 2 and square that result. 2^2 = 4.
Put it after 4x
y = (x^2 + 4x + 4) +2 Subtract what you put inside the brackets on the outside.
y = (x^2 + 4x + 4) + 2 - 4 Combine the right.
y = (x^2 + 4x + 4) - 2 Express the brackets as a square.
y = (x + 2)^2 - 2
That's your answer
a = 1
h = 2
k = -2
Answer: 
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope of the line and "b" is the y-intercept.
You need to analize the information given in the exercise.
You know that gift card had a total of $20. Then, since she started to buy the songs with $20, you can identify that:

Since Renata purchased 16 songs and the gift card had a remaining balance of $0 after this, you can find the cost of each song. This is:

Therefore, she spent $1.25 per song. This means that the slope is:

Then, you get that the equation that represents the relationship between "y" (the remaining balance on Renata's gift card) and "x" (the number of songs purchased) is:

It is 9 because all the other numbers are in the 80s and 90s 9 is way to low.
Make an equation
X+X+200=1500
Isolate the variable
2x=1300
X=650
Know that we know what X is, we know that X + 200 will equal the cost of the second appliance
650+850=1500
x=-3
This is because when a line is vertical, then it has an undefined slope and so it must have a value for x only. This shows it must be x=-3.