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Genrish500 [490]
3 years ago
7

Complete the square to find the y-value for the minimum value of the function-f(x)=x^2-8x+28

Mathematics
1 answer:
N76 [4]3 years ago
6 0

9514 1404 393

Answer:

  12

Step-by-step explanation:

The square can be completed by adding and subtracting the square of half the linear term's coefficient.

  f(x) = x^2 -8x +(-8/2)^2 +28 -(-8/2)^2

  f(x) = (x^2 -8x +16) +(28 -16)

  f(x) = (x -4)^2 +12

The minimum value of the function is 12, when the squared term is zero.

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A square has an area that is less than 100m^2. What is a reasonable range for the graph of the square side?
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Cameron estimates that the math class will sell 200 calendars. what will the total cost be'
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3 years ago
A savings account for a car is set up with an initial balance of $3000, and 125 is added every
zhuklara [117]

Answer:

1) 3000 + 125m

2) 3000 + 125m = 5000

3) M= 16

4) It would take 16 months

Step-by-step explanation:

Okay so no since there are no other transaction and you already have a balance of 3000 with a monthly Fee of 125 the equation shpuld be like this.

So every month you add 125,we dont know how much months we have to pay so we can use the variable given to us in this case “M”. So your base expression should look like this,

3000 + 125m (3000 base fee that doesnt change, and 125 every month fee)

Then it asked us to put it as the final balance as 5000, so using the base expression we can do this

3000 + 125m = 5000

Now to solve it you would solve it like any other equation

5000-3000=2000

2000=125m

2000/125= 16

Okay so m = 16

M in this case stands for months so the final answer would be it would take 16 months to reach the final balance of 5000

6 0
3 years ago
Use the Distributive Property to write -3x-4x in factored form
Alchen [17]
-x(3+4) 

If you distribute it to all the numbers the simplest form would be -3x-4x 
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4 years ago
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