Whats the vertex form of y=x^2-20x+15

Answers

Answer 1
Answer: this looks like a parabola so:
y=x^2 - 20x + 15  -->  x^2 - 20x +15=y
(x^2 -20x)=y - 15  -->  (x - 10)^2=y - 15 +100  ( used complete the square)
(x - 10)^2=y + 85


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33 1/3 percent of 600

Answers

33(1)/(3)×(1)/(100)=(1)/(3)
To change percent to fraction/decimal
(1)/(3)×600=200
Answer: 200
331/3 of 600 331/3×600 100/3×1/600. 1/12×100 =81/3%

If f(x)= -1x2+3, find f(1)
Someone help me, I'm so confused ;-;

Answers

Answer:

-1×(1)×2+3=1 This is the answer I think

Find all real zeros of the function.
f(x)=4(x^2-1)(x-3)(x+3)^2

Answers

4(x^2 - 1)(x - 3)(x + 3)^2 = 0
(x + 1)(x - 1)(x - 3)(x + 3) = 0
x = -1, 1, 3, -3

Solving Linear Systems: Using Substitution
x=3y-4
3y - 4x = 6
someone pls help

Answers

Answer:

x = -2/3

y = 10/9

Step-by-step explanation:

3y - 4x = 6

x=3y-4

Substitute the second equation into the first for x

3y - 4( 3y-4) =6

3y - 12y +16 = 6

Combine like terms

-9y +16 = 6

Subtract 16 from each side

-9y +16-16 = 6-16

-9y = -10

Divide by -9

-9y/-9 = -10/-9

y = 10/9

x = 3y -4

x =3(10/9) -4

 =10/3 - 12/3

  =-2/3

Write what is the next image that follows this pattern. Explain why.

Answers


Braydon ...

Please see the drawing and explanation that I have attached.

There may be other ways to interpret it, but this is what I see
when I look at it.

What numbers multiply to 6 and add up to 9

Answers

xy = 6
x + y = 9

     x + y = 9
x - x + y = -x + 9
           y = -x + 9

                                          xy = 6
                                x(-x + 9) = 6
                            x(-x) + x(9) = 6
                                 -x² + 9x = 6
                            -x² + 9x - 6 = 0
              -1(x²) - 1(-9x) - 1(6) = 0
                       -1(x² - 9x + 6) = 0
                                 -1           -1
                             x² - 9x + 6 = 0
                             x = -(-9) ± √((-9)² - 4(1)(6))
                                                 2(1) 
                             x = 9 ± √(81 - 24)
                                            2
                             x = 9 ± √(57)
                                        2
                             x = 4.5 ± 0.5√(57)

                       x + y = 9
   4.5 ± 0.5√(57) + y = 9
- (4.5 ± 0.5√(57))    - (4.5 ± 0.5√(57))
                             y = 4.5 ± 0.5√(57)
                       (x, y) = (4.5 ± 0.5√(57), 4.5 ± 0.5√(57))

The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).