If the point (0, 20) is the y-intercept of the parabola with the vertex is (8, -12), What is the equation for this parabola.

Step-by-step explanation:

f(x) = a(x - h)² + k            - vertex form of the equation of the parabola with vertex (h, k)

so the equation of parabola with the vertex (8, -12) is

f(x) = a(x - 8)² - 12  

The point (0, 20) is the y-intercept means if x=0 then f(x)=20

20 = a(0 - 8)² - 12 

20 +12 = 64a - 12 +12

32 = 64a

a = ³²/₆₄ = ¹/₂

Therefore the equation (in vertex form) of parabla is:

                                  f(x) = ¹/₂(x - 8)² - 12  

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40