Answer:
vertex = (- 4, - 18 )
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
The the x- coordinate of the vertex is
= - ![\frac{b}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7B2a%7D)
f(x) = x² + 8x - 2 ← is in standard form
with a = 1 and b = 8 , thus
= -
= - 4
Substitute x = - 4 into f(x) for corresponding y- coordinate
f(- 4) = (- 4)² + 8(- 4) - 2 = 16 - 32 - 2 = - 18
vertex = (- 4, - 18 )
Answer:
x could be anything. you have to have a equation to solve for x.
Step-by-step explanation:
I don’t know the answer but I recommend using photomath
If the width is w and the length is l, then 2w-2=l and 2w+2l=72 (using the perimeter equation). Plugging 2w-2 in for l, we get 2w+(2w-2)*2=72 and 6w-4=72. Adding 4 to both sides, we get 6w=76. After that, we divide both sides by 6 to get 74/6=w. Since l=2w-2=136/6, we get (136/6)(74/6)=656.75=area
Answer:
Step-by-step explanation:
8 1/2 inches =
inches
To fit on shelves, the package must not be more than 8 1/2 inches tall, it means the height of the package can be at
inches
The box must be able to hold 100 cubic units of crackers. it means the volume of the box is 100 cubic units.
The base of the package to be squared
And we have the formula:
V = h*S (Area of the base)
=> S = V/h = 100 :
=
=> the side of square:
The dimensions for Jason's design are:
The height:
inches
The length and width: ![\sqrt{\frac{200}{17} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B200%7D%7B17%7D%20%7D)