A cell phone manufacturer designed the new packaging shown below that will hold a cell phone, accessories, and an owner's manual. Which is the volume of the new packaging? A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches. The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches. 130 in.3 120 in.3 110 in.3 90 in.3

90 inches³

Step-by-step explanation:

Given that:

A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches.

The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches

Volume of rectangular prism = (width * length * height)

Volume of smaller prism: ( 5 * 1 * 2) inches = 10inch³

Volume of larger prism : (5 * 4 * (1 +3)) inches

(5 * 4 * (1 +3)) inches = (5 * 4 * 4) inches = 80 inches³

Total volume of the new packaging:

Volume of smaller + volume of larger prism

10 inches³ + 80 inches³ = 90 inches³

answer: i don't understand. what are the options

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0