Volume of the box= <span>56 cubic inches
let x is the length, then
width =</span><span>2 inches shorter than its length = x - 2
</span>height = <span>3 inches taller than its length = x+3
Volume = length x width x height
56 = x x (x-2) x (x+3)
56 = (x</span>² -2x)(x+3)
56 = x³ +3x² -2x² - 6x
56 = x³ + x² -6x
x³+x²-6x-56 = 0
using the rational root theorem and factoring the polynomial;
(x-4)(x² +5x +14) = 0
from here;
x-4 = 0
x = 4
So, length = 4 inches
width = x - 2 = 4 -2 = 2 inches
length = x + 3 = 4 + 3 = 7 inches
volume = l x w x h = 4 x 2 x 7 = 56
Answer:
12 less than or equal to 2
Step-by-step explanation:
Answer: y = 3 (x -4)^3
Step-by-step explanation: horizontal shift of 4 units to the right (subtract 4 units from the x): y = 3(x - 4)^3
Vertical shift 3 units down (subtract 3 units from the function): y = 3(x - 4)^3 - 3
Multilpy -2 on both sides of the < sign this will get u 1x < 24 in other words x < 24
