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:
sorry dont know
Step-by-step explanation:
Answer:
x=2
x=-5
Step-by-step explanation:
You need to get everything on one side to have a quadratic equation:
x^2+6x-4 -(3x+6) = x^2+3x-10
All factors of 10 are 1*10 and 2*5.
5-2 = 3 and 5*-2 = -10
Factoring x^2+3x-10 gives us (x-2)(x+5)
x=2
x=-5
The population density of Woodstock is 2114.7 people per square mile
Step-by-step explanation:
Population density is the number of people per square kilometer or per square mile
Given
Number of people = 23896
Area = 11.3 square miles
The population density is given by the formula:
Hence,
The population density of Woodstock is 2114.7 people per square mile
Keywords: Population density, Area
Learn more about population density at:
#LearnwithBrainly
Answer:
The circumference would be around 90 yards.
Step-by-step explanation:
C = 2πr
r = 14.2
14.2 × 3.14 = 44.588
44.588 × 2 = 89.176
89.176 ≈ 90
C = 90
