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:
-33 and -21
Step-by-step explanation:
-36, <u>-33</u>, -30, -27, -24, <u>-21</u>, -18
-36
-36 + 3 = -33
-33 + 3 = -30
-30 + 3 = -27
-27 + 3 = -24
-24 + 3 = -21
-21 + 3 = -18
Answer:
The diameter of the base.
Step-by-step explanation:
If the cylinder has a diameter of 17 feet, then the diameter of said cylinder's base will be 17 feet.
Using the properties of inequalities:
Subtract -2 from each side of the inequality -2 + x > 10
Remember -2 - -2 becomes -2 + 2 = 0 <u>- -2 + x > --2
</u>10 - -2 becomes 10 + 2 =12<u /> 0 + x > 12
So the final solution would be x > 12.
Therefore x would have to be all numbers greater than 12.
<u />
Answer:
36
Step-by-step explanation:
