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:
Step-by-step explanation:
Due to the fact that the degree of the polynomial is odd, we know one end must go up and the other down. Because the leading coefficient is even, we know that as x approaches negative infinity, y approaches negative infinity as well. As x approaches positive infinity, y approaches positive infinity.
Answer:
1) Distributive Property of Multiplication (The terms are distributed)
2) Addition property of equality (Adding 14 to both sides)
3) Simplifying (We simplified the expression)
4) Division property of equality (Dividing both sides by 6)
Answer:
you switch 8x and 4y by subtracting 8x to 4y + 16 and substracting 4y to 8x.
This gives you the equation -4y = -8x+16
Then you divide each side by -4
To give you your slope-intercept form which is y = 2x-4.
