If an average person in the United States throws away 4.5 × 10² g of trash per day and the number of persons is <span>3.2×10^6, then the mass of trash thrown away in United States would be 1.44 x 10^9 grams. This is obtained by multiplying the mass of trash thrown by one person to the number of persons in the U.S.</span>
3(2x+8)=0
Simplify both sides of the equation.
3(2x+8)=0
(3)(2x)+(3)(8)=0(Distribute)
6x+24=0
Subtract 24 from both sides.
6x+24−24=0−24
6x=−24
Divide both sides by 6.
6x/6 = −24/6
x=−4
The dimension of the box is 50in by 10in by 15in
<h3>How to calculate the volume of a figure</h3>
The volume of an object is the quantity of substance it contains.
The formula for calculating the volume of the box is expressed as:
V = lwh
where:
- l is the length
- w is the width
- h is the height
Given the following parameters
length = 5w
height = w + 5
Substiute
7500 = 5w(w)(w+5)
7500 = 5w²(w+5)
1500 = w³+5w²
w³+5w² - 1500 = 0
<u>Factorize to determine the width</u>
On factorizing, the width of the box is 10 inches
Recall that:
l = 5w
l = 5(10)
l = 50inches
<u>Get the height</u>
h = w + 5
h = 10 + 5
h = 15inches
Hence the dimension of the box is 50in by 10in by 15in
Learn more on volume of box here: brainly.com/question/14957364
After you have plotted the graph of the polynomial, the x-intercepts of the given polynomial will be:
(-3,0),(-1,0) and (4,0)
therefore the interval will be:
(-∞,-3)-below, (-3,-1)-above,(-1,4)-below,(4,∞)-above
The answer is ]
