u8p4
28.07.2019 •
Mathematics
The volume (in cubic feet) of a room is represented by 12z3−27z12z3−27z. find expressions that could represent the remaining dimensions of the room when the length (in feet) is represented by 2z−32z−3.
Solved
Show answers
More tips
- G Goods and services How to choose a washing machine?...
- F Family and Home Is it Worth Knowing the Gender of Your Child Before Birth?...
- H Health and Medicine Mercury Thermometer Danger: What to do when a thermometer breaks?...
- F Food and Cooking How to cook crayfish? Everything you need to know...
- G Goods and services LED-подсветка в LCD-телевизорах: 5 причин, почему она лучше других технологий...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- G Goods and services Which TV is better - LCD or Plasma?...
- S Sport How to Learn to Pull Up on Monkey Bars?...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
Answers on questions: Mathematics
- M Mathematics Assume the supply curve shifts to the right by a given amount at each price. The price in the market will decline the most if demand is more price- and supply is more price-....
- M Mathematics Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, , E7 denote the sample points. The following probability assignments apply: P(E1) = 0.15,...
- M Mathematics A circle has a radius that is 4 centimeters long. If a central angle has a measure of 3 radians, what is the length of the arc that corresponds to the angle?...
- M Mathematics Is 4.3838999 a rational or irrational number ? ? why? ?...
- M Mathematics Alicia had 2/3 of a pound of berries. alicia let her friend jennifer eat 3/8 of the berries. how many pounds of berries did jennifer eat?...
- M Mathematics What is the perimeter of rectangle jklm also how do u send a picture...
- M Mathematics Ben cam and justin are lumberjacks the number of trees they chop down is given by b+2c+3j b is the number of hours ben spends chopping c is the number of hours cam spends...
- M Mathematics How do you find the answer for 2/3x +15 = 17...
- M Mathematics What is the quotient when x^3 -5x^2 + 3x -8 is divided by x-3 ?...
- M Mathematics There is a surplus of office space in a city if 400,000 sq ft or 16% of the total office space vacant how much office space dis the city have...
Ответ:
=12z³-27z
And by the analysis:
The volume = 12z³-27z
= ( 3z ) ( 4z²-9 ) ⇒ by taking (3z) common
= ( 3z )( 2z+3 )( 2z-3 ) ⇒ the difference between two squares
So the dimensions of the room will be 3z , 2z+3 , 2z-3
---------------------------------------------------------------------------
I have attached tha problem
Ответ:
3z and 2z+3.
Explanation:
Volume is found by multiplying length, width and height. To use the volume and length to find the width and height, we would work backward and divide:
We can factor to work this division out.
In the numerator, we find the GCF first. Both terms are divisible by 3 and z, so we factor out 3z. When we do this, we divide both terms by 3z to finish the numerator:
12z³/3z = 4z²;
-27z/3z = 9
This gives us:
4z²-9 is the difference of squares; using this to factor, we have:
We have 2z-3 in both the numerator and denominator, so it will cancel out. This leaves us:
3z(2z+3)
This means one of the factors, 3z, is one dimension, and the other factor, 2z+3, is the other dimension.
Ответ:
1/4, 0.4, 0.4/w line, and 4% I think
Step-by-step explanation: