The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of the prism? (Show all steps.)
Answers
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² = 3n³ + 13n² + 16n + 4 / 3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4
Therefore, the area of the square base is n² + 4n + 4.
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Determine if the system has one solution, infinitely many solutions, or no solution. x=-7y+34 x+7y=32
Which answer describes this series? 2 + 4 + 12 + 48 +... e) Neither arithmetic nor geometric f) Both arithmetic and geometric g) arithmetic h) geometric
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3x y=-9
x-2y=-10
Answers
y = 9 - 3x
x - 2y = 10
y = (x - 10)/2
2(9 - 3x) = x - 10
18 - 6x = x - 10
7x = 28
x = 4
y = 9 - 3(4)
y = 9 - 12
y = - 3
Answer: x = 4, y = - 3
Proof—2nd equation:
4 - 2(- 3) = 10
4 + 6 = 10
Hope this helps :)
Answers
Answer:
6, but the question makes more sense when asking about 12.5% from 48
Step-by-step explanation:
to get a percentage of something, we just have to remember that and that we just need to multiply.
Yes, percentages are just numbers, but the percentage sign lets us signify the purpose of a number.
48 * 12.5% = 48 * 0.125 = 48 / 8 = 6
Answers
-Integers are any number that is not 0 or a fractional number (# with decimals/fractions)
-irrational numbers are numbers with decimals that go on forever and that do not repeat themselves
-rational number is any number that is predictable. So negative numbers, 0 and any number above 0 and decimals that are predictable (ex: 5.2) or any repeating decimal not decimals that goes on forever bu does not repeat them self for example π-real numbers are any digit that is rational. This includes negative numbers and fraction.
so to answer your question
0: Natural number, real number, rational
1: Natural number, Integer, real number, rational
1/12: real number, rational
1/16: real number, rational
1/120: Real number, rational
-Calypso, 8th
integers are natural numbers plus their negatives and zero (-3,-2,-1,0,1,2,3..)
rational numbers can be written in form a/b where b is not equal zero, terminating and repeating decimals can be written in this form
irrational numbers cannot be written in form a/b, they are non-terminating decimals
real numbers are rational+irrational numbers, not including imaginary numbers
basially
natural numbers are in integers which are in rational numbers which are not integers and those make up real numbers
so
0 is a whole number but that wasn't listed so it is an integer, rational number and a real number
1 is a natural number, an integer, a ratioal number, and a real number
1/12 is in form a/b, so it is a rational number and a real number
1/16 is also in form a/b, so it is a rational number and a real number
1/20 is also in form a/b, so it is a rational number and a real number
Create a dot plot for the data in the table. Hover over each number on the number line. Then click and drag up to create the dots
Answers
The data recorded by Ben shows the attendance log of his classmates over a given period of time.
What is a Dot Plot?
This refers to a simple chart that resembles a histogram that is used to represent small data.
Hence, we can see that because Ben tracked the attendance of the class over a given time period with the frequency on a frequency table, a sample of a dot plot has been provided below,
Read more about dot plots here:
#SPJ2
Answer: took the
Step-by-step explanation:
Answers
Factοring is the prοcess οf reversing the distributive prοperty sο that a pοlynοmial can be written as the prοduct οf simpler pοlynοmials is true.
What is factοring?
Factοring is the prοcess οf finding the factοrs οf a pοlynοmial, that is, rewriting the pοlynοmial as the prοduct οf simpler pοlynοmials. The distributive prοperty is used in reverse during the factοring prοcess tο find the cοmmοn factοrs οf a pοlynοmial.
Fοr example, cοnsider the pοlynοmial expressiοn . We can factοr οut a cοmmοn factοr οf 2x tο get:
2x(x + 3)
This is the reverse οf the distributive prοperty, which is used tο expand expressiοns. In this case, we are taking the cοmmοn factοr 2x and distributing it tο each term οf the pοlynοmial tο write it as a prοduct οf simpler pοlynοmials.
Factοring is an impοrtant skill in algebra and calculus because it helps simplify expressiοns and sοlve equatiοns. It is alsο used in many οther areas οf mathematics and science, including number theοry, graph theοry, and physics.
Learn more about factoring on:
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5x^2- 5x+1
2x^2+9x-6
Answers
Answer: C. 7x^2+4x-5
Step-by-step explanation:
Add as you would normally. Exponents can look scary but don’t mind them. First add 5x^2 & 2x^2 to get 7x^2. Then do -5x + 9x. An easier way of doing that would be 9x-5x to get 4x. Lastly do 1 -6 to get 5.