Algebra Homework Answers & Questions

Waiting for answer What is the function rule for these ordered pairs (2, 10) (...
the x's are increasing by 1. the y's are reducing by 3. the x's are increasing by 1. the y's are reducing by 3. = 3/1 = 3. when x = 0, y = 4. graph{(y+3x4)=0 [20, 20, 11, 11]...
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Waiting for answer What is the square root of 63 in simplest radical form?
##3sqrt7## ##sqrt63## ##sqrt(9*7)## ##sqrt(3*3*7)## ##3sqrt7##
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Waiting for answer What does it mean to say that two variables are directly pro...
It means when the two variables are demonstrated graphically on a graph, they both will form a straight linear line, diagonally. When variable A increase, variable B will also increase and vice versa. The opposite of direct proportional is inverse proportional which means when variable A increase,...
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Waiting for answer What are all the prime factors of 144?
From the factor tree observe that the prime factors of 144 are ##2^4xx3^3## If you are ever not sure about the prime factors do a quick sketch of a factor tree:
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Waiting for answer Why is PEMDAS important?
It is important because it shows you the order you should follow to solve an equation correctly. stands for P  Parentheses E  Exponents M  Multiplication D  Division A  Addition S  Subtraction In this order you should solve all equations otherwise you would be incorrect.
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Waiting for answer What is the simplest radical form of 53?
Do you want to simplify ##sqrt(53)## ? What prime factors divide 53? 53 itself looks prime to me. In order to simplify ##53## and then take the square root, you have to be abl...
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Waiting for answer What is the Least common Denominator (LCD) of 7/8 and 1/6?
24. Since you're only looking for the denominator, you can ignore the numerators for now and focus and the 8 and the 6. This works just like LCM (least common multiple): find the fi...
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Waiting for answer How do you convert 4.00 inches to meters?
##4## inches are equivalent to ##0.1016## meters. Each inch is equivalent to ##2.54## ##cms.## Hence ##4## inches are equivalent to ##4xx2.54=10.16## ##cms.## But as each meter is...
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Waiting for answer What is ##3 (  3 6\times 7)##?
48 ##3(3color(red)(6xx7))=## ##3color(red)((342))=## ##3color(red)((45))=## ##3+45=48## In each line I marked the next operation in red. Original answer: (36x7)=45 3...
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Waiting for answer How do you use FOIL to multiply ##(x+h) (x+h)##?
##(x+h)(x+h) = F + O + I + L## ##= (x*x) + (x*h) + (h*x) + (h*h)## ##=x^2 + 2hx + h^2## FOIL is a useful mnemonic to help you remember all the combinations to multiply when multipl...
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Waiting for answer How do you find the square root of 5929?
Factor into primes to find: ##5929 = 7 * 7 * 11 * 11 = (7*11)^2 = 77^2## So ##sqrt(5929) = 77## Let's look for prime factors: ##2##  No  it's not even. ##3##  No  the digits d...
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Waiting for answer What is 9 square root of 40 simplified?
##9sqrt(40)## = ##9sqrt(4*10)## = ##9*2sqrt(10)##=##18sqrt(10)## This is because ##sqrt(A) \times sqrt(B) = sqrt(A\timesB)## so by splitting up 40 into its factors, of 4 and 10 and...
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Waiting for answer What is 1.6 as a fraction?
##8/5## ( as a fraction ) 1.6 is the same as ##1+6/10## Multiply by 1 and you do not change the value. However, 1 comes in many forms. ##color(green)([1color(magenta)(xx1)]+6/10"...
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Waiting for answer The polynomial of degree 5, P(x) has leading coefficient 1,...
##P(x) = x^5+x^45x^3+3x^2## Each root corresponds to a linear factor, so we can write: ##P(x) = x^2(x1)^2(x+3)## ##=x^2(x^22x+1)(x+3)## ##= x^5+x^45x^3+3x^2## Any polynom...
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Waiting for answer How do you convert 0.125 into a fraction and percent?
##1/8## and ##12.5%## Well, first I'm going to begin with converting ##.125## into a fraction. Our first step is to change ##.125## into ##125/1000##. From there, we just simp...
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Waiting for answer How do you evaluate ##b^24ac## for a=1, b=5, and c=2?
Plug in your numbers. ##b^2  4ac## ##{(b=  5), (a = 1), (c = 2) :}## Plug in these values ##(5)^2 + 4 (1)(2)## Since ##5 * (5) = 25## you have ##25+4(1)(2)## S...
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Waiting for answer How do you solve the system ## y=6x  11## and ##2  3y = ...
Given ##"[1] "y=6x11## ##"[2] "23y = 7## from ##"[1]"## we can substitute ##6x11## for ##y## in ##"[2]"## ##"[3] "23(6x11) = 7## ##"[4] " 3(6x11) = 5## ##"[5] " 6x11 = 5/3## ##"[6] " 6x = 38/3## ##"[7] " x = 19/9## Note that ##"[2]"...
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Waiting for answer What does ##(6+4i)/(3i)## equal?
I found: ##7/5+9/5i## In this case you need to first change the denominator into a pure real number; to do that you need to multiply and divide by the complex conjugate of the denomi...
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Waiting for answer What is the square root of (16/25)?
##4/5## ##16/25 = (4*4)/(5*5) = (4/5)*(4/5) = (4/5)^2## So ##sqrt(16/25) = sqrt((4/5)^2) = 4/5## ##4/5## is also a square root of ##16/25##, but by convention when we say the squa...
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Waiting for answer 54 cm is how many inches?
54 cm ≈ 21 Inches In chemistry, you can do a conversion factor. See the image below: (I'm very sorry, this picture has a typo, the 0.492701 In. should be 0.393701 In. I'm very sorr...
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