Algebra Homework Answers & Questions

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  • 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+3x-4)=0 [-20, 20, -11, 11]...

  • Waiting for answer What is the square root of 63 in simplest radical form?

    ##3sqrt7## ##sqrt63## ##sqrt(9*7)## ##sqrt(3*3*7)## ##3sqrt7##

  • 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,...

  • 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:

  • 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.

  • 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...

  • 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...

  • 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...

  • Waiting for answer What is ##3- ( - 3- 6\times 7)##?

    48 ##3-(-3-color(red)(6xx7))=## ##3-color(red)((-3-42))=## ##3color(red)(-(-45))=## ##3+45=48## In each line I marked the next operation in red. Original answer: (-3-6x7)=-45 3--...

  • 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...

  • 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...

  • 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...

  • 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"...

  • Waiting for answer The polynomial of degree 5, P(x) has leading coefficient 1,...

    ##P(x) = x^5+x^4-5x^3+3x^2## Each root corresponds to a linear factor, so we can write: ##P(x) = x^2(x-1)^2(x+3)## ##=x^2(x^2-2x+1)(x+3)## ##= x^5+x^4-5x^3+3x^2## Any polynom...

  • 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...

  • Waiting for answer How do you evaluate ##b^2-4ac## 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...

  • Waiting for answer How do you solve the system ## y=6x - 11## and ##-2 - 3y = -...

    Given ##"[1] "y=6x-11## ##"[2] "-2-3y = -7## from ##"[1]"## we can substitute ##6x-11## for ##y## in ##"[2]"## ##"[3] "-2-3(6x-11) = -7## ##"[4] " -3(6x-11) = -5## ##"[5] " 6x-11 = 5/3## ##"[6] " 6x = 38/3## ##"[7] " x = 19/9## Note that ##"[2]"...

  • Waiting for answer What does ##(6+4i)/(3-i)## 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...

  • 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...

  • 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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