Algebra Homework Answers & Questions

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  • Waiting for answer 2x. -5 when X equals 3?

    ##1## To evaluate ##2x-5## at ##x=3##, we replace every instance of ##x## in the given expression with a ##3##. ##2color(red)(x)-5 - 2color(red)((3))-5## Then we evaluate the new...

  • Waiting for answer What is an equation of the line that passes through the poin...

    ##y = -2x - 13## Perpendicular lines ##L## and ##L'## with slopes ##m## and ##m'##, respectively, have the following property with the slopes ##m = -1/m## In case the is 0, the sl...

  • Waiting for answer How to solve two step equations ##-9x+1=-80##?

    Take ##1## to th right changing sign: ##-9x=-1-80## ##-9x=-81## Divide both sides by ##-9##: ##x=-81/-9=9##

  • Waiting for answer What does ##(e^(ix)+e^(-ix))/(2)## equal?

    ##cosh(ix)## This follows directly from the definition of the hyperbolic cosine function

  • Waiting for answer How many inches is 1/3 of 8 yards?

    96 inches One yard is 3 feet, so 8 yards is 24 feet. 24 feet divided by 3 is 8 feet, times 12 is 96 inches.

  • Waiting for answer How many ounces are in one and a half quarts?

    48 ounces. 1 quart is 31.99 ounces. So, ##1.5×32=48##

  • Waiting for answer How do you find the square root of 500?

    ##10sqrt5## ##sqrt500## = ##sqrt(5*100)## (Finding factors in which one is a perfect square) = ##10sqrt5## (Extracting 100 since it is a perrfect square)

  • Waiting for answer The graph of y= -x passes through which quadrants?

    The graph ##y=-x## passes through the 2nd and 4th quadrants. The diagram below indicates the four quadrants on a graph. The graph below is ##y=-x##. graph{y=-x [-10, 10, -5, 5]}

  • Waiting for answer What is the square root of 6 in simplest radical form?

    The square root pf a number can be simplified only if the number is divisible by a perfect square (other than 1). ##sqrt12## can be simplified because ##12## is divisible by ##4## -- a perfect square. ##sqrt12 = sqrt(4xx3) = sqrt4xxsqrt3=2sqrt3## ##sqrt250## can be simplified because ##250## is di...

  • Waiting for answer What is the value of f(-10) as a simplified fraction?

    ##f(-10) = -5/42## Substitute -10 for each occurrence of ##x## in the function: ##f(-10) = (-10)/(-10^2 - 16)## ##f(-10) = (-10)/(100 - 16)## ##f(-10) = -10/84## ##f(-10) = 2/2 *...

  • Waiting for answer The area of a rectangular floor is described by the equation...

    ##(w-21)(w+12)## Given: ##w(w-9)=252## Multiply everything inside the brackets by ##w## ##= w^2-9w=252## Subtract 252 from both sides ##w^2-9w-252=0## Factors of 252 that have a...

  • Waiting for answer What is a composite number between 70 and 80?

    All numbers except ##{71,73,79}## are composite numbers between 70 and 80 i.e. ##{70,72,74,75,76,77,78,80}## are composite numbers. All numbers which are not are composite numbers...

  • Waiting for answer Is ##8y=x## a direct variation, inverse variation, joint or...

    The variation is direct. ##8color(red)(y=x## so, ## x = ky## Here ##color(red)(x,y) ## are variables and ##color(blue)(8## is the constant which is a fixed value for the variation....

  • Waiting for answer How do you convert .375 into a fraction and percent?

    ##0.375-=375/1000 -=37.5%## The third decimal place is measuring in the thousandth's. So 0.375 is equivalent to ##375/1000## Properly written as: ##0.375-=375/1000## '~~~~~~~~~~~~~...

  • Waiting for answer Dorothy types 120 words per minute. How many words does Doro...

    210 words. Firstly note that ##1.75=1 3/4## as a mixed number. and that ##1 3/4=7/4" as an improper fraction."## ##rArr(120" words")/(1"min")=(x" words")/(7/4"min")## and ##color...

  • Waiting for answer Jane, Tony, and Keith sent a total of 119 text messages ov...

    Tony 24, Jane 19, and Keith 76. Let's call the number of messages sent by Tony ##t## Then Jane has sent ##(t-5)## (5 less than Tony) And Keith has sent ##4( t - 5)##. (4 times as...

  • Waiting for answer 72 pints is equal to how many gallons?

    72 pints##=##9 gallons 1 gallon##=8## pints or 1 pint##=1/8## gallons So, 72 pints##=1/8xx72=9## gallons

  • Waiting for answer How do you solve the quadratic equation by completing the sq...

    I found: ##x_1=10## ##x_2=2## Rearrange your equation: ##x^2-12x=-20## add and subtract ##36##; ##x^2-12xcolor(red)(+36-36)=-20## ##x^2-12x+36=-20+36## so you can write: ##color(blue...

  • Waiting for answer How do you solve ##5\times 4- ( ( 8+ 7) \div 5+ 1)##?

    So what you do to solve this question is since there are parentheses you would do the inside pair first which is 15. Next you would do 15 divided by 5 which is 3 then you would add 1 to the 3 which would be 4. Now that the you have the 4 you will start from the beginning and do 5 times 4 and that...

  • Waiting for answer How do you factor ## x^3 - 1##?

    ##x^3-1=(x-1)(x^2+x+1)=(x-1)(x-w)(x*w^2)## where ##w=-1/2+isqrt(3)/2## Depending on whether you are factorising you polynomial in ##RR## or ##CC##. Basically, you should use the factor theorem, so try reals that solves the equation, you should try all integer factors of -1, so +1 and -1. By tryin...

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