Algebra Homework Answers & Questions

Waiting for answer 2x. 5 when X equals 3?
##1## To evaluate ##2x5## 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...
$10.00 
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...
$10.00 
Waiting for answer How to solve two step equations ##9x+1=80##?
Take ##1## to th right changing sign: ##9x=180## ##9x=81## Divide both sides by ##9##: ##x=81/9=9##
$10.00 
Waiting for answer What does ##(e^(ix)+e^(ix))/(2)## equal?
##cosh(ix)## This follows directly from the definition of the hyperbolic cosine function
$10.00 
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.
$10.00 
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##
$10.00 
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)
$10.00 
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]}
$10.00 
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...
$10.00 
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 *...
$10.00 
Waiting for answer The area of a rectangular floor is described by the equation...
##(w21)(w+12)## Given: ##w(w9)=252## Multiply everything inside the brackets by ##w## ##= w^29w=252## Subtract 252 from both sides ##w^29w252=0## Factors of 252 that have a...
$10.00 
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...
$10.00 
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....
$10.00 
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## '~~~~~~~~~~~~~...
$10.00 
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...
$10.00 
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 ##(t5)## (5 less than Tony) And Keith has sent ##4( t  5)##. (4 times as...
$10.00 
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
$10.00 
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^212x=20## add and subtract ##36##; ##x^212xcolor(red)(+3636)=20## ##x^212x+36=20+36## so you can write: ##color(blue...
$10.00 
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...
$10.00 
Waiting for answer How do you factor ## x^3  1##?
##x^31=(x1)(x^2+x+1)=(x1)(xw)(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...
$10.00