Algebra Homework Answers & Questions

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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Waiting for answer 30 is 15% of what number?
##200## Let ##x## be the number: Then, ##rarr15/100(x)=30## ##rarr3/20(x)=30## ##rarr(3x)/20=30## ##rarr3x=20*30## ##rarr3x=600## ##rarrx=600/3=200##
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Waiting for answer What is the radius of a circle with circumference of 13 ft?
The radius is 2.07 ft. To solve we will be using Circumference, Diameter, radius, and Pi Circumference is the perimeter of the circle. Diameter is the distance across the circle goin...
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Waiting for answer What is 9/2 into a mixed number?
##9/2 = 4 1/2## An improper fraction means that all the whole numbers are given as fractions. 'Counting in halves' would be: ##1/2" "2/2" "3/2" "4/2" "5/2" "6/2" "7/2"...
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Waiting for answer Find the equation of circle with centre (1,2),touching the...
##25x^2+25y^250x+100y131=0## Firstly we can find the perpendicular distance of the straight line ##4y3x=5## from center ##(h,k)=(1,2)## by using the equation; distance##=ah+bk+...
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Waiting for answer What is the new Transposing Method to solve linear equations...
The Transposing Method transposes the algebraic terms (numbers, parameters, expression...) from side to side of the equation by changing them to the opposite signs, while keeping the equation balanced. This method has many advantages over the balancing method...
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Waiting for answer How do you write 2.5 as a fraction?
5/2 is 2.5 as a fraction. 2.5 is half of 5, then to get that you put 5/2. Therefore 2 goes into 5 2.5 times.
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Waiting for answer How do you find the quotient of 18/1000?
##18/1000 = 0.018## "quotient" simply means the result of a division. ##18/1=18 div 1 = 18## ##18/10=18 div 10 = 1.8## ##18/100=18 div 100 = 0.18## ##18/1000=18 div 1000 = 0.018#...
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Waiting for answer The sum of three consecutive odd numbers is 111. What is the...
The smallest of the three numbers is ##35##. Consecutive odd numbers increase (or decrease) by an amount of ##2##. For example, observe ##1##, ##3##, and ##5##. To get from one to...
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Waiting for answer A Big Burger has 1/4 pound of meat and a superburger has 1/3...
The superburger contains ##1/12## pound more meat than the Big Burger. We represent the extra meat in the superburger by ##x##. The equation will be: ##x=1/31/4## Multiply all fac...
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Waiting for answer What is 35% as a fraction in the simplest form?
##7/20## ##35% = 35/100## Divide top and bottom by 5: ##35/100 * (1/5)/(1/5) = 7/20##
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Waiting for answer How do you solve for variable w in the equation ##v=lwh##?
The point of an equation is to keep an equality, so anytime you apply something on one side of the equation, you have to make sure you apply the exact same thing on the other side. Starting with ##v=lwh## Your goal is to find what is ##w## In order to solve it I will apply different division on bot...
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Waiting for answer How do you simplify the cubed root of 150?
##color(green)("Depending on the interpretation of the question:")## ##color(blue)(750sqrt(6)" ") color(brown)(" As an exact value (decimals are not always exact)")## Braking the qu...
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