Algebra Homework Answers & Questions

Waiting for answer How many centimeters is 5.67 inches?
So 5.67 inches is 14.408 cm The explanation takes a lot longer than the actual calculation. If you are ever not sure what to do with conversion use ratio. Also look at the way the u...
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Waiting for answer Find the remainder when ##(x3)^200  (x2)^100## is divided...
##r(x) = 2x+5## Calling ##P(x) = (x3)^200  (x2)^100## and ##p(x) =x^2 5x+6 = (x2)(x3) ## we have ##P(x) = p(x)Q(x)+r(x)## in which ##Q(x)## is the quocient polynomial and...
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Waiting for answer How do you solve compound inequalities?
The same way you would solve normal inequalities, only there are more sides to the inequality now. So it would look something like this: SOMETHING ≤ X SOMETHING ELSE Remember: what you do to one side you do it ALL sides 1.##3≤2x1 5## 2.##3+1≤2x1+1 5+1## 3.##2/2≤(2x)/2 6/2## 4.##1≤x 3#...
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Waiting for answer How many planes can be made to pass through three distict po...
If the points are colinear then an infinite number of planes can be made to pass through them. If three distinct points are noncolinear then exactly one plane passes through them. L...
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Waiting for answer What is 29 degrees celsius in fahrenheit?
##color(blue)("Fahrenheit temperature "=(29xx9/5)+32 = 84.2^o F )## The numbers to remember are 5, 9 and 32 Fahrenheit are the lager number when comparing like temperature for like...
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Waiting for answer How do you find the square root of 81?
It is ##\pm9##. ##81=9*9## then the square root of ##sqrt(81)=9##. Because the double multiplication for the same sign is always positive, the square root is also valid with the othe...
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Waiting for answer How many red cards must be added to 6 black cards so that th...
15 We have (B)lack cards and (R)ed cards. We start with ##B=6## and want to add R so that the odds of drawing 2 R, without replacement, is ##1/2##. How many R must we add? The odds...
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Waiting for answer What are factors of 17?
##1 and 17## Since ##17## is a prime number, it has only 2 factors namely ##1## and itself. These are the only 2 numbers which can divide perfectly into it without leaving a remainde...
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Waiting for answer A ladder is 110 inches tall. How tall is it in feet and inch...
9 feet and 2 inches There 12 inches in one foot therefore 9 feet = 108 inches and 2 remaining. 9 feet 2 inches
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Waiting for answer What is the domain of the function ##f(x)=sqrt(6  2x)##?
In this case you do not want a negative argument for the square root (you cannot find the solution of a negative square root, at least as a real number). What you do it is to "impose" that the argument is always positive or zero (you know the square root of a positive number or zero). So you set t...
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Waiting for answer How do you find the Least common multiple of 20, 30?
##lcm(20,30)=60## multiples of 20:##" "{20,40,60,80,100,120,140,160,180..}## multiples of 30:##" "{30,60,90,120,150,180,...}## common multiples;##" "{60,120,180...}## ##lcm(20,30)...
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Waiting for answer How do you find the y coordinate of the vertex of a parabola...
The ycoordinate of the vertex of a parabola in ##y=ax^2 + bx + c## is ##k = (4ac  b^2)/(4a)## explanation: The vertex of a parabola, written in ##y= ax^2 + bx + c## , denoted by the ordered pair ( h, k ) in which h is the xcoordinate and k is the ycoordinate is obtained using the formulas bel...
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Waiting for answer Which lengths represent the lengths of the sides of a scalen...
##3,4,5" "## A scalene triangle by definition has three unequal sides. ##4,4,5 and 12,7, 7## are isosceles triangles because they have two equal sides . ##15,15,15 " "##is an...
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Waiting for answer How do you simplify Square root of 63  Square root of 28?
##sqrt (7)## ##sqrt (63)##  ##sqrt (28)## the factors of 63 are 7 and 9. 9 is a perfect square so therefore ##sqrt (63)## is ##3sqrt (7)## the factors of 28 are 7 and 4. 4...
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Waiting for answer The tallest man ever recorded was Robert Wadlow, who was 272...
247.52 centimeters. To find this answer, you have to find 91% of Robert Wadlow's height. To do that, you multiply 272 by 0.91, which gives you the height of Zeng Jinlian.
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Waiting for answer How do you solve a percent change equation?
You have to use this formula: %change = ((new amount  original amount) / original amount) x 100 For example, if you originally had an investment of $300 and 5 years later you had $326.25 in your account and you want to see the percent change, you'd use the formula above % change=((326.25300)/300...
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Waiting for answer Omar bought 10 pounds of rice for $6. How many dollars did h...
##0.6 $## we have : 10 pounds of rice ## 6$## 1 pound of rice ## x$## we need to find ##x## ##x/1 = 6/10  x = (6xx1)/10 = 3/5 = 0.6## I hope that was clear
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Waiting for answer Is ##4x^2 + 28x + 49## a perfect square trinomial and how do...
Yes it is. ##4x^2+28x+49 = (2x+7)^2## All perfect square trinomials are of the form: ##a^2+2ab+b^2 = (a+b)^2## In this case ##a = 2x## and ##b=7## ... ##4x^2+28x+49## ##=(2x)^...
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Waiting for answer How many mL is 1.06 L of water equivalent to ?
##1.06l xx1000 = 1060ml## To convert litres to millilitres, you multiply by 1000. If you convert to a smaller unit, the number gets bigger. ##1.06l xx1000 = 1060ml##
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Waiting for answer One inch is ##1/12## of a foot. Eunice has a puppy that is #...
Answer is 9 inches. If one inch is 1/12 of a foot, then 1 ft = 12 inches Through unit conversion, ##(3/4)(12)=9## inches
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