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# Recent problems solved by 'MathLover1'

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 logarithm/694868: evaluate the logarithm 1 solutions Answer 428232 by MathLover1(6638)   on 2012-12-16 16:04:45 (Show Source): You can put this solution on YOUR website! ...in base you will have =......... = = =....... =
 Functions/694712: Is this a function: {(x.y) | x^2 +(y-1)^2 = 4}1 solutions Answer 428183 by MathLover1(6638)   on 2012-12-16 11:50:11 (Show Source): You can put this solution on YOUR website!{(x.y) | } What is a ? A relates to . A is a that assigns to a member of , a member of the set. The key word is "". So if you assign say as well as to number , then you a , but a . That is the logic behind the . If you draw a vertical line and it intersects the graph of the function in , then you can see that it means you have assigned both of these points to the point where your vertical line the . An example of this is the , and you have a .
 decimal-numbers/694764: Hi, I am currently struggling with algebra 1. I'm in grade eight. I need to figure out how to write an inverse variation if y varies inversely with x. please tell me how to solve x=3 when y=21 solutions Answer 428175 by MathLover1(6638)   on 2012-12-16 11:10:06 (Show Source): You can put this solution on YOUR website! if varies inversely with , than you have a constant of proportionality which makes then you need to find , the constant of proportionality ... now plug in given values and
Functions/694630: rewrite function f(x)=-1/3x2-2x-9 in the form f(x)=a(x-h)2+k
give x and y intercepts
give domain and range
1 solutions

Answer 428100 by MathLover1(6638)   on 2012-12-15 20:15:57 (Show Source):
You can put this solution on YOUR website!
in the form
 Solved by pluggable solver: Completing the Square to Get a Quadratic into Vertex Form Start with the given equation Error: 'Illegal modulus zero at (eval 1373) line 20. '. Illegal modulus zero at (eval 1373) line 20. error_location: 13

......set
...use quadratic formula to solve for

....so, we have two complex solutions, it means there is no real solutions and there is no

and ......set

....... is at (,)

see it on a graph:

domain:

range:

 Graphs/694626: Can anyone help me graph this inequality? y is less than or equal to 2x + 1 1 solutions Answer 428082 by MathLover1(6638)   on 2012-12-15 18:55:32 (Show Source): You can put this solution on YOUR website!.....first graph it as equation find and to find , set to find , set plot these points and draw a line now shade everything to the right from a line
Graphs/694619: I am having trouble solving the relationship between x and f(x) for the following
input output
-1 3
0 2
1 1
1 solutions

Answer 428079 by MathLover1(6638)   on 2012-12-15 18:46:42 (Show Source):
You can put this solution on YOUR website!
the relationship between and for the following
or
given:
input output
........... or

so, you are given three points which you can plot on a Cartesian coordinate system and graph a line that contains these points
(,)= (,)
(,)= (,)...this is
(,)= (,)
now we can find the equation of a line passing through these points
 Solved by pluggable solver: FIND EQUATION of straight line given 2 points hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (1, 1) and (x2, y2) = (0, 2). Slope a is . Intercept is found from equation , or . From that, intercept b is , or . y=(-1)x + (2) Your graph:

so,the equation of a line passing through these points is where and
now we can check if all three given points lie on this line

as you can see, all three given points do lie on this line

 Probability-and-statistics/694369: Find each probability a. P(5;4) b. P(2;4) c. P(6;3) d. P(10;7) e. P(9;8) Part 2 A copy machine randomly puts out 10 blank sheets per 500 copies processed. Find the probability that in a run of 300 copies, 5 sheets of paper will be blank. Part 3 A recent study of robberies for a certain geographic region showed an average of 1 robbery per 20,000 people. In a city of 80,000 people, find the probability of the following: a. 0 robberies b. 1 robbery c. 2 robberies d. 3 or more robberies part 4. In a 400 page manuscript, there are 200 randomly distributed misprints. If a page is selected, find the probability that it has 1 misprint.1 solutions Answer 427900 by MathLover1(6638)   on 2012-12-14 18:17:25 (Show Source): You can put this solution on YOUR website!1. Probability of event that occurs: Probability of event that does not occur: (') = (') = (')= 2. A copy machine randomly puts out 10 blank sheets per 500 copies processed. the probability that in a run of copies, sheets of paper will be blank is ≈ 3. The Binomial distribution has the probability function =,,,....., where For people, we expect robberies. a) use the source to compute Using Poisson with b) Using Poisson with lambda=4 c) d) p( highlight(x >=3))= p( 3 through 20000) This uses normal approximation instead of Binomial because is too large and is too small. 4. Presuming there are of total pages with misprints, there is a % probability of discovering one on any given page. which is %
 Quadratic_Equations/694354: Please help me solve this equation: 3x^2 - 9x + 1 = 01 solutions Answer 427843 by MathLover1(6638)   on 2012-12-14 13:42:07 (Show Source): You can put this solution on YOUR website! ...use quadratic formula ..you have ,, and solutions: or
 Expressions-with-variables/694336: 48>=6-7a 1 solutions Answer 427836 by MathLover1(6638)   on 2012-12-14 11:53:53 (Show Source):
 Numeric_Fractions/694337: 18a^2 + 4 - [6 (a^2 - 2) + 5] =1 solutions Answer 427835 by MathLover1(6638)   on 2012-12-14 11:48:12 (Show Source): You can put this solution on YOUR website! ...first multiply =..add =..eliminate parentheses , be careful with a minus sign in front of parentheses = = =
 Probability-and-statistics/694295: The sum of the probabilities of complementary events is equal to 1. Choose one answer. a. True b. False Question 3 Marks: 3 Thirty people were asked about their favorite color, 10 said red, 15 said green, and 5 said blue. What is the probability that a person chosen has a favorite color of red or blue? Choose one answer. a. 50% b. 83% c. 33% d. 67% 1 solutions Answer 427829 by MathLover1(6638)   on 2012-12-14 11:11:31 (Show Source): You can put this solution on YOUR website!1. answer: a. The sum of the probabilities of complementary events is . P(A) + P(A') = 2. answer is: a. % if red,the probability a person chosen has a favorite color of red is and if blue, the probability a person chosen has a favorite color of blue is so, the probability a person chosen has a favorite color of red and blue is ≈ or %
 Surface-area/694290: slant height of frustum of cone is 5cm .if difference between radius of its two circular ends is 4cm .write the height of frustum. 1 solutions Answer 427820 by MathLover1(6638)   on 2012-12-14 09:27:22 (Show Source): You can put this solution on YOUR website! make a sketch of its cross section and draw in the height I see a right -angled triangle with height h, so that ...where and are of the base, is , and is given: the difference between radius of its two circular ends is ....plug in given values as you can see, the infamous right-angled triangle
 Triangles/694162: In a triangle, angle A is 60 percent of angle C, and angle B is 150 percent of angle A. How many degrees does the smallest angle of the triangle measure?1 solutions Answer 427766 by MathLover1(6638)   on 2012-12-13 21:06:08 (Show Source): You can put this solution on YOUR website!In a triangle the sum of angles is degrees. if angle is percent of angle ,than .....=>... and if angle is percent of angle , than ....=>...=>... so, plug it in .....solve for =>... =>... so, the smallest angle of the triangle measure
 Numeric_Fractions/694156: What is negative 4 times two-thirds?1 solutions Answer 427762 by MathLover1(6638)   on 2012-12-13 20:53:35 (Show Source):
 logarithm/694145: 2lnx=3ln41 solutions Answer 427755 by MathLover1(6638)   on 2012-12-13 20:46:51 (Show Source): You can put this solution on YOUR website! ...we take only positive root so,
Graphs/693896: What is the slope of the line passing through the points (2, 5) and (0, -4?
1 solutions

Answer 427617 by MathLover1(6638)   on 2012-12-13 12:09:32 (Show Source):
You can put this solution on YOUR website!

 Solved by pluggable solver: FIND EQUATION of straight line given 2 points hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (2, 5) and (x2, y2) = (0, -4). Slope a is . Intercept is found from equation , or . From that, intercept b is , or . y=(4.5)x + (-4) Your graph:

 Money_Word_Problems/693846: How much simple interest would be paid on a loan of $2720 at 14% for 3 years?1 solutions Answer 427580 by MathLover1(6638) on 2012-12-13 09:18:00 (Show Source): You can put this solution on YOUR website! Simple interest is calculated on the original principal only. where: = principal (original amount borrowed or loaned) = interest rate for one period = number of periods so, if you have a loan of$ at % annually for years, you will pay:   \$
 Angles/693845: How to calculate complementary angle of 20 degree 5 minute. If i subtract 90 degree - 20 degree 5 minute i get 89 degree 60 minute - 20 degree 50 minute = 69 degree 10 minute. But ans should be 69 degree 5 minute. How to get this. Please help.1 solutions Answer 427578 by MathLover1(6638)   on 2012-12-13 09:05:55 (Show Source): You can put this solution on YOUR website! ° - °' °' - °' (° - °)+('-') (°'.....answer so, ans could not be degree minutes because you subtracting ' from '
 Geometry_Word_Problems/693724: a cubic iron grid has side length 10m. find the length of the diagonal brace of the cube1 solutions Answer 427525 by MathLover1(6638)   on 2012-12-12 22:15:48 (Show Source): You can put this solution on YOUR website!given: side length use Pythagorean theorem to find first the length of shorter diagonal : now we can find longer diagonal () as a hypotenuse of a right-angle triangle
Linear-equations/693431: Graph a line going through (4,-1) that is parallel to 3x - y = 5x + 2y
Thank you
1 solutions

Answer 427393 by MathLover1(6638)   on 2012-12-12 14:07:50 (Show Source):
You can put this solution on YOUR website!

a line going through (,) that is parallel to

first solve for

.......move to the right and to the left

 Solved by pluggable solver: Finding the Equation of a Line Parallel or Perpendicular to a Given Line Since any two parallel lines have the same slope we know the slope of the unknown line is (its from the slope of which is also ). Also since the unknown line goes through (4,-1), we can find the equation by plugging in this info into the point-slope formula Point-Slope Formula: where m is the slope and (,) is the given point Plug in , , and Distribute Multiply Subtract from both sides to isolate y Combine like terms So the equation of the line that is parallel to and goes through (,) is So here are the graphs of the equations and graph of the given equation (red) and graph of the line (green) that is parallel to the given graph and goes through (,)

 Functions/693436: how do i do Given the function, (1/3X) + 3/4 = Y, what is Y when X = 1?1 solutions Answer 427392 by MathLover1(6638)   on 2012-12-12 13:59:35 (Show Source): You can put this solution on YOUR website!if you have this: , what is when plug in but, if you have this: , what is when plug in as you can see, in both cases the solution happens to be same
 test/693332: 1 + 1 =1 solutions Answer 427364 by MathLover1(6638)   on 2012-12-12 09:48:01 (Show Source): You can put this solution on YOUR website!test is OK...post your question
 Trigonometry-basics/693319: (x+(x^-2))/(1+(x^-2))1 solutions Answer 427360 by MathLover1(6638)   on 2012-12-12 09:37:08 (Show Source): You can put this solution on YOUR website! roots: real root .....=>....... =>....... complex root ....=>.......=>.... because you have , and because denominator cannot be equal to zero. you have a domain: and the range is:
 Expressions-with-variables/693317: I have a question about elimination i have alot of trouble doing it and i need help understanding whats its used for and how its different from substitutions. it would be really great if you could help thank. sincerly,user1 solutions Answer 427355 by MathLover1(6638)   on 2012-12-12 09:19:01 (Show Source): You can put this solution on YOUR website!here is very good explanation for your question: about elimination W3C click on this link about substitution W3C click on this link
 Graphs/692901: Sketch a graph and shade in the portion that would represent the solution x + y > 2 1 solutions Answer 427133 by MathLover1(6638)   on 2012-12-11 14:03:51 (Show Source):