Question

can someone help see is my answers are true for these questions.

Answer 1

1. Kelly tells you that when variables are in the denominator, the equation becomes unsolvable. "There is a value for x that makes the denominator zero, and you can't divide by zero," Kelly explains. Using complete sentences, demonstrate to Kelly how the equation is still solvable.
my response:
imagine if we have a problem that looks like this:
1/x + 1/(x)^2 = 2
Kelly says that it is impossible because there are the variable x and x^2 in the denominators. she is correct in that there is a value of x that makes the denominator zero (note there can't be no zeros in the denominator).
so you can see what it would look like:
x=0 makes the denominator of 1/x, zero also makes the denominator of 1/x^2=0.
but of course we are looking for the variables that make the whole equation true. not focus on the values of x that make the denominator zeros.
solve the problem:
1/x + 1/(x)^2 = 2
(x +1)/(x)^2 = 2
(x + 1) = 2x^2
check the original equation into the new equation:
1. 1/x+1/(x)^2=2 2.(x+1)=2x^2
x= 1 x= -1/2
2. Jennifer was graphing a function and noticed that at certain points, the graph reaches invisible lines the graph will never cross. Explain to Jennifer what the two types of invisible lines are and how to predict them. You may create your own example to aid in your reasoning. Use complete sentences.
my response:
Jennifer there's 3 types of invisible lines on a graph, but ill be talking about 2. which is the most common hat everybody mainly knows about.
Horizontal, and vertical asymptotes.

To find horizontal asymptotes(HA), you'll have to see what the function will equal when you let 'x' approach infinity.
That's how you can predict finding the HA in a graph.

To find vertical asymptotes(VA), you would need a fraction and would have to determine when the denominator would = to 0.
That's you can predict finding the VA in a graph.

Note(you CANNOT divide by a 0 if it is undefined).
3.Max and Maggie have to clean the house. It takes Max 12 hours to clean the house, while Maggie can complete the task in 4 hours. Their sister says that it will take 3 hours to complete if they work together. Explain each step in solving this equation and determine if the sister is correct or not.
my response:
The sum of their rates is the combined rate but we don't know the combined time, so we'll just have to solve for it.
1/12+1/4=1/t
the LCM of this entire equation is 3*4*t, or in other words 12t. So basically just multiply everything by 12t.
t+3t=12
4t=12
t=3
so she is correct about her statement.
4. When looking at a rational function, Jamal and Angie have two different thoughts. Jamal says that the function is defined at x = −3, x = −4, and x = 6. Angie says that the function is undefined at those x values. Describe a situation where Jamal is correct, and describe a situation where Angie is correct. Is it possible for a situation to exist that they are both correct? Justify your reasoning.
my response:
Angie could be correct.
explanation:
1/(x+3)(x+4)(x-6)
you cannot put zero's in the denominator, so if you put any of those values in the denominator there would be an automatic zero, and of course that can't be allowed.

Jamal could be correct.
explanation:
(x+3)(x+4)(x-6)

If you would look at it this way they both could be correct, why:
(x+3)(x-4)(x-6)/(x+3)(x+4)(x-6)
as you can see not only is the bottom zero, but the top is to, 0/0. So regardless or not the fraction will be zero, so hey maybe in the future zero would be divided in a fraction.
5. It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own.
my response:
Let assume it takes John x hours to complete his car, then it would take Brain x+15 hours to complete his work. now if they do it together they could do it in 4 hours like predicted.
Look at johns part of the work, it takes him about 1/x hours to do a small portion, while looking at Brian it takes him about 1/(x+15) hours to complete a smaller portion of the work , and if you add them both together it would come out to a full hour. Now this must be equal to the time, if they would have worked together which is 4 hours.
1/x + 1/(x+15) = 1/4
now solve it:
x^2 + 15 x = 8x + 60
Now if you solve this you would get the answer 5.
lastly add 15 to get the time Brian had taken.
which would be 20.
so the answer is 20.

Answer 2

@AravindG

Answer 3

@HelloGoodmorning

Answer 4

@jim_thompson5910

Answer 5

@LilliBelle

Answer 6

@Hero

Answer 7

@satellite73

Answer 8

Seriously? Do you expect us to do your entire homework. Post a specific question you have doubt on.

Answer 9

lol people i said help see if they are true like make sese not do lol duuhh common sense wouldve told you that

Answer 10

@PinkSapphire

Answer 11

@whovian1501 @kmullis6 @julieishere21 @Ray_Rae1297 @FContreras12022012 @Quality