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Tutors Answer Your Questions about Number-Line (FREE)
Question 281116: I am 3 tenths less then 5 times 7. Who am I?
Answer by richwmiller(3756)   (Show Source):
Question 278894: My 10 year old daughter has been given the number line 99 100 199 227 406 460 466 644 to solve and even her teacher can't work it out, can you help???!!
Answer by ladyVenny(3)  (Show Source):
You can put this solution on YOUR website!the simple answer is put them all in order from least to greatest add them all up and divide the answer by how many ever numbers there are
Question 278162: locate 7/6 on a number line
Answer by checkley77(9411) (Show Source):
You can put this solution on YOUR website!0-----1/6-----2/6-----3/6-----4/6-----5/6-----6/6-----7/6-----8/6
--------------1/3-------------2/3--------------1--------------1 1/3
Question 272457: I have solved this inequality and I want to know how to graph it on a number line:
My answer is:
-2 is greater than b OR b is equal to and greater than -3. Does my line go on forever on each side of does it stop at -3 and -2?
Thank you.
Answer by richwmiller(3756) (Show Source):
You can put this solution on YOUR website!The number line goes on forever but we obviously only use a part of it.
-2>b or b>=-3
I assume you mean equal to or greater than -3 since a number can't be both equal to and greater than -3
so your b is b>-3
if your inequality had said -2>b and b>-3 then we would be limiting b to between -2 and -3 but it doesn't
Question 276039: On three consecutive passes, a football team gains 7 yards, loses 10 yards, and gains 31 yards. What number represents the total net yardage? The total net yardage is how many yards? Type a number with a negative sign or type a positive number with no sign.
Answer by richwmiller(3756) (Show Source):
Question 275871: the first number is 0, then 3 blanks, then 68?
Answer by solver91311(6137)  (Show Source):
Question 275266: What do ( and [ mean when graphing on a number line??
Answer by jim_thompson5910(14914) (Show Source):
Question 272369: how would one graph the fraction 7/4 on a number line?
Answer by Edwin McCravy(3624) (Show Source):
Question 271970: Will someone please look this over to make sure I have it solved correctly?
Using the difference quotient f(x+h)-f(x)/h:
g(x) = 4x^2-5
4(x+h)^2-5-(4x^2-5)/h
4(x+h)(x+h)-5-4x^2+5/h
4(x^2+hx+hx+h^2)-5-4x^2+5/h
4x^2+8hx+4h^2-5-4x^2+5/h
4h^2+8hx/h
Answer 4h+8x
Answer by dabanfield(599) (Show Source):
You can put this solution on YOUR website!Using the difference quotient f(x+h)-f(x)/h:
g(x) = 4x^2-5
1. 4(x+h)^2-5-(4x^2-5)/h
2. 4(x+h)(x+h)-5-4x^2+5/h
3. 4(x^2+hx+hx+h^2)-5-4x^2+5/h
4. 4x^2+8hx+4h^2-5-4x^2+5/h
5. 4h^2+8hx/h
Answer 4h+8x
In step 3 you have:
4(x^2+hx+hx+h^2)-5 - (4x^2-5)/h
4x^2 + 8hx + 4h^2 - 5 - 4x^2/h + 5/h
I wonder if the problem shouldn't really be:
[g(x+h) - g(x)]/h ?
Question 271968: I have to evaluate this function:
g(t) = -3t^2-t; find g(t/3).
What I have so far is -3(t/3)^2 - t/3.
Is that correct so far? And I'm not even sure where to go from here. Help please!
Thanks
Answer by Alan3354(8274)  (Show Source):
You can put this solution on YOUR website!I have to evaluate this function:
g(t) = -3t^2-t; find g(t/3).
What I have so far is -3(t/3)^2 - t/3.
-------------------
That's a good start
= -3*(t^2/9) - t/3
= -t^2/3 - t/3
It can be rearranged into different versions
= (-1/3)*(t^2 + t)
= (-t/3)*(t+1)
Question 271960: I have to write the slope-intercept form of the equation of the line described:
through (-4,1) perpendicular to y = 5.
y = 5 is a 0 slope so I'm not sure where to go from her. Can you help me through this please?
Found 2 solutions by Edwin McCravy, stanbon:
Answer by Edwin McCravy(3624) (Show Source):
You can put this solution on YOUR website!I have to write the slope-intercept form equation of the line described:
Y = 5 is a zero slope so I don't know where to go from here. Can you guide me through this?
Thanks
through (-4,1) perpendicular to y = 5.
This is a vertical line, which is the only case where
there is no slope-intercept form. However there is an
equation for it.
Let's begin by drawing the line whose equation is y = 5.
I'll draw it green. I'll also plot the point (-4,1)
)}}}
Now we'll draw a blue line through (-4,1) which is perpendicular
to the green line
The way to determine its equation is to look at several points
on that blue vertical line and to observe what one thing is true about
all of them:
Lets look at some points on that blue vertical line:
Notice what all those points
(-4,5), (-4,3), (-4,1), (-4,-3), (-4,-5), (-4,-8)
have in common. They all have their x-coordinates
equal to -4. So all we do is write that the x
value on every point on that line is -4, and to do that
we simply write the simple equation
x = -4
That equation is only true for points on that line,
so that is the equation of the blue vertical line. There
is no slope-intecept for it because there is no "m",
because vertical lines do not have a slope. There is
also no "b" because vertical lines have no y-intercept.
So the only thing we can do is write the simple equation
which describes every point on that blue vertical line, which
is x = -4.
Edwin
Answer by stanbon(29602) (Show Source):
You can put this solution on YOUR website! I have to write the slope-intercept form of the equation of the line described:
through (-4,1) perpendicular to y = 5.
y = 5 is a 0 slope so I'm not sure where to go from her.
--------------------------------
Right you are.
Draw the line y=5.
Plot the point (-4,1)
Do this so you can see what the problem requires.
----
If the line if perpendicular to y = 5 it must be a vertical line.
And that vertical line must pass thru (-4,1).
---
So draw a vertical line that passes thru (-4,1)
===============================
Now you have to notice that vertical line passes
thru all the points where x = -4.
THAT equation is the answer to your problem.
=================================================
Cheers,
Stan H.
Question 271962: I have to evulate this function:
h(x) = x^3-5x^2; Find h(-3x)
The answer I have is (-3x)^3 - 5(-3x)^2 Is this totally solved or are ther more steps I need to do?
Thanks
Answer by palanisamy(445) (Show Source):
Question 271957: I have to write the slope-intercept form equation of the line described:
through (-4,1) perpendicular to y = 5.
Y = 5 is a zero slope so I don't know where to go from here. Can you guide me through this?
Thanks
Found 2 solutions by Edwin McCravy, richwmiller:
Answer by Edwin McCravy(3624) (Show Source):
You can put this solution on YOUR website!I have to write the slope-intercept form equation of the line described:
Y = 5 is a zero slope so I don't know where to go from here. Can you guide me through this?
Thanks
through (-4,1) perpendicular to y = 5.
This is a vertical line, which is the only case where
there is no slope-intercept form. However there is an
equation for it.
Let's begin by drawing the line whose equation is y = 5.
I'll draw it green. I'll also plot the point (-4,1)
)}}}
Now we'll draw a blue line through (-4,1) which is perpendicular
to the green line
The way to determine its equation is to look at several points
on that blue vertical line and to observe what one thing is true about
all of them:
Lets look at some points on that blue vertical line:
Notice what all those points
(-4,5), (-4,3), (-4,1), (-4,-3), (-4,-5), (-4,-8)
have in common. They all have their x-coordinates
equal to -4. So all we do is write that the x
value on every point on that line is -4, and to do that
we simply write the simple equation
x = -4
That equation is only true for points on that line,
so that is the equation of the blue vertical line. There
is no slope-intecept for it because there is no "m",
because vertical lines do not have a slope. There is
also no "b" because vertical lines have no y-intercept.
So the only thing we can do is write the simple equation
which describes every point on that blue vertical line, which
is x = -4.
Edwin
Answer by richwmiller(3756) (Show Source):
You can put this solution on YOUR website!What line is perpendicular to a zero slope?
x=?
and in this case x=-4 from the given point.
so an equation is x=-4
with undefined slope.
Question 271842: I have to write slope-intercept equation for the line through the given points:
(-1,-2) and (-1,2)
When I use the slope formula to find the slope I get 4/0 which is undefined. What would my equation be then?
Answer by dabanfield(599) (Show Source):
You can put this solution on YOUR website!I have to write slope-intercept equation for the line through the given points:
(-1,-2) and (-1,2)
When I use the slope formula to find the slope I get 4/0 which is undefined. What would my equation be then?
You are correct. The slope is not defined. In this case the line is a vertical line passing through the x-axis at (-1,0). The equation for this line is
x = -1
Question 270980: how to graph 0.5≤x<4 on a number line
Answer by rfer(3367) (Show Source):
Question 270655: on a number line, y = -1 and z = 2. If the ratio of the segments (from x to y) to (from y to z) is 1 : 3, find the location of x.
Answer by Greenfinch(311)  (Show Source):
Question 270154: Please help me solve this step by step:
5|5x-7|is greater than or equal to 110
I have to graph it and put into interval also.
Thanks
Answer by Theo(1331)  (Show Source):
You can put this solution on YOUR website!Your equation is:
5*|5x-7| >= 110
If the expression within the absolute value sign is positive, then the expression becomes:
5*(5x-7) >= 110
Simplify this equation to get:
25x - 35 >= 110
Add 35 to both sides of this equation to bet:
25x >= 110+35 = 145
Divide both sides of this equation by 25 to get:
x >= 145/25 = 5.8
If the expression within the absolute value sign is negative, then the equation becomes
5 * (-(5x-7)) >= 110
Simplify this equation to get:
5 * (-5x + 7) >= 110
Simplify further to get:
-25*x + 35 >= 110
Subtract 35 from both sides of this equation to get:
-25*x >= 110-35 = 75
Divide both sides of this equation by -25 to get:
x <= 75/-25 = -3
The answer to your question should be
x >= 5.8 or x <= -3
You have to confirm these answers are good by testing with values inside the limits and outside the limits.
When x = 5.8, 5 * |5x-7| >= 110 becomes 5 * |29-7| = 5*22 = 110 which is true because the equation says >= and this is =.
When x = -3, 5* |5x-7| >= 110 becomes 5 * |-15-7| = 5*|-22| = 5*22 = 110 which is also true because the equation says >= and this is =.
When x = 0, 5*|5x-7| >= 110 becomes 5*|-7| = 5*7 = 35 which is NOT true because 35 is not greater than or equal to 110.
Since when x = 0, it is NOT greater than 5.8 and it is NOT less than -3, this is good because the equation should NOT have been satisfied when x = 0.
When x = -5, 5 * |5x-7| >= 110 becomes 5 * |-25-7| becomes 5 * |-32| becomes 5 * 32 = 160 >= 110 which is true.
When x = 7, 5 * |5x-7| >= 110 becomes 5 * |35-7| becomes 5 * |28| becomes 5 * 28 = 140 >= 110 which is true.
The answer looks good.
When we are within the stated limits of x, our equation becomes true.
When we are outside the stated limits of x, our equation becomes false.
Your answer is:
x >= 5.8 or x <= -3
In terms of intervals this would appear as (-infinity,-3] union [5.8,infinity}
A graph of your equation would look like this:
If you draw a vertical line at x = -3 and a vertical line at x = 5.8, you will see that the value of y is greater than or equal to 110 to the left of the x = -3 vertical line and to the right of the x = 5.8 vertical line.
All of this stems from the basic definition of absolute value that states:
absolute value of x = x if x is positive, and equals -x if x is negative.
The "x" in this case is the expression (5x-7) that is within the absolute value sign.
the absolute value of 5x-7 equals 5x-7 if the expression 5x-7 is positive.
the absolute value of 5x-7 equals -(5x-7) if the expression 5x-7 is negative.
Question 269526: Graph the following with a number line, which uses brackets and/or parentheses: [], ( ), for the following interval notation: (-infinity, -7)
Answer by Edwin McCravy(3624) (Show Source):
You can put this solution on YOUR website!
( ,-7)
<==================o------------------------------------------------
-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
or sometimes its graph is written this way
<==================)------------------------------------------------
-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
Question 269412: I have a number line where I am trying to find the value of N.
if the distance between 2/n and 15 is the same ad the distance between 20 and 3/n then what is the value of N
<------2/n------15------------------------------20-------3/n------->
Answer by drk(1905) (Show Source):
You can put this solution on YOUR website!(2/n) - 15 = 20-(3/n)
step 1 - add 15 from both sides to get
-(2/n) = 35 - (3/n)
step 2 - add 3/n to both sides to get
(5/n) = 35
step 3 - multiply by n to get
5 = 35n
step 4 - divide by 35 to get
n = (1/7)
Question 269197: Please simplify/solve for me
((3x-7)+7)/3
Answer by unlockmath(446)  (Show Source):
You can put this solution on YOUR website!Hello,
This can be simplified as:
((3x-7)+7)/3 Both 7's cancel out leaving:
3x/3 Now the 3's reduce to 1 so the answer is:
x
RJ
Check out a book that might help:
www.math-unlock.com
Question 268170: I Have a draw a number line with the fractions 1 4/7, 5/7, and 10/7 labled in the correct loction where would these fractions go? I also have to lable the above fractions from least to greatest, how would that look?
Found 2 solutions by azhou4, Alan3354:
Answer by azhou4(12) (Show Source):
You can put this solution on YOUR website!In this case, you would change all these numbers to fractions. 1 4/7 into an improper fraction would be 11/7 and then you have 5/7, 11/7, and 10/7. which one is bigger? Look at the numerator! From least to greatest would be 5/7, 10/7, and last, 11/7. Hope this helped!
Answer by Alan3354(8274) (Show Source):
Question 266367: Please help me solve this:
(x+h/2-x-h)-(x/2-x)
Thank you
Answer by drk(1905) (Show Source):
Question 263397: cant seem to solve this one.. i have to put it on a number line too
x^2 + 2x > 3
Thanks!
Answer by drk(1905) (Show Source):
You can put this solution on YOUR website!here is the original question
step 1 - subtract 3 to get
step 2 -factor to get
step 3 we need to create 3 number line graphs. Make sure the 0 marker is aligned in all three.
number line graph #1:
x+3> 0
this means open circle above -3 and then + signs to the right and - signs to the left.
number line graph #2:
x-1> 0
this means open circle above +1 and then + signs to the right and - signs to the left.
number line graph #3:
(x+3)(x-1) > 0
we place open circles above -3 and then +1.
To the left of -3, we have - signs for both lines. - x - = + so in the third number line place a + to the left of -3.
Between -3 and +1 we have different signs, so place a - sign on the third number line between -3 and +1.
To the right of +1, we have + signs for both lines. + x + = +, so in the third number line place a + to the right of +1.
we want where the signs are > 0 or the + regions.
Our final answer is
open circles above -3 and +1 and then arrow from the -3 to the left and arrow from the +1 to the right.
Question 263392: please help me solve this equation...
Found 2 solutions by drk, richwmiller:
Answer by drk(1905) (Show Source):
You can put this solution on YOUR website!here is the original equation
step 1 - multiply by the common denominator of (x+1)(x+2) to get
step 2 - combine like terms to get
step 3 - subtract 3 to get
step 4 - divide to get
Answer by richwmiller(3756) (Show Source):
Question 263375: (1/x)/(x-3) can you break this down for me step by step? Thanks
Answer by drk(1905) (Show Source):
You can put this solution on YOUR website!here is the original problem
 / 
step 1 - multiply by 1/(x-3) to get
 / 
notice the denominator x-3 parts drop out, so we get
which is
Question 263054: I'm getting so confused....how will i BE ABLE TO tell the difference from Rational, Ilrational, whole , real. All this terminolgy is getting me confused. Thanks
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(29602) (Show Source):
You can put this solution on YOUR website!I'm getting so confused....how will i BE ABLE TO tell the difference from Rational, Ilrational, whole , real. All this terminolgy is getting me confused. Thanks
Natural numbers::: 0,1,2,3,etc
Integer numbers::: positive and negative whole numbers
--------------------------------
Rational::::: any number that can be written as a fraction;
that included as the integers because 3 can be written as 3/1.
--------------------------------
Irrational:::: numbers that cannot written as fractions,
such as sqrt(2), sqrt(13) cube root(25) etc.
--------------------------------
Real::::: all the Rational and Irrational numbers are Real
------
Complex::: numbers that can be written in the form a + bi where
a and b are Real numbers. So the Complex Numbers include all the
Real numbers because sqrt(2) can be written as sqrt(2)+0i
==================================================================
Use Google when/if you get confused. It comes in time if you work at it.
Cheers,
Stan H.
Answer by richwmiller(3756) (Show Source):
You can put this solution on YOUR website!Math is a language and so has new words. Every field of knowledge has its own special words.
Look in the back of your math book or google the terms or look on wikipedia
Question 261372: what goes between 0.4 0.5
Answer by checkley77(9411) (Show Source):
Question 260608: 9-n=14
Found 2 solutions by mananth, richwmiller:
Answer by mananth(556)  (Show Source):
You can put this solution on YOUR website!9-n = 14
-9 +9 -n = 14 -9 ( add -9 on both sides of the equation so that only n remains on the left side of the equation.)
-n = 5
or n =-5
Answer by richwmiller(3756) (Show Source):
Question 260266: On a number line, graph the solutions to the inequality 2x+6<6.
Answer by richwmiller(3756) (Show Source):
You can put this solution on YOUR website!2x+6<6
2x<0
x<0
So this will be the whole left side of the graph paper.
or on the number line from zero (not included) to the left including all negative numbers for x
Question 260082: how to plot fractions on a number line
Answer by Edwin McCravy(3624) (Show Source):
Question 259870: The second angle of a triangle is 4 times as large as the first. The third angle is 80° more than the sum of the other two angles. Find the measure of the second angle.
Answer by dabanfield(599) (Show Source):
You can put this solution on YOUR website!The second angle of a triangle is 4 times as large as the first. The third angle is 80° more than the sum of the other two angles. Find the measure of the second angle.
Let x be the first angle above. Then since the three angles need to add up to 180:
x + 4x + (x+4x+80) = 180
Solve for x and the second angle is 4*x.
Question 259625: order these numbers from least to greatest on a number line 3,9,15,6,5,11,how would i do this?
Answer by richwmiller(3756) (Show Source):
You can put this solution on YOUR website!put 15 marks on a line and put these numbers by the marks in their proper order.
so that 3 would be on the third mark 5 on the fifth mark etc
Question 259096: Where is 17/4 located on a number line?
Answer by rfer(3367) (Show Source):
Question 258889: in a number line with 7 equally spaced ticks, the second one is 2 and the last one is 42 and there are four tick marks between them. What is the the value of the second of those 4 tick marks?
(im sorry i cudnt draw the figure, so i had to explain the question this way)
Answer by checkley77(9411) (Show Source):
Question 258727: how can I show a temperature starting at -4degrees to 49 degrees on a numberline
Answer by Fombitz(2609)  (Show Source):
You can put this solution on YOUR website!Make a number line that runs from -10 degrees to 50 degrees. That gives you enough range and then eyeball the position of both temperatures.
You're free to choose whatever range suits you.
Here are some examples.
Question 248554: How do you graph -2/3 on a number line?
Answer by richwmiller(3756) (Show Source):
Question 256905: How do you graph fractions on a real number line?
Answer by Fombitz(2609) (Show Source):
You can put this solution on YOUR website!Convert them to decimal equivalents and eyeball them in the right position.
In other words, 5/11=0.454, so it's a little less than half the distance between 0 and 1.
Question 256834: A group of 24 dancers march in front of a band at Octoberfest. On your SMTW paper draw ALL the arrays to show how these marchers can be arranged. How many possibilities are there?
Answer by richwmiller(3756) (Show Source):
You can put this solution on YOUR website!That assignment is insane!
Ok,give the number of arrangements but to draw each one is ridiculous.
They can be arranged in groups of 23 and 1, 22 and 2, etc
each group of 4 with 6 dancer sin each can be arranged in many different ways.
Whoever thought of this question is insane.
6 people can be arranged in 6! ways alone. and different shapes to boot stars circles squares rectangles trapezoids
Question 256237: how to graph fractions like 5/6,4/3 on a number line
Answer by richwmiller(3756) (Show Source):
You can put this solution on YOUR website!either put more tick marks between whole numbers or guess.
4/3=8/6 =1 2/6
5/6=5/6
or convert to decimals
You have just discovered one of the weaknesses of using graphs to solve equations.
They are hard to read and write if the data is not a whole number.
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