Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 83025: A roof rises 2.5 ft over a horizontal distance of 17.86 ft. What is the slope of the roof to the nearest hundredth?
Click here to see answer by checkley75(3666) About Me 

Question 83156: Side one of a triangle is 9.
Side two of the triangle is 12
How long is side 3?
thanks

Click here to see answer by Mona27(45) About Me 

Question 83167: Which of the folowing are the pair of equations whose graphs are not perpendicular?
A. 2x-8y=9
12x-3y=7
B.3x+6y=8
y=2x-8
C.y=x-7
x+y=3
D. 2y=3x+5
2x+3y=4

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Question 83138: Solve 6x-0.37=5(x-0.28)
The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm,find the length of one of the equal legs.
solve 2/5x=-10
solve 4x+8=-4.
I appreciate whatever help i can get on these. thank you so much.

Click here to see answer by Mona27(45) About Me 

Question 83194: hey guys Im struggling help please
1) An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer



b) Graph this function and show the graph over the valid range of the variable x..
Show Graph here



c) Using the graph, what is the value of x that will produce the maximum volume?
Answer


Click here to see answer by jim_thompson5910(13794) About Me 

Question 82038: Solve the following by graphing:
x-2y=8
3x-2y=12

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Question 83140: I'm a bit confused with these problems. I get it somewhat, but for some reason I get lost after the first few variables.
Evaluate function for the value specified.
f(x)=x2-7x+10; find (a)f(0), (b)f(5), and (c)f(-2)
Rewrite equation as a function of x
-3x+4y= 11 ( what i don't understand is how i find out how to rewrite this equation.)
this has to be graphed- f(x)=-2x-5 ( does this get graphed like any other equation, i noticed the function notation and got a little confused)
If f(x) =4x-3 then what does this equate to?
f(-1)

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Question 83298: Can I get a quik hand on these two,
if f(x)=5x-1 then how would i figure out f(a - 2)
If an inventor charges $4 per unit, then her profit for producing and selling x units is given by the function\
P(x)=2.25x-7000
a what is her profit after selling 2,000 units
b profit after 5,000 units
c. what would the break-even point for sales.
thank you ahead of time.

Click here to see answer by stanbon(26297) About Me 

Question 83297: I feel a little confused about this problem
x/6 + 3 =9. Am I supposed to divide the six into the x and then add the 3? The answer I was getting was 3, and then I found out that it was wrong and I would like to know where I went wrong.
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An arithmitic student needs an average of 70 to recieve credit. She scored 82,64 and 98 on the first three exams. I am looking for a equality representing the score she must get on the last exam to recieve credit for the course.
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Is 15 a solution to the equation 8-x=7?
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Solve for x, 3x-2y=6.
I forgot how to solve a problem like this one. I just need a refresher so I can get the other ones solved.

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Question 83336: Find the slope of any line parallel to the line through points (-2,3) and (4,5)
Click here to see answer by jim_thompson5910(13794) About Me 

Question 83339: for the quadratic function:
f(x)=3(x+4)^2
state the vertex:( , )
does the parabola open up or down.
the function has ___ real zeros

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Question 83363: Please help. I am pulling my hair out over this one as well?
For the equation in exercises 38, create a suitable table of values, and sketch the graph (including the axis of symmetry). Identify the axis of symmetry, identify the vertex point, the graph’s direction, and any axis intercepts gleaned from the table or graph.
y= -x^2+6x-2

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Question 83349: Please help! and evaluate
b^2-2bc+c^2 if b=3 and c=-2

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Question 83362: Please help. I am pulling my hair out over this?
For the equation in exercises 26, create a suitable table of values, and sketch the graph (including the axis of symmetry). Identify the axis of symmetry, identify the vertex point, the graph’s direction, and any axis intercepts gleaned from the table or graph.
y=x^2-5x+3

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Question 83376: Could I have you solve the system by graphing
3x+y=-1
9x+3y=-3
thanks for all of your help

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Question 83472: I have been trying to solve these equations by graphing them but I'm getting a little lost.
1. a 2x-y=4
b 2x-y=6
2. a x-2y=8
b 3x-2y=12
3. a 3x-6y=9
b x-2y=3
The values for m and b in the following system has to be found so that the solution to the system is (-3,4)
5x+7y=b
mx+y=22

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Question 83492: Graph y[x]+3. Suggestion is to use five points to see a turn. Please give explanation and show points. Thank you. C. S.
Click here to see answer by rapaljer(3622) About Me 

Question 83549: Find the absolute inequality corresponding to x<=-22/3 or x>=11/3.
I have been working on the problem and somehow came up with |x-11/6|>=11/6
I was told that that wasn't exactly correct. I really want to see all the steps so i can learn how to do these problems. I dont have a problem when the numbers are whole numbers, such as x<=12, but im really confused on these fractions. If anyone could show my all the steps and the answer I would greatly appreciate it. Thank you!

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Question 83601This question is from textbook
: how to solve 2x+y=0 to graph isbn 0321123388-3This question is from textbook

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Question 83677: Graph the quadratic equation and complete a table of values.
y = x^2 + 3x
My answer:
This is what I was given x=-3, x=-2,
and this is where I am so far I have x=-1, x=0, x=1
Now I have to do the table of values for y and then graph this.Please help?

Click here to see answer by stanbon(26297) About Me 

Question 83700: I have a few questions.
What would the monthly intrest rate be, for a $1000 dollar credit with a charge of $195 for a month?

Find two consecutive integers such that the sum of 2 times the first integer and 4 times second integer is 46.
Can you explain to me how this should be solved?
-3(10x-3)+10(3x-3)=x-7
convert 9/16 into a percent.

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Question 83689: how do you find the graph of a system?
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Question 83730: if y=one-half x-3 what is the slope

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Question 83725: change the equation,x-y=4 to the form y=mx+b
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Question 83726: Graphing Y=x^2+3x+2
Identify the vertext and the axis of symmetry

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Question 83662: I am having trouble finding the answer to the equation and graphing it. In school we have not looked over this yet, (he gives us suprize questions) and i do not know how to answer it.
Y= X over 1 +1

Click here to see answer by tutorcecilia(2042) About Me 

Question 83761: I'm trying to remember how to do this problem, we did this soo long ago
Graph y=(x-7)^2+5

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Question 83798: Solve, 31x-8(3x-0.745)=6x+0.205
Solve each of the following systems by addition. If a unique solution doesn't exsist, state whether the system is inconsistent or dependent.
1.{ a.2x+3y=1
b.5x+3y=16
2.{ a. x+5y=10
b.-2-10y=-20
thank you so much, and thank you for your time.

Click here to see answer by jim_thompson5910(13794) About Me 

Question 83787: HI my homework says to " write the equation of the line in slope-intercept form:
parallel to -5y=10x+32 and through point P(-1,1). Can you clear things up for me? I am completley lost, and there is nothing in my textbook on this, or maybe i am just overlooking it.

Click here to see answer by bucky(1732) About Me 

Question 83796: The length of a rectangle is 2cm more than twice its width. If the perimeter of the rectangle is 52 cm, what are the dimensions of the rectangle?
What is the mean of these numbers?
1,6,10,11,12
How does this set get graphed?
3(x-4)>7x-9
The sum of a number and -11 is 4. what is the number?
I would appreciate anybody who can help me out with these. Thank you in advance.

Click here to see answer by Nate(3495) About Me 

Question 83829: What is the solution to the system of equations y = 2x and y = -x + 3
Click here to see answer by lekelly(20) About Me 

Question 83836This question is from textbook elementary Algebra
: communiting to work. On Monday, Roger drove to work in 45 minutes. On tuesday he averaged 12 miles per hour more, and it took him 9 minutes less to get to work. How far does he travel to work?This question is from textbook elementary Algebra

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 83867: What is the vertex and axis of symmetry of the equation y=-2x^2+x+1?
So far I have x=-1+or-sqrt1^2+4(-2)*1/2(-2) and have found the x intercepts to be (-1/2,1).

Click here to see answer by jim_thompson5910(13794) About Me 

Question 83878: What is the slope and y intercept of the line?
-2y = 3x - 15

Click here to see answer by checkley75(3666) About Me 
Question 83878: What is the slope and y intercept of the line?
-2y = 3x - 15

Click here to see answer by bucky(1732) About Me 

Question 83828: In the equation y=3x-4, a point on the line is what?
Click here to see answer by checkley75(3666) About Me 

Question 83876: What is the slope of these given points?
(8, -7), (8, 5)

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Question 83877: What is the slope and y intercept of the line?
5y - 4x = -31

Click here to see answer by jim_thompson5910(13794) About Me 

Question 83952: I have a homework question that states: Find the possible values of x if the points (x,5) & (-7,-6) are a distance d=146 sqrt apart. The possible values listed for x are: (-13, -4), (-12, -2), (-12, 2) and (-13, 4). I have tried working out all numbers using the formula (x2-x1)^2+(y2-y1)^2 sqrt and nothing is coming out to 146 sqrt. What am I doing wrong?
Click here to see answer by jim_thompson5910(13794) About Me 

Question 84008: x + y = -4
x - y = 2

x + y = 10
y = x + 8

3x + y = 5
4x - 7y = -10


y - 2x = -5
3y - x = 5

Click here to see answer by jim_thompson5910(13794) About Me 

Question 84055: Write equation for the line . Use slope intercept form if it its possible.
# 1
through (-1,4) perpendicular to 9x+5y=11
this is what i have done so far am i correct
9x+5y=11
5y=-9x+11
y=-(9)/(5)+(11)/(5)
so then i use the recipriocal slope which will be (5)/(9) and use the point that they gave me. so now i do the following:
y = mx+b
4 = (5)/(9) * (-1) +b
(41)/(9)=b
y= (5)/(9)x+(41)/(9)

#2
through (3,-5),parallel to y =4
for this one ihave no idea?

Click here to see answer by jim_thompson5910(13794) About Me 
Question 84055: Write equation for the line . Use slope intercept form if it its possible.
# 1
through (-1,4) perpendicular to 9x+5y=11
this is what i have done so far am i correct
9x+5y=11
5y=-9x+11
y=-(9)/(5)+(11)/(5)
so then i use the recipriocal slope which will be (5)/(9) and use the point that they gave me. so now i do the following:
y = mx+b
4 = (5)/(9) * (-1) +b
(41)/(9)=b
y= (5)/(9)x+(41)/(9)

#2
through (3,-5),parallel to y =4
for this one ihave no idea?

Click here to see answer by Edwin McCravy(2922) About Me 

Question 84056: #3
i know how to graph points but how do i solve these type of equations.
3x+4y= 7

# 4
same thing how to i solve to graph these types of equations
-x -5y +10 = 0

Click here to see answer by jim_thompson5910(13794) About Me 

Question 84133: x -2 -1 0 1 2
y .25 .5 1 2 4
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.
I understand that it is a line graph. I just can't figure out what the domain and range is for this graph. I someone help me?

Click here to see answer by stanbon(26297) About Me 
Question 84133: x -2 -1 0 1 2
y .25 .5 1 2 4
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.
I understand that it is a line graph. I just can't figure out what the domain and range is for this graph. I someone help me?

Click here to see answer by jim_thompson5910(13794) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000