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

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Question 34017: 1. Show and explain the steps to solving the following systems of equations by graphing. For each problem tell the x- and y- intercepts of EACH line and the slope.
a. 3x + 2y = 6; 4x - y = 8
b. x + 2y = 4; x - y = 1
c. x - 4y = -4; x + 2y = 8
2. Show and explain the steps to solving the following systems of equations by addition. Show ALL steps involved.
a: 3x - 2y = 23; x + 5y = -15
b. x + 2y = -2; 3x + 2y = -12
c. 3x + 4y = 3; 6x - 2y = 1

Click here to see answer by lyra(94)

Question 34018: 5. Show and explain the process of solving the following application problems using equations:
a. A cable 200 ft. long is cut into two pieces so that one piece is 12 ft. longer than the other. How long is each piece?
b. A boat travels 24 miles upstream in 3 hours. It then takes 3 hours to go 36 miles downstream. Find the speed of the boat in still water and the speed of the current.
c. A service station wishes to mix 40L of a 78% antifreeze solution. How many liters of a 75% solution and a 90% solution should be used in forming the mixture?

Click here to see answer by xcentaur(357)

Question 34311: Write the equatin of the line L satisfying the given geometric conditions:
L has y-intercept (0,2) and is perpendicular to the line with equation 2x-3y=6
Click here to see answer by venugopalramana(3286)

Question 34310: Write the equation of the line L satisfying the given geometric conditions:
L has y-intercept (0,-3) and is parallel to the line with equation y=2/3x + 1
Click here to see answer by venugopalramana(3286)

Question 34308: Find the slope of any line perpendicular to the line through points (0,5) and (-3,-4).
Click here to see answer by venugopalramana(3286)

Question 34309: Geometry: Floor plans for a building have the four corners of a room located at the points (2,3), (11,6), (-3,18), and (8,21). Determine whether the side through the points (2,3) and (11,6) is perpendicular ot the side through the points (2,3) and (-3,18).
Click here to see answer by venugopalramana(3286)

Question 34246: Determine whether the following pairs of lines are parallel, perpendicular or neither.
A) 2x + y = 1 and x-2y-1
b) 3x-y + 2= 0 and 3x + y = 0
C) y = 2x - 1 and 2x-y + 3=0
Click here to see answer by venugopalramana(3286)

Question 34244: Please help.
a)Find the equation of the line with a gradient of 3, passing through the points (4,-2).
b) Find the equation of the line containing the points (-2,4) and (5,3)
Click here to see answer by venugopalramana(3286)

Question 34330: x+y=1
5x+5y=3
how many solutions are there?
Click here to see answer by fanism(39)

Question 34276: I'm having a difficult time with this problem, please help
Solve the system of inequalities x>2 and y<_ x+3 by graphing. If the system does not have a solution. write no solution????????????????
Click here to see answer by benni1013(206)

Question 34254: solve the following equations for x and y.
1.x+y=25
y=4x
2.x=y+8
2x+y=52
5. 3x+y=33
x=y-13
7.x-y=-10
3x=y+18
Click here to see answer by benni1013(206)

Question 32624: I need help finding the slope and y-intercepts of each equation, and graping for the following equations:
y=x+2
y+3=-1/3x
y=2x-1
y-3/5x=-2
y=1/2x-4
y-2x=-3
y=2/5x+3
y+1/3x=-2
y=-x-2
y-6=-2x
Click here to see answer by benni1013(206)

Question 31796: Can someone help? and check my answer to see if im doing this right?
For the function y = x^2 - 4x - 5, perform the following tasks:
(1)Put the function in the form y = a(x - h)^2 + k.
I got the answer: y = (x-2)^2 - 9
What is the line of symmetry?
I got the answer: x = 2
Graph the function using the equation in part (1). Explain why it is not necessary to plot points to graph when using y = a (x � h)^2 + k.
how does this graph compare to the graph of y = x^2?
Click here to see answer by venugopalramana(3286)

Question 34331: 5x^3y+20x^2y^2+20xy^3
all over
5xy
please simplify
note:^ means raised to the power of.
Click here to see answer by benni1013(206)

Question 34495: I can't figure out how to graph this one at all. Please help and thank you so very much! Problem: 3x-2y=6
question; (a) give a table with three ordered pairs that are solutions, and (b) graph it.
I am having a problem graphing this one as well as not being able to find 3 ordered pairs that are solutions. Thanks agian.
Click here to see answer by lyra(94)

Question 34493: Thank you so much for taking the time to help students like me that are in way over thier heads. I am that is for sure. I really appericate it. Thanks again. First heres the directions; for the points P and Q, find (a)the distance d(P,Q) and (b) the coordinates for the midpoint of the segment PQ. #10 P(-4,3), Q(2,-5) This is what I did...
d(P,R)= (under the radical sign) (2-(-4)squared + (-5-3)squared
=(2+4) squared + (-5-3)squared
=2Squared + 4squared + -5squared -3squared
=6squared + -8squared
=36+64= 100 under radical sign
Heres the midpoint; -4+2/2squared, 3+-5/2squared
= -1 and -2/5

I hope you were able to figure out what I did. I am pretty sure I got @ least part of it right. Thanks again. Have a great day.

Click here to see answer by Earlsdon(6294)

Question 34527: I think my graph is right, but I did it by substitution.. I can't get the X-intercept to match my graph...
Graph the function f(x)= 2 * (3^x) - 5. Indicate the horizontal asymptote (which I believe is y=-5) also find the X-intercept (exact solution and then round to four decimal places.)
Click here to see answer by josmiceli(19441)

Question 34199: Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By= C
m=-7; (-10,11)
Click here to see answer by josmiceli(19441)

Question 34544: Hi, I am having a hard time with this problem! I just don't get it. Question; Find the slope of the line satisfying the given conditions.
#40. Horizontal, through (6,5)
If you could help with this one I would appericate it. Thanks, Angela M
Click here to see answer by checkley71(8403)

Question 34611: graph f(x) = -2x + 2
Click here to see answer by lyra(94)

Question 34615: solve by graphing
x-y=2
x+y=6
Click here to see answer by lyra(94)

Question 34725: Let f(x)=2x-3and g(x)=x+3. FInd the composite function. (f0g)(7)Thanks for the help!
Click here to see answer by longjonsilver(2297)

Question 34723: I need help. I don't know where to go from here. Okay, questions is; write and equations(a) in standard form and (b) in slope-intercept form.
Problem; through -(2, 0), Perpendicular to 8x-3y=7
This is what I came with and I don't know what to do after, if I even got this much right? y-0=3/8 (x-(-2), Y-0=3/8x+6/8...Thank you for your help.
Click here to see answer by longjonsilver(2297)

Question 34767: Solve if possible or determine no solution or infinite solutions.
x+3y=-15
2x+5y=-21
Click here to see answer by checkley71(8403)

Question 34924: A line is tangent to the circle whose equation is x^+y^+6x-6y-2=0 at the point (1,5). Find the Slope-intercept form of the tangent line.
Can you help??
Click here to see answer by venugopalramana(3286)

Question 34923: I am not sure how to figure out this equation, can you help explain step by step?
The endpoints of the diameter of a circle are (-7,1) and the center point of x^+y^-2x-10y+25=0. Find the standard equation of this circle and graph. Find and label the x-intercepts and the y-intercepts.
I appreciate any help you can give.
Click here to see answer by venugopalramana(3286)

Question 34937: slove the equation -9h-6+12h+40=22
Click here to see answer by priya(51)

Question 34946: slove the equation 9h+2<-79

Click here to see answer by Earlsdon(6294)

Question 34945: simpilfy this expresstion 13+(-12)-(-5)=?

Click here to see answer by Earlsdon(6294)

Question 34943: slove the equation
y
- +5=0
9
Click here to see answer by Earlsdon(6294)

Question 34619: solve these systems graphically
x=4
3y-2x=1
Click here to see answer by kietra(57)

Question 34955: jorge used 6.6 gallons of gasoline to travel 158 miles. which proportion can you solve to express this as a unit rate?
Click here to see answer by checkley71(8403)

Question 34629: find the solution set of the equation
Click here to see answer by kietra(57)

Question 34942: slove the equation 80=3y+2y+4+1
Click here to see answer by checkley71(8403)

Question 34942: slove the equation 80=3y+2y+4+1
Click here to see answer by kietra(57)

Question 34944: slove the problem -282-(+1,017)=?

Click here to see answer by Prithwis(166)

Question 35048: Solve the inequality. Write answer in interval notation
Click here to see answer by Prithwis(166)

Question 34984: how do you solve 3a+7 < 16
how do you solve 16 < 3q+4
how do you solve 20-3s > 7s
how do you solve 3x > -9
Click here to see answer by Earlsdon(6294)

Question 35068: Driving down a mountain, Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi. horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
Click here to see answer by stanbon(75887)

Question 35147: hi i have a quiz tommorow
it is

y= x +3 and i have to graph it
Click here to see answer by checkley71(8403)

Question 35147: hi i have a quiz tommorow
it is

y= x +3 and i have to graph it
Click here to see answer by elima(1433)

Question 35144: Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible.
0,5, m - -3/5

Click here to see answer by checkley71(8403)

Question 35215: In most business, increasing proces of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for each $.25 increase in fare.
Given the description above, graph the function, identify the graph of the function, and give the domain and range as shown in the graph, and also the domain and the range of the entire function excluding unrealistic values.
Click here to see answer by AnlytcPhil(1806)

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, 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