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

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Question 1015786: Please show work.
Consider the two points: A: (2,3) and B: (-1,-4)
A. Plot the two points on the x-y coordinate system

B. Find the distance between A and B

C. Find the midpoint between A and B

Click here to see answer by macston(5194)

Question 1015733: Sketch f(x)= -x-1 if x<-1
0 if -1≤x≤1
x+1 if x>1
Find the domain and range using interval notation.
Click here to see answer by Fombitz(32388)

Question 1015853: how would you graph y=-2x+2?
Click here to see answer by FrankM(1040)

Question 1015870: 6.6
Solve for x
5^(3x-7) =25
The solution set is { }
I got 3 is this correct?
Click here to see answer by Fombitz(32388)

Question 1015871: 6.7
9^(x+4) =243^(x-5)
The solution set is { }
I got 11 is this correct?
Click here to see answer by Fombitz(32388)

Question 1015869: 6.2
Solve the equation but the method of your choice
3x^2 -14x=5
The solution set is { }
I got x=5,-1/3
Click here to see answer by Alan3354(69443)

Question 1015934: How do you write a exponential equation based on a graph?
Click here to see answer by Fombitz(32388)

Question 1015823: The perimeter of a rectangle is30m. If lenght exceed its breadth by 3m then find its lenght
Click here to see answer by Herdaysoji(25)

Question 1016008: Can someone please help. I'm so lost
F(x)=5x+4;g(x)=7x-1 and solve for
(F*g)(x)
Thank you
Click here to see answer by ikleyn(52778)

Question 1016009: Please help me
F(x)=3x to the 2nd +3x-3 and solve for f(x+h)
Thank you
Click here to see answer by Alan3354(69443)

Question 1016025: Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form.
the x-intercept is 1, and
(x, y) = (−2, 15)
is a point on the line
Click here to see answer by ankor@dixie-net.com(22740)

Question 1016028: Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form.
perpendicular to
3y = x − 4
and passes through the point
(−2, 1)

c

Click here to see answer by mananth(16946)

Question 1016023: Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form.

(x, y) = (0, 9)
is a point on the line with slope 7/5

Click here to see answer by josgarithmetic(39617)

Question 1016012: F(x)=4x+7 divided by 7x-4, g(x) 8x divided by 7x-4 and solve for (f-g)(x)
Thank you for helping me
Click here to see answer by ikleyn(52778)

Question 1016105: How can we know the points to pick when solving simultaneous equations graphically
Click here to see answer by Fombitz(32388)

Question 1016166: Given the graph below, write the function for f(x) in standard form.
the coordinates are (-4,0) (-3,5) (-2,8) (-1,9) (0,8) (1,5) (2,0) I've tried doing it my self but cant get my head around it.
Click here to see answer by Alan3354(69443)

Question 1016221: -X^2+2X=0
Click here to see answer by Boreal(15235)

Question 1016248: find the slope of the line 3x+2y=-3 write your answer in simplest form
Click here to see answer by rfer(16322)

Question 1016247: Graph the line with slope 2/3 passing through the point (3,-5)
Click here to see answer by macston(5194)

Question 1016273: Through: (3,1), perpendicular to y= (7/2)X-5
Click here to see answer by stanbon(75887)

Question 1016383: Y + 4 = -4 (x - 2)
What is the y intercept of this line?
Rewrite this equation in standard form.
What is the x intercept of this line?
Click here to see answer by Boreal(15235)

Question 1016388: Y + 4 = -4 (x - 2)
What is the equation in standard form of a parallel line that passes through (0,-2)
On the parallel line, find the ordered pair where x = -2
Graph the equation given
Click here to see answer by Boreal(15235)

Question 1016385: Y + 4 = -4 (x - 2)
What is the equation in standard form of a perpendicular line that passes through (5,1)?
What is the x intercept of the perpendicular line?
Click here to see answer by josgarithmetic(39617)

Question 1016518: Hi, I really do not understand how to finish answering this question. So far, I have y= (x+5)^2 +7. Here's the problem:
Write the equation of a quadratic with a parent of y = 4x2 and a vertex of (-5,7).
-Thank you.
Click here to see answer by ikleyn(52778)

Question 1016530: If f(−5)=−2 and g(x)=−2⋅f(x),
what point can you determine on the graph of g?
Click here to see answer by ikleyn(52778)

Question 1016569: What is the graph for:
(-1/5)x+3
Click here to see answer by ikleyn(52778)

Question 1016569: What is the graph for:
(-1/5)x+3
Click here to see answer by fractalier(6550)

Question 1016569: What is the graph for:
(-1/5)x+3
Click here to see answer by Alan3354(69443)

Question 1016614: For every 10 units a line goes up, it goes 2 units to the left. What is the slope of the line?
Slope formula: m = y2 - y1/x2 - x1

Click here to see answer by Fombitz(32388)

Question 1016614: For every 10 units a line goes up, it goes 2 units to the left. What is the slope of the line?
Slope formula: m = y2 - y1/x2 - x1

Click here to see answer by fractalier(6550)

Question 1016636: graph A(2,-4)B(0,4)C (1,0)
Click here to see answer by Alan3354(69443)

Question 1016659: How do you find the average rate of change for f(x)=x^3-7x+1 from -4 to -2 then -1 to 1 and 1 to 3 thank you I have no example of this
Click here to see answer by Alan3354(69443)

Question 1016729: Given line L: y=2x-3. What is the gradient of a line which is perpendicular to L?
Could someone help me? I don't get how the answer's not 2. Thanks :)
Click here to see answer by Theo(13342)

Question 1016743: My project problem states: The US population is 317,000,000. The National Debt is 17,000,000,000
For the purposes of this project, assume that population growth is a linear function that grows at a steady, unchanging rate of 0.9% per year, and that debt growth is a linear function that grows at a steady, unchanging rate of 13% per year. Use the population and debt figures from #1. Show all of your work.
Find the linear equation for population in slope intercept form.
Find the linear equation for debt in slope intercept form.

I had gotten so far into the problem, using y=mx+b, plugging in for population:
y=pop(.009)+pop
y=317,000,000(.009)+317,000,000
and continuing on from there, with population rising and building upon itself, however I'm told that it is not correct. My feedback was"You have just used the percentage as the slope for the equations. The slope should represent the number of people that the populations grows by every year. You must use the percentage and the initial population to calculate the slope. Then assume they will stay the same throughout time. Because your equations are not correct, your graphs will be inaccurate as well. So you will want to redo them before you submit. "
The only thing I can think of is to find the slope by using rate of change, but the problem states they want it in slope intercept form
Click here to see answer by macston(5194)

Question 1016843: Could someone please help me and show me the steps to solve:
-1<4+5x less than or equal to 19
2x+3x less than or equal to -1
Or 10-x less than or equal to 5
Click here to see answer by josgarithmetic(39617)

Question 1016849: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 17 inches and a second side that is 1 inch less than twice the third side, what are the possible lengths for the second and third sides?
Click here to see answer by robertb(5830)

Question 1016778: I'm having trouble graphing this problem and finding the points to plot:
graph the function f(x) = -x^2+6
Click here to see answer by richard1234(7193)

Question 1017005: Write -3/2x+y+3.5>0 without fractions or decimals.
Click here to see answer by addingup(3677)

Question 1017004: what is y=-5/3+31/3 graphed i cannot figure it out and i need it for a test
Click here to see answer by macston(5194)

Question 1017004: what is y=-5/3+31/3 graphed i cannot figure it out and i need it for a test
Click here to see answer by Boreal(15235)

Question 1017006: Find all p which satisfy both the inequalities 0>=54p-144 and 0>12-20p. Express your answer in interval notation, reducing any fractions in your answer.
Click here to see answer by macston(5194)

Question 1016907: For set d={4,6}, determine n(d).
Click here to see answer by ikleyn(52778)

Question 1017081: Create a multi-step inequality with the solution in the graph labeled below:
The graph is a open circle starting at -1 going to the right.
Click here to see answer by Edwin McCravy(20054)

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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