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

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Question 1122313: Consider the following pair of points. (-1,-8) and (3,-4). Determine the distance between the two points
Click here to see answer by josgarithmetic(39617)

Question 1122461: Need answer confirmation please.
Q: Write equation of line through (2,-3) parallel to 2x-3y=0. Write equation is standard form.
What I did:
2x-3y=0 <=== I found a slope of 2/3
Then:
y-(-3)=2/3(x-2)
y+3=2/3(x-2)
Then to Standard form:
y+3=2/3x-4
y+3-3=2/3x-4-3
y=2/3x-7
From there:
I subtracted -2/3 from both sides and arrived at: -2/3x+y=-7
Is this correct?
Thank you!
Click here to see answer by solver91311(24713)

Question 1122498: Directions: Consider the three points A = (-2, 1), and B = (2,3), and C = (3,1).
1.) Plot each point and form the triangle ABC.
2.) Verify that the triangle is a right triangle.
Click here to see answer by Alan3354(69443)

Question 1122497: Graph 2x - y = 6 and find the x and y - intercepts.
Click here to see answer by Alan3354(69443)

Question 1122560: Use the graph to answer the question that follows.
https://api.agilixbuzz.com/Resz/~0.rWdDTH6TvA4UDRyD.XZhtH0UXber3HWqXJEFHujCkXbyXLrJjgwFkxf7XtEM/72744524,33C,0,1,0,3/Assets/77876_5480778e/02_08_09a.gif
Olive is catering a dinner party for more than 18 guests. Each guest has a choice between a vegetarian dinner or a steak dinner. The vegetarian dinner is $20 per plate and the steak dinner is $30 per plate. Olive can spend no more than $530 on the entire party. If Olive wants to purchase the most amount of food and still stay within budget, which combination of vegetarian and steak dinners is optimal? (2 points)
(16, 7)

(19, 5)

(25, 1)

Click here to see answer by greenestamps(13198)

Question 1122738: 1.Find an equation of the line that passes through the origin and has a slope of - 5
2. Write an equation in standard form of the line satisfying the following condition.
The line goes through (3,2), and is horizontal.
3. Write an equation of the line containing (2,-1) and parallel to the graph of 7x-5y=4.
Click here to see answer by MathLover1(20849)

Question 1122859: Solve for x and find three solutions for 1/2x=5
Click here to see answer by ikleyn(52777)

Question 1122964:
Click here to see answer by Alan3354(69443)

Question 1123076: Another question for you amazing men and women.
If asked to graph a linear function by finding x & y intercepts, how is this to be completed?
Using this equation 4𝑥=6𝑦+2
I did a table of values. Is this correct?
Note- I was told not to use y=mx+b to complete this question.
Thank you!
Click here to see answer by josmiceli(19441)

Question 1123284: 1) if int(xf(2x+3))dx=10 0n[3,6] find value of int((2x+4)f(2x+7))dx on [1,4]
2) if g(x) is continuous on [-a,a] prove that int(g(x))dx on [-a, a] =int(g(x)+g(-x))dx on[-a, a]
Click here to see answer by solver91311(24713)

Question 1123445: In the year 2015, Anna bought a new car for $36,000. In 2017, she was told that the value of her car was $25,000 due to depreciation. She is told that the value of her car depreciates linearly.
1. Find a function V(t) which gives the value of the car t years after the year 2015.
2. In 2018, Anna is told that she will be given $15,000 for her car if she decides to trade it in for a new car. Use the function from part (1) above to determine the value of her car in 2018.
3. Is the $15,000 value fair based on what she was told about linear depreciation? Explain your answer?
Click here to see answer by Boreal(15235)

Question 1123461: How do you graph this direct variation equation?: y= -2/5x
Click here to see answer by Boreal(15235)

Question 1123693: The equation y = 12x describes the amount of money Louis earns, where x is the number of hours he works
and y is the amount of money he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.
Carl�s Earnings
Time (h) 3 5 8 10
Money earned
($) 45 75 120 150
(a) How much money does Carl earn per hour? Show your work.
(b) Who earns more per hour? Justify your answer.
(c) Draw a graph that represents Carl�s earnings over time in hours. Remember to label the axes, I need help please, and thank you
Click here to see answer by josgarithmetic(39617)

Question 1123626: if limt(((n+1)^x -n^x)/(n^99))=100 as x→ ∞
prove that x=100
Click here to see answer by Alex.33(110)

Question 1123840: if u= int (f(sin2x)sinx)dx on [0 ,pi/2] and v= int (f(cos2x)cosx)dx on [0 ,pi/2]
then u/v =......
Click here to see answer by ikleyn(52777)

Question 1123886: Find all points having an x-coordinate of 1 whose distance from the point (-3,-1) is 5
Click here to see answer by josgarithmetic(39617)

Question 1123873: Trying to do my homework and I don't get the problem: If you make a salary of 53200 in Arkansas, how much would you have to make in Alabama to keep the same standard of living?
Chart 2012 Median Income
State Income Index
Alabama $43464 92.4
The chart was given to me for the homework
Arkansas $39018 82.9

Alaska $63648 135.3

Arizona $47044 100.0
Click here to see answer by greenestamps(13198)

Question 1124094: wow sik website
Click here to see answer by Alan3354(69443)

Question 1124115: Given the following linear function, sketch the graph of the function and find the domain and range.
f(x) = 2/3 x - 3.
How does mx+b work with a - sign instead of a + sign.
Please Explain!

Click here to see answer by rothauserc(4718)

Question 1124208: passing through 0,4 perpendicular to -7y+x-8=0
Click here to see answer by MathLover1(20849)

Question 1124208: passing through 0,4 perpendicular to -7y+x-8=0
Click here to see answer by MathTherapy(10551)

Question 1124363: do the lines for ≤ and ≥ have open or closed circles?
Click here to see answer by MathLover1(20849)

Question 1124431: find the equation for the line given the following information:
the line passes through the point (3,4) and is perpendicular to the line x=0
the equation of the perpendicular line =
Click here to see answer by MathLover1(20849)

Question 1124400: find the x-intercept for y = -2x
and slope, then graph

Click here to see answer by josgarithmetic(39617)

Question 1124545: Good evening, i�m so confused about this question. I don�t know if i will do the graphing transformation or not. So here�s the question
Graph the function, labeling 3 points on graphj, state domain, range and identify any intercepts.
F(x)=(x+2)^2-3
Thanks!
Click here to see answer by josgarithmetic(39617)

Question 1124546: graph |x|-|y|=2
Click here to see answer by greenestamps(13198)

Question 1124548: Please show me step by step about this question. I�m preparing for my 1st out 4 exams on my math class in a week today.
Here�s the question: for the following piecewise functions, graph, state, domain, range and intercepts
F(x)=3x+4 if-2<=x<0
-3 if x=0
-2x if x>0
Thanks!
Click here to see answer by Boreal(15235)

Question 1124573: Write a compound inequality to represent all of the numbers between -4 and 6.
Click here to see answer by ikleyn(52777)

Question 1124324: State the domain, range and determine if the relation is a function.
1. {(-2,4),(-1,1),(0,0),(1,1)
Click here to see answer by Fombitz(32388)

Question 1124807: 1/4(8x + 12) = 10 - 2(x -2)
Click here to see answer by Alan3354(69443)

Question 1124807: 1/4(8x + 12) = 10 - 2(x -2)
Click here to see answer by rothauserc(4718)

Question 1124825: Two angles are supplementary if the sum of their measures is 180�. The measure of the first angle is 36� less than three times the second angle.
What is the measure of the smaller of the two angles?
A. The smaller angle has a measure of 54 degrees.
B. The smaller angle has a measure of 108 degrees.
C. The smaller angle has a measure of 26 degrees.
D. The smaller angle has a measure of 72 degrees
Click here to see answer by Theo(13342)

Question 1124899: The point (5,5) satisfies which of the following inequalities?
A. x > y
B. x - 1 ≥ y
C. y - x > 0
D. y + x ≤ 10
Click here to see answer by solver91311(24713)

Question 1124937: A rectangle is 8 inches longer than it is wide. Find the dimensions of the rectangle if its area is 277 sq-inches.
not in decimal form .
Click here to see answer by josgarithmetic(39617)

Question 1124938: the polynomial degree 5 p(x) has a leading coefficient 1 has roots of multiplicity of 2 at x=-5 and x=0 and a root of multiplicity 1 at x=-3.
find a possible formula of p(x).
Click here to see answer by josgarithmetic(39617)

Question 1124940: 1. (7 points) On the axes below, sketch the graph of one possible function y = f(x) be a piece-wise function satisfying all of the following requirements. Your graph should clearly show the properties listed to receive full credit.
� The domain of f is [−4, 5].
� The range of f is (−2, 6].
� f has vertical intercept (0, 2).
� f is decreasing for−4≤x<0.
� f is increasing for0≤x<2.
� f has constant rate of change for 2≤x≤5. � give your formula for f below
Click here to see answer by greenestamps(13198)

Question 1125022: 1/3x+y=4
Click here to see answer by ikleyn(52777)

Question 1125022: 1/3x+y=4
Click here to see answer by MathTherapy(10551)

Question 1125041: complete the table (1 out of 5)
-2x+2y=4
x y
0
what is under y
Click here to see answer by josgarithmetic(39617)

Question 1125040: complete the table (1 out of 5)
y=-4x
x y
-1
what is under y
Click here to see answer by josgarithmetic(39617)

Question 1125039: complete the table (1 of 5)
-2x+2y=4
x y
-1
what is under y
Click here to see answer by josgarithmetic(39617)

Question 1125038: complete the table (1 of 6)
x+y=3
x y
-3
what is under the y
Click here to see answer by josgarithmetic(39617)

Question 1125078: X+y _>5
Click here to see answer by ikleyn(52777)

Question 1125076: � � � y> 4/5 x-1
Click here to see answer by ikleyn(52777)

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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23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975