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

Tutors Answer Your Questions about Graphs (FREE)

Question 201286: Transform the function,y=∛(x^2-x+5), shifted to the right two units, then reflected about the y-axis, and then shrunk vertically a factor of 3. What is the new algebraic expression? I thought it was y=∛(-x^2+x-3)/3 but this does not graph correctly. Help.
Click here to see answer by josmiceli(19441)

Question 201352: 1: equation: x-4y=6
find x if y = 1/4
find y if x = -2
present the solutions as ordered pairs.

2: find the slop and the y-intercept of the line represented by the equation.
7x + y = 8
I am having trouble with these, could someone please help me. Thank you for the help! ;)
Click here to see answer by vleith(2983)

Question 201383: Problem2.
High Tech Graphics bought a fax machine for $750. The fax machine depreciates at a rate of $25 a month.
(a) Find a function F that can be used to determine the value of the fax machine t months after purchase.

F(t)=?

b) I need a graph of the function F(t)?

Thank you so much!!!!

Click here to see answer by jim_thompson5910(35256)

Question 201382: Problem 2.
In 1920, the record for a certain race was 45.6 sec. In 1990, it was 44.8 sec.
Let R(t)= the record in the race and t= the number of the year since 1920.

a) Find a linear function that the date
b) Use the function in (a) to predict the record in 2003 and in 2006.
c) Find the year when the record will be 43.86 sec

Find a linear function that fits the data.
R(t)= ?? -0.02t-45.6???
What is the predicted record for 2003?
What is the predicted record for 2006?
In what year will the predicted record be 43.86 sec??

I appreciate this.
Thank you!

Click here to see answer by user_dude2008(1862)

Question 201381: Hello! I need a help with ASAP!!!
Problem 1.
In 1920, the record for a certain race was 45.4 sec. In 1990, it was 44.0 sec.
Let R(t)= the record in the race and t= the number of the year since 1920.

a) Find a linear function that the date
b) Use the function in (a) to predict the record in 2003 and in 2006.
c) Find the year when the record will be 43.56 sec

Find a linear function that fits the data.
R(t)= ?? -002-45.4???
What is the predicted record for 2003? 43.74??
What is the predicted record for 2006? 43.68??
In what year will the predicted record be 43.56 sec??

I appreciate this.
Thank you!

Click here to see answer by nerdybill(7384)

Question 201400: Hello! I need a help ASAP!!!
Problem 3.
In 1920, the record for a certain race was 46.4 sec. In 1990, it was 45.0 sec.
Let R(t)= the record in the race and t= the number of the year since 1920.
a) Find a linear function that the date
b) Use the function in (a) to predict the record in 2003 and in 2006.
c) Find the year when the record will be 44.56 sec
Find a linear function that fits the data.
R(t)= ??
What is the predicted record for 2003?
What is the predicted record for 2006?
In what year will the predicted record be 44.56 sec??
Thank you so much for your help!!!

Click here to see answer by RAY100(1637)

Question 201674: If there is no restriction on food and living space, the rate of growth of a population of living organisms is proportional to the size of the population. Thus, the formula A=A(subscript 0)e^kt is appropriate. Assume that in the absence of hunters, the deer population in New York State triples every 11 years. Find the size of the herd of 500 deer after 5 years. YHANK-YOU.
Click here to see answer by jsmallt9(3758)

Question 201782: Use logarithmic properties to expand the expression,ln(e^3y/x^2),as much as possible. I would appriciate some help.
Click here to see answer by jsmallt9(3758)

Question 201803: explain why the line x=4 is a veritcal line.
Click here to see answer by RAY100(1637)

Question 201856: how would i make graphs for each answer?

1. Write the equation of the line parallel to the line x + 4y = 5 with a y-intercept at ( 0,-2 ). Write your answer in standard form.
x + 4y = 5
-x -x
--------------
4y= -x +5
4y/4 -x/4 5/4
y = -1/4 + 5/4
the slope is -1/4
y = -1/4x - 2
+1/4 +1/4
------------------
1/4x + y = -2
x + 4y = -8

2.Write the equation of the line parallel to the line 3x - 4y = 7 and contains the point (8,-1). Write your answer in standard form.
3x - 4y = 7
-3x -3x
---------------
-4y = -3x + 7
-4y/4 -3x/-4 7/-4
y = 3/4x - 7/4
the slope is 3/4
y - (-1) 3/4
3x -4 =28

3. Write the equation of the line perpendicular to the line 4x - 5y = 1 and passes through the point (-8,5). Write your answer in standard form.
4X - 5Y = 1
-4X -4X
--------------
-5Y = -4 + 1
-5Y/-5 -4/-5 1/-5
y = 4/5x - 1/5
slope is -5/4
y - 5 = -5/4 ( x - 8)
y - 5 = -5/4x -10
y = -5/4x - 5
5/4x + y = -5
4 (5/4x +y =-5)
5x + 4y = -20

4. Write the equation of the line perpendicular to the line 2x + 7y = 3 and passes through the point (0,6). Write your answer in standard form.
2x + 7y = 3
-2x -2x
---------------
7y= -2/7x + 3
7y/7 -2x/7 3/7
the slope is 7/2
y = 7/2x + 6
7/2x + 7 = 6
2 (-7/2x + y =6 )
-7x + 2y = 12
7x - 2y = -12

Click here to see answer by Alan3354(69443)

Question 201877: graph the equation and identify the y-intercept.
y=
_1_
3 x
Click here to see answer by PRMath(133)

Question 201944: how do i graph this?
y= 3/5 + 12/5
Click here to see answer by jojo14344(1513)

Question 201951: Solve the system of equations by graphing. Then classify the system.
7x - 8y = -48
8y - 7x = 48
What is the ordered pair?
Is the system consistent or inconsistent?
Is it dependent or independent?
Can someone also give me a break down of how to do this because I am very confused! Thank you!
Click here to see answer by stanbon(75887)

Question 201984: What is the slope of the line parallel to 4x+3y=7? -1/4,-3/4,3/4or -4/3?
Click here to see answer by nerdybill(7384)

Question 201977: 4x - y = 27
4x - 5y = -15
What is the ordered pair?
Is the system consistent or inconsistent?
Is it dependent or independent?
Can someone also give me a break down of how to do this because I am very confused! Thank you!: Solve the system of equations by graphing. Then classify the system.

Click here to see answer by Earlsdon(6294)

Question 201991: Graph the equation and identify the y intercept. y=1/2x
Click here to see answer by rfer(16322)

Question 201976: x - y = 10
x - y = -2
What is the ordered pair?
Is the system consistent or inconsistent?
Is it dependent or independent?
Can someone also give me a break down of how to do this because I am very confused! Thank you!: Solve the system of equations by graphing. Then classify the system.

Click here to see answer by Alan3354(69443)

Question 201974: x - y = 10
x - y = -2
What is the ordered pair?
Is the system consistent or inconsistent?
Is it dependent or independent?
Can someone also give me a break down of how to do this because I am very confused! Thank you!: Solve the system of equations by graphing. Then classify the system.

Click here to see answer by stanbon(75887)

Question 201671: In a new developement, 50 one-and two-bedroom condominiums were sold. Each one-bedroom condominium sold for $120 thousand and each two bedroom condominium sold for $150 thousand. If sales totaled $7050 thousand, how many of each type of unit was sold?
Click here to see answer by Alan3354(69443)

Question 201992: Translate to an inequality. Use the variable x, the price of an amusement park ticket is greater than or equal to $20.00.
The inequality is___ ___ $___
Simplify answer. Put the variable on the left side of the inequality.
Click here to see answer by jim_thompson5910(35256)

Question 201963: Help Needed;
Graph the feasible region for the system of inequalities.
x + 2y ≥ 2
x - y ≤ 0

Click here to see answer by jim_thompson5910(35256)

Question 201962: Help Needed;
Graph the feasible region for the system of inequalities.
3x - 2y ≤ 6
x - y ≥ 0

Click here to see answer by jim_thompson5910(35256)

Question 201961: Help Needed;
Use graphical methods to solve the linear programming problem.
Maximize z = 6x + 7y
subject to: 2x + 3y ≤ 12
2x + y ≤ 8
x ≥ 0
y ≥ 0

A) Maximum of 24 when x = 4 and y = 0
B) Maximum of 32 when x = 2 and y = 3
C) Maximum of 32 when x = 3 and y = 2
D) Maximum of 52 when x = 4 and y = 4

Click here to see answer by jim_thompson5910(35256)

Question 202015: Please help me solve this equation. Find the x-intercept and the y-intercept Simplify if possible: 5y-4=3x-4.
I tried to add 4 to both sides of the equation but my solution gave me (0,0/5) and 0/3,0). Where did I go wrong?
Click here to see answer by jim_thompson5910(35256)

Question 202033: What is the slope of the line passing through the points (1,-4)and(3,6)? thanks for your help.
Click here to see answer by jim_thompson5910(35256)

Question 202040: Please help me understand how to figure out whether the equations
3x-3y=-9
9x-9y=-27
is consistent, inconsistent, or dependent
Click here to see answer by Alan3354(69443)

Question 202041: f(0), f(2), f(4)
f(x)= -1-x if x<2 and 5-x if x>2
Need domain, range and value of x to graph
Click here to see answer by stanbon(75887)

Question 202056: The instructions are: Use the point plotting method to graph the following equation and identify the slope. (This problem was made up by the instructor for homework.)
-5x + 10y = 20
Thank you for your help.
Click here to see answer by jim_thompson5910(35256)

Question 202143: Solve.
0.2x - 4 ≤ 0.8x+5
Add 4 both,
0.2x-4+4 ≤ 0.8x+5+4
0.2x ≤ 0.8x+9
Subtract 0.8x both,
0.2x ≤ 0.8x +9
0.2x- 0.8x ≤ 0.8x+9-0.8x
-0.6x ≤ 9
I got this far but what is next step? Multiplying?
Thank you!!

Click here to see answer by Alan3354(69443)

Question 202153: complete these ordered pairs for the equation
3x+5y= -30
(0, )
( ,0)
( ,-3)
Click here to see answer by rfer(16322)

Question 202128: How do I graph this equation by using the slope and y intercept form;5y+3=-5? I don't even know how to start solving it, please help.
Click here to see answer by PRMath(133)

Question 202169: I need a small help please!!!!
The body mass index, I can be used to determine an individual�s risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model, I=700W/H2(small 2), where W= weight, in pounds, and H= height, in inches, in inches. Francis weights 198 pounds and stands 76 inches tall. What is his approximate body mass index? Find an inequality describing all weights W that Francis can have and be in the low-risk category.
Francis�s approximate body mass index is ?
(Round to the nearest whole number.)
{W/W < (approximate) ? lb}
(Round to the nearest whole number.)

I=700(198)/76*2
I=138,600/?
Thank you!
Click here to see answer by vleith(2983)

Question 202170: is this correct?
2x � 2y = 6 by graphing 3 points.
-2x -2x
-------------
-2y = -2x + 6
-2y -2x + 6
---- ------
-2 = -2
y = x - 3
y= (0)+3
y= (1)+3
y= (2)+3
x , y
-------
3 , 0
1 , 3
2 , 5

Click here to see answer by jim_thompson5910(35256)

Question 202174: is this correct?

-x + 3y = -9 by graphing the x and y intercepts.
-x = 3(0) = -9 -x(0) - 3y =-9
x = (9,0) --- ----
-3 -3
y = (0 , -3)

Click here to see answer by RAY100(1637)

Question 202174: is this correct?

-x + 3y = -9 by graphing the x and y intercepts.
-x = 3(0) = -9 -x(0) - 3y =-9
x = (9,0) --- ----
-3 -3
y = (0 , -3)

Click here to see answer by stanbon(75887)

Question 202174: is this correct?

-x + 3y = -9 by graphing the x and y intercepts.
-x = 3(0) = -9 -x(0) - 3y =-9
x = (9,0) --- ----
-3 -3
y = (0 , -3)

Click here to see answer by jim_thompson5910(35256)

Question 202246: How do I graph this equation, 6y+5=5y=3? am I supposed to simplify it first?
Click here to see answer by RAY100(1637)

Question 202234: Question: What is the x-coordinate in the solution of the system of equations 4x-5y=-3, 3x+y=-7? thanks for your help.
Click here to see answer by jojo14344(1513)

Question 202357: Which of the following is the radius for the circle whose equation is x^2+6x+y^2-8y=-9? thanks for your help.
Click here to see answer by vleith(2983)

Question 202235: Which system is classified as inconsistent? (1)8x=2y+8, 3y=12x-12 (2)3x-3y=-2, x-y=5 (3) 2x-3y=-4, 2x-y=4 (4) x-y=2, x+y=4 ? please help.
Click here to see answer by RAY100(1637)

Question 202358: The standard form of a circle whose center is (-3,2) and radius 4 is (1)(x-3)^2+(y+2)^2=16 (2)(x+3)^2+(y-2)^2=16 (3) (x-3)^2+(y+2)^2=4 (4) (x+3)^2+(y-2)^2=4
Click here to see answer by RAY100(1637)

Question 202449: graph the equation 5x-10y=20 by your method of choice?
Click here to see answer by jim_thompson5910(35256)

Question 202494: If f(x)=3x^2-2 and g(x)=sqrt x, then find f(small o)g. I thought that small o was a multiplication sign but it isn't, i don't know how to figure this. thanks for your help.
Click here to see answer by Theo(13342)

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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