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

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Question 50558: The graph of y = x^4 + 7x^2 - 8 is symmetric with respect to the y axis.
a. True
b. False

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

Question 50647: ) Determine if the point (–2, –9) lies in the viewing window defined by Xmin = –3,
Xmax = 12, Ymin = –6, Ymax = 15.
a. Yes
b. No

Click here to see answer by rapaljer(3620) About Me 

Question 50674This question is from textbook Beginning Algebra
: Please help:
I need to write the equation of the line with slope -2 and y-intercept (0,0,) then I am expected to graoh the line.
How do I do this?
This question is from textbook Beginning Algebra

Click here to see answer by venugopalramana(3286) About Me 

Question 50652: Dear Tutor,
Please help me with this problem..thanks!
Why is 2y+7x=-3 considered a line? We were asked in multiple choice form, and I figured this equation was a line by process of elimination but I would like to know why.
Thank You,
student in need

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Question 50540: Find the coodinates of the points one-third and two-thirds of the wa from the point (1,2) to the point (7,11) in the coodinate plane.
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Question 50542: Find the coodinates of the points one-third and two-thirds of the way from the point (1,2) to the point (7,11) in the coodinate plane.
Click here to see answer by venugopalramana(3286) About Me 

Question 50744This question is from textbook
: y=(y2 - y1 / x2 - y1)x+b
If you could please show the steps to how you solved this I would appreciate it.
Thanks
This question is from textbook

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Question 50745: I just submitted a question - Please solve for y2.
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Question 50742: HEY!
I have this problem that I can not figure out!
"The coordinates of rectangle ABCD are A(0,2), B(4,8), C(7,6) and D(3,0). Show that the diagonals are equal in length." I tried to solve this by drawing it out on graph paper but I do not know how to show that the diagonals are equal in length.
Thank you if you can help,
Student in need

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

Question 50740: Hello,
I was wondering how you write the equation of a line that is drawn on a graph. I think you would use y=mx+b, but I am not sure how you would plug the numbers in. The problem just shows a graph with a diagonal line and the y intercept is 0,2. The x intercept is 2,0. I know this question may sound confusing because I can't draw the graph but if you could help that would be great!
Thanks




























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Question 50755: Determine whether the relation is a function. If it is a function, state its domain and range.
{(–2, 3), (0, 10), (1, 3), (4, 8)}
a. Domain: {3, 10, 8}; Range: {–2, 0, 1, 4}
b. Domain: {–2, 0, 1, 4}; Range: {3, 10, 8}
c. Domain: {–2, 0, 1, 4}; Range: 7
d. The relation is not a function.

Click here to see answer by stanbon(26268) About Me 

Question 50756: Determine whether the set T= {( –2, –8), (–1, –1), (0, 0), (–1, 1), (–2, 8)} defines a function. If it does, then state the domain and range.

a. T does not define a function.
b. T defines a function with domain { –2, –1, 0} and range { –8, –1, 0, 1, 8}.
c. T defines a function with domain { –8, –1, 0, 1, 8} and range { –2, –1, 0}.
d. T defines a function with domain {( –2, –8), (–1, –1), (0, 0), (–1, 1), (–2, 8)} and range { –2, –1, 0}.

Click here to see answer by stanbon(26268) About Me 

Question 50782This question is from textbook Beginning Algebra
: Can someone please help me. I am not sure what my practice problem is asking me to do.
Graph using the intercept method: x + 3y = 6
This question is from textbook Beginning Algebra

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Question 50791This question is from textbook
: simplify a(3+5)-6(3a-1)?This question is from textbook

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Question 50810: Please help me graph: y=x-3

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Question 50809: Please help me graph this problem: y=x-3
Click here to see answer by darq(90) About Me 

Question 50785This question is from textbook Beginning Algebra
: Solve and graph the solution set. 3x => 7x + 20 (I am figuring I need a line graph like this??
<------●------/----->
–5 0
Please help...
This question is from textbook Beginning Algebra

Click here to see answer by darq(90) About Me 

Question 50819: How does replacing f(x) by f(x) + 4 in y = f(x) affect the graph of y = f(x) ?
a. The graph is shifted four units upward.
b. The graph is shifted four units downward.
c. The graph is shifted four units to the right.
d. The graph is shifted four units to the left.
e. The graph is expanded vertically.
f. The graph is contracted vertically.
g. none of these describes the transfromation given.

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Question 50829: if i have an equation like -3x=2y-10 if i was to solve for y would it be 5+-1.5=y?
Click here to see answer by Earlsdon(4900) About Me 

Question 50840: Find two quadrants in which there are no points on the graph of y = x^2 + 1.
a. I & II
b. I & III
c. I & IV
d. II & III
e. II & IV
f. III & IV
g. Al of these have points in at least three quadrants.

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Question 50871: how do you solve a problem like, Y=3X-2 when -1<=X<=3,?
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Question 50878:
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Question 50942: solve the equation by completing the square, give exact solutions. x^2+ 4x-12=0
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Question 50942: solve the equation by completing the square, give exact solutions. x^2+ 4x-12=0
Click here to see answer by stanbon(26268) About Me 

Question 50963: Determine whether the set T= {( –2, –8), (–1, –1), (0, 0), (–1, 1), (–2, 8)} defines a function. If it does, then state the domain and range.
a. T does not define a function.
b. T defines a function with domain { –2, –1, 0} and range { –8, –1, 0, 1, 8}.
c. T defines a function with domain { –8, –1, 0, 1, 8} and range { –2, –1, 0}.
d. T defines a function with domain {( –2, –8), (–1, –1), (0, 0), (–1, 1), (–2, 8)} and range { –2, –1, 0}.

Click here to see answer by stanbon(26268) About Me 

Question 50945: write an equation in the slope-intercept form for a line that passes through the given pair of points. (-2,-8), (-9,-1)
Click here to see answer by checkley71(8405) About Me 

Question 51039: The graph of y = x^4 + 7x^2 - 8 is symmetric with respect to the y axis.
a. True
b. False

Click here to see answer by stanbon(26268) About Me 

Question 51057: graph the compound inequality -7<=x<4 on a number line
Click here to see answer by junior403(76) About Me 

Question 51012:
Name the coordinate:
From the origin, the point is four places to the right and five places down.

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Question 51110: Solve by elmination...
3x+4y=-10
5x-2y=18

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Question 51106: Solve by elimination...
3x-y=21
2x+y=4

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Question 51117: I don't know if this is under the correct subject.
I have to graph a piecewise function.
f(x)=
{1/2x-5}, if x < -2
{5x+4}, if x is greater than or equal to -2

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Question 51119: Solving by elimination..
3x+2y=9
-x+3y=8

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Question 51151: what is x/7=6 please i need this done today
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Question 51185: Find two quadrants in which there are no points on the graph of xy = 12.
a. I & II
b. I & III
c. I & IV
d. II & III
e. II & IV
f. III & IV
g. Al of these have points in at least three quadrants.

Click here to see answer by THANApHD(104) About Me 

Question 51201: Determine if the point (–5, 3) lies in the viewing window defined by Xmin = –3, Xmax = 12, Ymin = –6, Ymax = 15.
a. Yes
b. No

Click here to see answer by rapaljer(3620) About Me 

Question 51199: Find two quadrants in which there are no points on the graph of xy = 12.
a. I & II
b. I & III
c. I & IV
d. II & III
e. II & IV
f. III & IV
g. Al of these have points in at least three quadrants.

Click here to see answer by rapaljer(3620) About Me 

Question 51186: Determine whether the relation is a function. If it is a function, state its domain and range.
{(–8, 7), (–5, –4), (–3, 3), (–3, 6)}
a. Domain: {7, –4, 3, 6}; Range: {–8, –5, –3}
b. Domain: {–8, –5, –3}; Range: {7, –4,3, 6}
c. Domain: {–8, –5, –3}; Range: 11
d. The relation is not a function.

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Question 51008: Find the midpoint between these points:
(-6, 3) and (4, -9)

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Question 51286: What is the slope and y- interceptof this equation: y = -x
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Question 51291: I am having problems with this question. an explanation would be awesome. i think i'm just havin problems with the fraction part.

Find the equation of the line, in standard form, with a slope of 1/4 passing through the point (9,2)

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Question 51314: f(x)=x^2+6x+5
What is the y- intercept of this function?
My ans is (5,0)
and what is the zero's of this parabola?
My ans is (0,-1),(0,-5)

am I correct?

Click here to see answer by rapaljer(3620) About Me 
Question 51314: f(x)=x^2+6x+5
What is the y- intercept of this function?
My ans is (5,0)
and what is the zero's of this parabola?
My ans is (0,-1),(0,-5)

am I correct?

Click here to see answer by AnlytcPhil(958) About Me 

Question 51716: graph the equation 5x-y=5
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Question 51717: Graph y=3x
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