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solve the inequality. graph your solution.
x+3 > or equal to 15
 one year ago
 one year ago
solve the inequality. graph your solution. x+3 > or equal to 15
 one year ago
 one year ago

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jim_thompson5910Best ResponseYou've already chosen the best response.1
Hint: x > k breaks into x < k or x > k where k is some positive number
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
is it still correct if the arrows go in the same direction when I graph it?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
no the arrows should be going in opposite directions
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
oh so you flip the sign when you make k a negative?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
what did you get
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
x> or equal to 12 and x < or equal to 18
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
good, you got it
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you're welcome
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
find the slope of the line passing through the given points. then tell whether the line rises, falls, is horizontal, or is vertical. (7,4) (5,3)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
use the slope formula m = (y2  y1)/(x2  x1)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
in this case (x1,y1) = (7,4) (x2,y2) = (5,3)
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
how do I find out whether the line rises, falls..etc ?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
what did you get for the slope
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
oh so the line decreases bc it has a negative slope?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you nailed it
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
Do you mind if i ask you questions from time to time ? I'm trying to study for a trig final on monday.
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
sure I can help
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
thanks! alright so this question has the same guidelines as the one we just did but with these coordinates (5/4, 3); (2/3, 3) my friend had an error in her calculator trying to find the slope , but I got m=0 ...im confused
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you're correct, it's 0 how do I know so quickly? notice that the y coordinates are both equal to 3 since the y coordinates are equal, the slope will always be 0 because you have a horizontal line through y = 3
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
all horizontal lines have a slope of 0
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
using m = (y2  y1)/(x2  x1) we get m = (y2  y1)/(x2  x1) m = (3  3)/(2/3  (5/4)) m = 0/(2/3  (5/4)) m = 0
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
oh ok i understand
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
what if the x coordinates are equal? would that make the line vertical?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
and the slope would be undefined
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
how would i graph y=x3?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
do you know how to graph y =  x 
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
i think so? would there be 2 lines?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yes here is your blank xy axis dw:1359244103163:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
the graph of y =  x  looks like this dw:1359244135745:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
to graph y=x3, you just shift over y = x three units to the right
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
im not sure i get you there...
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
imagine you can pick up that v shaped graph and move it around well just move it over 3 to the right units like this dw:1359244315265:dw
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
but how do i know the coordinates to create the v shape
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
i understand the moving it to the right part
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
the sharp point on the V of y = x is at (0,0) move that point over 3 units to the right to get (3,0)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1359244469161:dw
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
yes i understand that but what are the other coordinates for that shape?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
(1,1) is on the original graph y = x move that 3 units to the right to get (4,1)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1359244638800:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
(1,1) is on the original graph y = x move that 3 units to the right to get (2,1)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1359244675721:dw
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
ohhhh so the slope for it is rise 1 over 1?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
for the right half of it, yes
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1359244723365:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
left half, slope is 1 dw:1359244745927:dw
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
ohhh ok so on the left side for any problem i will always decrease 1 and rise 1?
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
im trying to understand the concept so i can graph any absolute value problem
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
on the left side, you go down 1 and over to the right 1 on the right side, you go up 1 and over to the right 1
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
the problem they gave me was y=x3 would you have to move to graph from (0,0) to (0,3) ? you moved it up 3
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
if it was x  3, then you would move (0,0) to (0,3)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
but it's actually x3
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
would i be able to just plug this in to my calculator ?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yes you should be able to
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
do you know how to graph absolute value equations?
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
I guess I forgot :/
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
what kind of calculator do you have
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
i just found the absolute value button on my TI83
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
and i put it into the y= and i got what you showed me earlier
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
ok great, glad you did
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
Solve the equation. \[4x ^{2}6x+9=0\]
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you can either factor or use the quadratic formula
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
oh wait, one sec
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
no you can't factor, so you'll have to use the quadratic formula
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
how do you know you cant factor this problem?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
D = b^2  4ac D = (6)^2  4(4)(9) D = 36  4(4)(9) D = 36  144 D = 108 because the discriminant is negative, there are no real solutions so that's why you can't factor
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
oh okay, and i can use the discriminant as a test on any problem that looks like this one?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yes if the discriminant is a) positive or zero and b) a perfect square then the quadratic can be factored
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
solve the system of linear equations using any method. 2x+3y=47 7x8y=2 2xy+3z=19
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
solve the first two equations for x and y once you have x and y, use them to find z
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
im not sure how i ended up with 111 for y... the answers say its wrong
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
no y should be 9, try it again
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
i did elimination with the first two equations
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
to get them to equal to 14 and 14 so they can cancel out but i keep getting 111
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
2x+3y=47 7x8y=2 8(2x+3y)=8*47 3(7x8y)=3(2) 16x+24y=376 21x24y=6  72x+0y = 370 37x = 370 x = 370/37 x = 10 2x+3y=47 2(10)+3y=47 20+3y = 47 3y = 4720 3y = 27 y = 27/3 y = 9 So x = 10 and y = 9 Use them to find z
 one year ago

NatalieandKaylaBest ResponseYou've already chosen the best response.1
Oh! I understand now, thank you so much :)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you're welcome
 one year ago
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