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jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1Hint: x > k breaks into x < k or x > k where k is some positive number

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1is it still correct if the arrows go in the same direction when I graph it?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1no the arrows should be going in opposite directions

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1oh so you flip the sign when you make k a negative?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1what did you get

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1x> or equal to 12 and x < or equal to 18

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1good, you got it

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1you're welcome

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1find 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)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1use the slope formula m = (y2  y1)/(x2  x1)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1in this case (x1,y1) = (7,4) (x2,y2) = (5,3)

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1how do I find out whether the line rises, falls..etc ?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1what did you get for the slope

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1oh so the line decreases bc it has a negative slope?

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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1sure I can help

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1thanks! 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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1you'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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1all horizontal lines have a slope of 0

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1using 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

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1oh ok i understand

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1what if the x coordinates are equal? would that make the line vertical?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1and the slope would be undefined

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1how would i graph y=x3?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1do you know how to graph y =  x 

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1i think so? would there be 2 lines?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yes here is your blank xy axis dw:1359244103163:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1the graph of y =  x  looks like this dw:1359244135745:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1to graph y=x3, you just shift over y = x three units to the right

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1im not sure i get you there...

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1imagine 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

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1but how do i know the coordinates to create the v shape

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1i understand the moving it to the right part

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1the 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)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1359244469161:dw

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1yes i understand that but what are the other coordinates for that shape?

jim_thompson5910
 2 years ago
Best 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)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1359244638800:dw

jim_thompson5910
 2 years ago
Best 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)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1359244675721:dw

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1ohhhh so the slope for it is rise 1 over 1?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1for the right half of it, yes

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1359244723365:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1left half, slope is 1 dw:1359244745927:dw

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1ohhh ok so on the left side for any problem i will always decrease 1 and rise 1?

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1im trying to understand the concept so i can graph any absolute value problem

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1on 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

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1the 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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1if it was x  3, then you would move (0,0) to (0,3)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1but it's actually x3

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1would i be able to just plug this in to my calculator ?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yes you should be able to

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1do you know how to graph absolute value equations?

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1I guess I forgot :/

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1what kind of calculator do you have

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1i just found the absolute value button on my TI83

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1and i put it into the y= and i got what you showed me earlier

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1ok great, glad you did

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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1you can either factor or use the quadratic formula

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1oh wait, one sec

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1no you can't factor, so you'll have to use the quadratic formula

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1how do you know you cant factor this problem?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1D = 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

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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yes if the discriminant is a) positive or zero and b) a perfect square then the quadratic can be factored

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

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1solve the first two equations for x and y once you have x and y, use them to find z

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1im not sure how i ended up with 111 for y... the answers say its wrong

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1no y should be 9, try it again

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1i did elimination with the first two equations

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1to get them to equal to 14 and 14 so they can cancel out but i keep getting 111

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.12x+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

NatalieandKayla
 2 years ago
Best ResponseYou've already chosen the best response.1Oh! I understand now, thank you so much :)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1you're welcome
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