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if |x-5| >0 , then x-5=3 if |x-5| <0, then -x-(-5)=3; -x+5=3
since x is a variable, you can't say |x-5| is > or < than 0, so you must consider both cases (unless the question tells you if it is < or >)
haha right. It's a
linear function means the graph will be a straight line so, if you take the same deltax for diferent x's, there should be the same deltay in both cases I guess it's a bit confuse - sorry I can't explain the right way cause my english is poor...
like if you pick up x1=1, y1=1 & x2=2, y2=-3 for any other deltax = x2-x1 = 1, there should be the same deltay = y2=y1 = -4
i suppose its not ?
it is! plot the graph and you will see. Every point (x,y) is in an unique line
oooh haha thanks
Tell whether the sequence is arithmetic. If it is, what is the common difference? –12, –7, –2, 3, . . . (1 point) yes; 5 yes; 8 yes; 3 no
and you can even write the function, which is y=5-4x
that one is yes; 5 ?
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x y 3 6 6 18 8 24 (1 point) yes; y = 2x yes; y = 3x yes; y = 4x no; y does not vary directly with x
in this case, any member of the sequence is given by An= -12 + 5n
hahaha, calm down!
well, that's the same as the other
actually, it is yes
The table shows the height of a tree as it grows. What equation in slope-intercept form gives the tree's height at any time? Time (months) Height (inches) 2 14 4 23 6 32 8 41 y = 9x + 2 y = 9/2x + 5 y = 9/2x y = 5x + 9/2
(by the way, the previous one is d, sorry)
i know, thank you
you need to find the slope which is deltay/deltax
y=ax+b a is the slope once you find it, just put any value for y from the tableand you get b
Write y = –2/5x – 3 in standard form using integers. 2x + 5y = –15 2x + y = –3 2x + 5y = –3 x + y = –15
it is (-2/5)x , right?
just multiply everything by 5
no a ! haha
thanks your helping so much
Write the equation of a line that is perpendicular to the given line and that passes through the given point. y = –1/3x + 5; (4, 3) y = –3x + 15 y = 3x – 9 y = –4x + 3 y = –1/3x – 11
you're welcome :)
aaaaaa, I forgot the rule
to be perpendicular, the multiplication of the slopes' values must be -1, is it right?
the equation you need to find is y=ax+b a.(-1/3) = ? then substitute (4;3)
ah, the slope2 of a perpendicular line is -1/slope1
a1 the slope of a line a2 the slope of a perpendicular line then a2= -1/a1 or a1.a2=-1
What is the solution of the system? y = x – 14 y = –4x + 11 (5, –9) 1 over 5 and – (69 over 5) 5 over 3 and – (37 over 3) – (3 over 5) and – (73 over 5)
subtracting the first by the second, you have 0=5x-25 this gives you x=5
substitue x in any of the equations and you find y
idk where 0=5x-25 is from :/
y=x-14 y=-4x+11 (minus) _____________ 0=x-(-4x)-14-11
or since y=y, then x-14=-4x+11
no, it's a, the simplest
Bradley and Ryan are having a contest to see who can collect the most bumper stickers. Bradley started with 23 bumper stickers and plans to add 4 each month. Ryan has 9 bumper stickers and plans to add 6 each month. After how many months will they have the same number of bumper stickers? (1 point) 10 months 2 months 7 months 51 months
a way to solve it is writing the equations of stickers collected by each of them
being m = months, then Bradley: Stickers=23+4m Ryan: Stickers=9+6m
it means BRadley has 23 stickers and owns 4more each month and Ryan has 9 stickers and owns 6 more each month
it is the same as the previous, and you can just write y=23+4x y=9+6x you want to know x
in this case, you don't want to know y
either, you could substitute the options in the formulas and see if they give the same number
i dont know :(
Sure you know! Bradley: [number of stickers]=23+4x Ryan: [number of stickers]=9+6x
if you call number of stickers as 'y' then you see that y MUST be the same in both equations
and so the right hand sides of the equations
so 23+4x=9+6x and you just need to find x
the secret in this question is to transform words in equations, once you done that, you solve matematicaly (?)
haha thank you thank you
oh well, there's any other problem? I must go soon :P
k last one How many solutions does the system have? 12y = –3x + 20 y = –1/4x + 5/3 (1 point) one two infinite none i think its infinite?
You are right
but look at the system and you will see one is the same as the other
one equation is the same as the other
so you can't find just one value for (x,y) any x value gives an right y value
multiply the second by 12, and you will end up with 2 equal equations
oohh so its B?
no, it is infinite, as you said
you have 1 equation and 2 variables
any given value of x will result in a y or any y will result in a x
all of then right
What is the slope of the line that passes through the pair of points? (5, 7), (2, 1) 8/7 2 –8/7 1/2
i still have to graph some questions but i will let you know
if you are not in a hurry, i can answer as soon as i come back
k im not in a hurry
(7-1)/(2-5) or (1-7)/(5-2) You just need to use the correspondent positions to x's and y's values
like (y2-y1)/(x2-x1) or (y1-y2)/(x1-x2) but not (y2-y1)/(x1-x2) or (y1-y2)/(x2-x1)
any other question, message me :) bye!