anonymous
  • anonymous
│x – 5│ = 3 a. x = 8 and x = 2 b. x = 8 and x = –2 c. x = 8 d. x = 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
if |x-5| >0 , then x-5=3 if |x-5| <0, then -x-(-5)=3; -x+5=3
anonymous
  • anonymous
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 >)
anonymous
  • anonymous
d?

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anonymous
  • anonymous
not d
anonymous
  • anonymous
ohh a?
anonymous
  • anonymous
haha right. It's a
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
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...
anonymous
  • anonymous
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
anonymous
  • anonymous
i suppose its not ?
anonymous
  • anonymous
it is! plot the graph and you will see. Every point (x,y) is in an unique line
anonymous
  • anonymous
oooh haha thanks
anonymous
  • anonymous
|dw:1358481474606:dw|
anonymous
  • anonymous
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
anonymous
  • anonymous
and you can even write the function, which is y=5-4x
anonymous
  • anonymous
that one is yes; 5 ?
anonymous
  • anonymous
right
anonymous
  • anonymous
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
anonymous
  • anonymous
d?
anonymous
  • anonymous
in this case, any member of the sequence is given by An= -12 + 5n
anonymous
  • anonymous
hahaha, calm down!
anonymous
  • anonymous
haha mybad
anonymous
  • anonymous
well, that's the same as the other
anonymous
  • anonymous
actually, it is yes
anonymous
  • anonymous
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
anonymous
  • anonymous
(by the way, the previous one is d, sorry)
anonymous
  • anonymous
i know, thank you
anonymous
  • anonymous
you need to find the slope which is deltay/deltax
anonymous
  • anonymous
y=ax+b a is the slope once you find it, just put any value for y from the tableand you get b
anonymous
  • anonymous
Write y = –2/5x – 3 in standard form using integers. 2x + 5y = –15 2x + y = –3 2x + 5y = –3 x + y = –15
anonymous
  • anonymous
it is (-2/5)x , right?
anonymous
  • anonymous
yep
anonymous
  • anonymous
just multiply everything by 5
anonymous
  • anonymous
c?
anonymous
  • anonymous
no a ! haha
anonymous
  • anonymous
yes
anonymous
  • anonymous
thanks your helping so much
anonymous
  • anonymous
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
anonymous
  • anonymous
you're welcome :)
anonymous
  • anonymous
aaaaaa, I forgot the rule
anonymous
  • anonymous
to be perpendicular, the multiplication of the slopes' values must be -1, is it right?
anonymous
  • anonymous
the equation you need to find is y=ax+b a.(-1/3) = ? then substitute (4;3)
anonymous
  • anonymous
ah, the slope2 of a perpendicular line is -1/slope1
anonymous
  • anonymous
a1 the slope of a line a2 the slope of a perpendicular line then a2= -1/a1 or a1.a2=-1
anonymous
  • anonymous
hmm C?
anonymous
  • anonymous
yes
anonymous
  • anonymous
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)
anonymous
  • anonymous
subtracting the first by the second, you have 0=5x-25 this gives you x=5
anonymous
  • anonymous
substitue x in any of the equations and you find y
anonymous
  • anonymous
im confused
anonymous
  • anonymous
idk where 0=5x-25 is from :/
anonymous
  • anonymous
y=x-14 y=-4x+11 (minus) _____________ 0=x-(-4x)-14-11
anonymous
  • anonymous
or since y=y, then x-14=-4x+11
anonymous
  • anonymous
d?
anonymous
  • anonymous
no, it's a, the simplest
anonymous
  • anonymous
ohh lol
anonymous
  • anonymous
haha
anonymous
  • anonymous
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
anonymous
  • anonymous
a way to solve it is writing the equations of stickers collected by each of them
anonymous
  • anonymous
being m = months, then Bradley: Stickers=23+4m Ryan: Stickers=9+6m
anonymous
  • anonymous
it means BRadley has 23 stickers and owns 4more each month and Ryan has 9 stickers and owns 6 more each month
anonymous
  • anonymous
b.2 months?
anonymous
  • anonymous
it is the same as the previous, and you can just write y=23+4x y=9+6x you want to know x
anonymous
  • anonymous
not b
anonymous
  • anonymous
hmm
anonymous
  • anonymous
in this case, you don't want to know y
anonymous
  • anonymous
either, you could substitute the options in the formulas and see if they give the same number
anonymous
  • anonymous
i dont know :(
anonymous
  • anonymous
Sure you know! Bradley: [number of stickers]=23+4x Ryan: [number of stickers]=9+6x
anonymous
  • anonymous
if you call number of stickers as 'y' then you see that y MUST be the same in both equations
anonymous
  • anonymous
and so the right hand sides of the equations
anonymous
  • anonymous
so 23+4x=9+6x and you just need to find x
anonymous
  • anonymous
the secret in this question is to transform words in equations, once you done that, you solve matematicaly (?)
anonymous
  • anonymous
7months!
anonymous
  • anonymous
yes! haha
anonymous
  • anonymous
haha thank you thank you
anonymous
  • anonymous
oh well, there's any other problem? I must go soon :P
anonymous
  • anonymous
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?
anonymous
  • anonymous
let's see
anonymous
  • anonymous
You are right
anonymous
  • anonymous
but look at the system and you will see one is the same as the other
anonymous
  • anonymous
one equation is the same as the other
anonymous
  • anonymous
so you can't find just one value for (x,y) any x value gives an right y value
anonymous
  • anonymous
multiply the second by 12, and you will end up with 2 equal equations
anonymous
  • anonymous
oohh so its B?
anonymous
  • anonymous
no, it is infinite, as you said
anonymous
  • anonymous
i see
anonymous
  • anonymous
you have 1 equation and 2 variables
anonymous
  • anonymous
any given value of x will result in a y or any y will result in a x
anonymous
  • anonymous
all of then right
anonymous
  • anonymous
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
anonymous
  • anonymous
deltay/deltax
anonymous
  • anonymous
i still have to graph some questions but i will let you know
anonymous
  • anonymous
if you are not in a hurry, i can answer as soon as i come back
anonymous
  • anonymous
k im not in a hurry
anonymous
  • anonymous
(7-1)/(2-5) or (1-7)/(5-2) You just need to use the correspondent positions to x's and y's values
anonymous
  • anonymous
like (y2-y1)/(x2-x1) or (y1-y2)/(x1-x2) but not (y2-y1)/(x1-x2) or (y1-y2)/(x2-x1)
anonymous
  • anonymous
any other question, message me :) bye!
anonymous
  • anonymous
thank u

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