Question

│x – 5│ = 3

a. x = 8 and x = 2
b. x = 8 and x = –2
c. x = 8
d. x = 2

Answer 1

if |x-5| >0 , then x-5=3

if |x-5| <0, then -x-(-5)=3;
-x+5=3

Answer 2

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 >)

Answer 3

d?

Answer 4

not d

Answer 5

ohh a?

Answer 6

haha right. It's a

Answer 7

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...

Answer 8

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

Answer 9

i suppose its not ?

Answer 10

it is!

plot the graph and you will see. Every point (x,y) is in an unique line

Answer 11

oooh haha thanks

Answer 12

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

Answer 13

and you can even write the function, which is y=5-4x

Answer 14

that one is yes; 5 ?

Answer 15

right

Answer 16

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

Answer 17

d?

Answer 18

in this case, any member of the sequence is given by An= -12 + 5n

Answer 19

hahaha, calm down!

Answer 20

haha mybad

Answer 21

well, that's the same as the other

Answer 22

actually, it is yes

Answer 23

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

Answer 24

(by the way, the previous one is d, sorry)

Answer 25

i know, thank you

Answer 26

you need to find the slope
which is deltay/deltax

Answer 27

y=ax+b
a is the slope

once you find it, just put any value for y from the tableand you get b

Answer 28

Write y = –2/5x – 3 in standard form using integers.

2x + 5y = –15
2x + y = –3
2x + 5y = –3
x + y = –15

Answer 29

it is (-2/5)x , right?

Answer 30

yep

Answer 31

just multiply everything by 5

Answer 32

c?

Answer 33

no a ! haha

Answer 34

yes

Answer 35

thanks your helping so much

Answer 36

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

Answer 37

you're welcome :)

Answer 38

aaaaaa, I forgot the rule

Answer 39

to be perpendicular, the multiplication of the slopes' values must be -1, is it right?

Answer 40

the equation you need to find is y=ax+b

a.(-1/3) = ?

then substitute (4;3)

Answer 41

ah, the slope2 of a perpendicular line is -1/slope1

Answer 42

a1 the slope of a line
a2 the slope of a perpendicular line

then a2= -1/a1

or a1.a2=-1

Answer 43

hmm C?

Answer 44

yes

Answer 45

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)

Answer 46

subtracting the first by the second, you have 0=5x-25

this gives you x=5

Answer 47

substitue x in any of the equations and you find y

Answer 48

im confused

Answer 49

idk where 0=5x-25 is from :/

Answer 50

y=x-14

y=-4x+11 (minus)
_____________

0=x-(-4x)-14-11

Answer 51

or
since y=y, then x-14=-4x+11

Answer 52

d?

Answer 53

no, it's a, the simplest

Answer 54

ohh lol

Answer 55

haha

Answer 56

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

Answer 57

a way to solve it is writing the equations of stickers collected by each of them

Answer 58

being m = months, then

Bradley: Stickers=23+4m
Ryan: Stickers=9+6m

Answer 59

it means BRadley has 23 stickers and owns 4more each month
and Ryan has 9 stickers and owns 6 more each month

Answer 60

b.2 months?

Answer 61

it is the same as the previous, and you can just write

y=23+4x
y=9+6x

you want to know x

Answer 62

not b

Answer 63

hmm

Answer 64

in this case, you don't want to know y

Answer 65

either, you could substitute the options in the formulas and see if they give the same number

Answer 66

i dont know :(

Answer 67

Sure you know!

Bradley: [number of stickers]=23+4x
Ryan: [number of stickers]=9+6x

Answer 68

if you call number of stickers as 'y'

then you see that y MUST be the same in both equations