Question

I will give a medal if you help or fan. @ganeshie8 @undeadknight26 @xapproachesinfinity @SolomonZelman

Answer 1

Which of the following statements best describes the graph of 3x – 2y = 4?

It is a straight line joining the points (6, 2), (5, 1), and (7, 3).

It is a straight line joining the points (0, –2), (2, 1), and (–2, –5).

It is a curve joining the points (3, –2), (2, 3), and (4, 1).

It is a curve joining the points (0, 2), (–2, –1), and (4, 1).

Answer 2

can you put this in y=mx+b form

Answer 3

Well, it is definitely not a curve :)

Answer 4

Ill give ya its a straight line.

Answer 5

I have enough medals and fans... man, just plug in your points from option A, and then points from option B .

Answer 6

okay hold on

Answer 7

B

Answer 8

Hint: y-intercept

Answer 9

YEs

Answer 10

It is B

Answer 11

Do you mind helping with more

Answer 12

I can try at least.

Answer 13

Just to check my work.

Answer 14

sure

Answer 15

The tables below show the values of f(x) and g(x) for different values of x:

f(x) = 2(3)x
x f(x)
-2 0.22
-1 0.67
0 2
1 6
2 18


g(x) = 3x + 3
x g(x)
-2 3.11
-1 3.33
0 4
1 6
2 12


Based on the tables, what is the solution to the equation 2(3)x = 3x + 3?

x = –1

x = 0

x = 1

x = 6

Answer 16

I don;t really get what `2(3)x` is supposed to mean

Answer 17

2(3)^x ?

Answer 18

C

Answer 19

I think its C

Answer 20

The y-coordinate is approximately 1.

Answer 21

the x-coordinate is about -1, well -0.686

Answer 22

I graphed the functions that is where they intersect.

Answer 23

so i was wrong?

Answer 24

It is x=1. But next question.

Answer 25

The two lines, X and Y, are graphed below:

Line X is drawn by joining ordered pairs negative3,12 and 7,negative16. Line Y is drawn by joining ordered pairs 0, negative14 and 11, 8

Determine the solution and the reasoning that justifies the solution to the systems of equations.

(2, 7), because this point is true for both the equations

(4, –6), because this point lies only on one of the two lines

(4, –6), because this point makes both the equations true

(2, 7), because the lines intersect the x-axis at these points @SolomonZelman

Answer 26

@phi can you look over this?

Answer 27

B for the 3rd^

Answer 28

which question?

Answer 29

the one i just posted.

Answer 30

based on the wording B and D are not the answer.
note for B: (4, –6), because this point lies only on *one* of the two lines

the solution must lie on *both lines*. so B is incorrect
so it is either A or C

Answer 31

It is hard to read numbers mixed with words.
are the points (-3,12) and (7,-16) for the first line?
and (0,-14) , (11,8) for the points on the second line ?

Answer 32

yes

Answer 33

There seems to be something wrong. we can find the equation of the second line to be
y= 2x -14
and of the two choices (2,7) and (4,-6) on (4,-6) is on this line
in other words, -6 = 2*4-14 is true

however, the equation of the first line does not contain either of the two choices.

Answer 34

i will skip this one and come back to it.

Answer 35

I think they have a typo in the points given for the first line

Answer 36

An equation is shown below:

3 over 2 multiplied by x plus 7 over 2 equals 2 to the power of x

Answer 37

i got 1

Answer 38

Here is the graph. Notice that (6,-4) is on the 2nd line and close to the first.
point (7,2) (the red dot) is not on either line.

Answer 39

no 3

Answer 40

can you use the equation editor?

Answer 41

x=3

Answer 42

what is that?

Answer 43

It's the button on the bottom left of the input area
it lets you put in complicated equations

Answer 44

but this is my guess
\[ \frac{3x}{2} + \frac{7}{2} = 2^x \]
if you multiply both sides by 2 you get
\[ 3x + 7 = 2^{x+1} \]
this is a difficult equation to solve. But you can test each choice, and see if the works.

Answer 45

x=3 gives
9+7 = 2^(3+1)
16= 2^4
16=16
which is true. so x=3 is an answer.

Answer 46

yes i did it on paper and got x=3 but i subtracted the first time and got 1.

Answer 47

The graph below shows two functions:

function f of x is a straight line which joins the ordered pairs negative 2.8,16 and 3.5, negative 2.5. Function g of x is a curved line which joins the ordered pairs negative 1.9, 13.5 and 2.6, 0

Based on the graph, what are the approximate solutions to the equation –3x + 8 = (0.25)x?

1.9 and –2.6

8 and 2.6

1 and 2.6

–1.9 and 2.6

Answer 48

I have no idea about this one ^

Answer 49

you look for where the two curves cross each other
your graph should look like this

Answer 50

they are asking for the x values of the two points where the lines cross.

do you see the lines cross in 2 places?

Answer 51

Its on 2.7 though

Answer 52

yes, but they say approximate so we have some wiggle room on this one.

Answer 53

D

Answer 54

yes. if we try for example x = -1.9 in the equation it should (almost) work
–3x + 8 = (0.25)^x
13.7 =? 13.9 (according to my calculator) which is pretty close
(we would need a lot more decimals to make it an exact match)

Answer 55

so i round up?

Answer 56

for a whole number

Answer 57

no, I was just checking one of their answers to show it is reasonable.
when we read off answers from a graph it is only going to be "close" unless we zoom in.
so D is the answer