Question

What is the rate of change from x = 0 to x = ?

Answer 1

@helper99 @amistre64

Answer 2

Not enough information given.

Answer 3

x=0 to x=pie/2 sorry

Answer 4

@freckles

Answer 5

So you aren't given a function?

Answer 6

You just want to know the change in x's?

Answer 7

I'm given a graph but I don't know how to attach it.

Answer 8

Well yeah that is important information because with out a change of something over another change in something we do not have a rate of change

Answer 9

How do I attach the graph?

Answer 10

anyways find the y value that corresponds to x=0

then also find the y value that corresponds to x=pi/2

Answer 11

when x=0 y=0

Answer 12

ok and what y value corresponds to x=pi/2?

Answer 13

y=3

Answer 14

I know there's a formula for slope but Im not sure for this one

Answer 15

\[\frac{y_2-y_1}{x_2-x_1}\]
will give you average rate of change

Answer 16

ok let me calculate that

Answer 17

sorry I can't figure this one out

Answer 18

so you are having trouble taking 0 from pi/2?
And taking 0 from 3?

Answer 19

it has to be
-pie/6
pie/6
6/pie

Answer 20

You do know that a-0 is a right?
or that 0-a=-a ?

Answer 21

Or are you having trouble with the division?

Answer 22

\[\frac{a}{\frac{b}{c}}=a \div \frac{b}{c}=a \cdot \frac{c}{b}\]

Answer 23

how can i attach a graph?

Answer 24

if you simplify the fraction we have you will get one of the answers you mentioned above

you can attach a file using the button below called "Attach File"

Answer 25

you should end up with a non fraction number on top
and a fraction number on bottom

but remember if you have a number over a fraction that is the same as saying
that number times the reciprocal of that bottom fraction

Answer 26

i got -pie/6 then

Answer 27

can you show me how you get that?

Answer 28

you are doing the change of y over the change of x right?

Answer 29

\[\frac{3-0}{\frac{\pi}{2}-0}\]
since you said x=pi/2 corresponds to y=3
and x=0 corresponds to y=0

Answer 30

I found the x and y coordinates that were found on the coresponding graph, and then I put those values into the slope formula

Answer 31

can you do 3-0 and pi/2-0?

Answer 32

that would be 3/pie/2

Answer 33

yikes i got a huge decimal number

Answer 34

the reason I ask is because somehow you got a negative
but there is also another thing wrong with your answer
you are having trouble dividing
\[\frac{a}{\frac{b}{c}}=a \cdot \frac{c}{b}\]

Answer 35

and also pie isn't a number
it is something you eat :p

Answer 36

i got 3/2(pi)

Answer 37

and yeah lol

Answer 38

you aren't going to try to do what I asked ?

Answer 39

\[\frac{a}{\frac{b}{c}}=a \cdot \frac{c}{b} \\ \\ \text{ you have } \\ \frac{3}{\frac{\pi}{2}} =3 \cdot \frac{2}{\pi}\]

Answer 40

ok i did what you asked and i got 3.6366...

Answer 41

well if you leave it in exact form you can easily tell what your answer since your choices are in exact form
that is none of your choices approximate the pi

Answer 42

also you shouldn't be getting 3.6366...

Answer 43

do you know how to multiply 3 and 2?

Answer 44

6/pi?

Answer 45

finally
I knew you knew how to multiply 3 and 2

Answer 46

Thank you that was tough for me

Answer 47

i think you need to work on your division because it seems like that was most troubling for you

Answer 48

I know how to use division, it's just that entire process was confusing me

Answer 49

Can you help me with one more?

Answer 50

in general this is how you divide a integer by a rational:
( that an integer by a fraction)
\[\frac{a}{\frac{b}{c}}=\]
\[\frac{a}{\frac{b}{c}} \cdot \frac{\frac{c}{b}}{\frac{c}{b}}=\frac{a \cdot \frac{c}{b}}{\frac{b}{c} \cdot \frac{c}{b} } =\frac{ a \cdot \frac{c}{b}}{(1)}=a \cdot \frac{c}{b}=\frac{a c}{b}\]

Answer 51

like to do a/(b/c)
you just do a *c/b

Answer 52

yeah that seems to be the best way

Answer 53

that is the only way I know how to divide integers by fractions :p

Answer 54

do you know another way?

Answer 55

anyways I don't there is another way

Answer 56

lol
but what is your other question

Answer 57

What sine function represents an amplitude of 4, a period of , no horizontal shift, and a vertical shift of −3?

Answer 58

this would be best if there was a way that i could attach the answers

Answer 59

well there is

Answer 60

you can attach a file using the button below

Answer 61

i know but how do i transfer the info to a file?

Answer 62

by anyways \[y=A \sin(B(x-C))+D\]
The amp is |A|
horizontal shift is C
Vertical shift is D
The period is 2pi/B

Answer 63

Anyways let's pretend the period is k since we aren't given period
what would that make B in terms of k?
well
\[\frac{2 \pi}{B}=k \]
we would just need to solve this for B
\[2 \pi=k B \text{ After multiplying } B \text{ on both sides } \\ \frac{ 2\pi}{k}=B \text{ after dividing both sides by } k\]
so putting this in so far we have:
\[y=A \sin(B(x-C))+D \\ y=A \sin(\frac{2 \pi}{k}(x-C))+D\]

Answer 64

I think it would be f(x)equals 4sin(pi/2-3)

Answer 65

Now where they say there is no horizontal shift that means C value is?

Answer 66

0?

Answer 67

yes so replace C with 0

Answer 68

so you have so far
\[y=A \sin(B(x-C))+D \\ y=A \sin(\frac{2 \pi}{k}(x-0))+D \text{ or } y=A \sin(\frac{2 \pi}{k}x)+D\]

Answer 69

I think it would be f(x)equals 4sin(pi/2-3)

Answer 70

now D is the vertical shift number
and you are given the vertical shift is -3
so D is ?

Answer 71

\[y=A \sin(B(x-C))+D \\ y=A \sin(\frac{2 \pi}{k}(x-0))+D \text{ or } y=A \sin(\frac{2 \pi}{k}x)+D \\ y=4 \sin(\frac{2 \pi}{k} x)-3 \text{ or it could be } y=-4 \sin(\frac{2 \pi}{k} x)-3\] since you know it didn't say if it has parent function y=sin(x) or if it had y=-sin(x)
like the amp=4 could be mean that result came from |4| or |-4|

Answer 72

anyways either one of those should right given the description above
we still don't know what k was because we were never given the period