Question

i don't really understand how to solve this problem can somebody help me pwease

Amelia is planning the trajectory of her next flight using the altitude and distance from Paris, France. She has determined her function to be f(x) = -4x + 102.

Based on the situation above, describe any necessary restrictions to the domain and range. Provide justification for the restrictions.

Answer 1

find the x

Answer 2

ok and how do you do that like can you show me the steps

Answer 3

Im still not reallyunderstanding it

Answer 4

wait one min

Answer 5

ok

Answer 6

ok but i dont think its answering this question Based on the situation above, describe any necessary restrictions to the domain and range. Provide justification for the restrictions

Answer 7

do you want to graph it or write it as a function(equation) which means solving fro x to complete any restrictions

Answer 8

write it as a function

Answer 9

not necessarily a fraction this can kind of be confusing it is better to solve for x not using fractions

Answer 10

so are we going to use a fraction then?

Answer 11

no fractions are confusing we will solve for x first then solve the function

Answer 12

oh ok

Answer 13

first i will give you the answer and see if you know how i got it and explain it to you

Answer 14

abdela25

Answer 15

ok

Answer 16

the answer is x=51/2
do you know how i got that?

Answer 17

hold on im tryin to figure it out now

Answer 18

okay take your time

Answer 19

how did you get the answer????

Answer 20

ok first i isolated the terms with 4x to the left hand side by subtracting 102 from each side
so it will look like this:
-(4x) + (102-102) = -102

Answer 21

do you understand what i did here

Answer 22

I dont

Answer 23

me either

Answer 24

okay well i had to isolate terms with 4x to the left so i subtracted 102 from each side

Answer 25

@thatgirl;] @prettigirlrock0804

Answer 26

ohh ok now i understand

Answer 27

102-102 = 0 so this is nothing
-4x - 102 is not possible becuase 4 has a variable - X
so it will look like this: -4x=-102 (102 is negative becuase it went on the other side)
do you guys understand?

Answer 28

yes

Answer 29

@abdela25 I understand that but does it solve the question

Answer 30

yeah of course it does we have to solve for x first when we have x we replace x in the question by what ever the answer is

Answer 31

then easy multiplication from there

Answer 32

so we have right now -4x=-102 right

Answer 33

yeah

Answer 34

when you divde you get -25.5

Answer 35

so we have to put X by itself since it is multiplied with the 4 we have to divide 4 from each side

Answer 36

and you get -25.5

Answer 37

no -4/-4 = 1x and -102/-4 is canceled out

Answer 38

you would get -25.5 if there was only one negative number but both number are negative -102/-4
both negative signs cancel out each other so it is left at 102/4 (both positive now)

Answer 39

do you understand or should i go back

Answer 40

ok so you would divde 102/4 right

Answer 41

not divide but reduce it

Answer 42

102/4 can be simplified still

Answer 43

you reduce by finding the GCD of both numbers

Answer 44

ohh ok so it would be 51/2

Answer 45

yes thats the answer! thats what i got in the beginning before explaining

Answer 46

so X=51/2

Answer 47

oh ok i finally got it thank you so muchh:) do you think you can help me with one more question

Answer 48

welcomes!
and yeah i think i got some more time whats the question?

Answer 49

Neveah has created the function f(x) = the quantity of 2x plus 4, divided by 3 to represent the growth of her hair, where x represents the number of months since her last hair cut. Neveah discovers that using the inverse function to solve for x = 6, she can predict when her hair will have grown 6 inches. Explain to Neveah how to accomplish this, using complete sentences.

Answer 50

ok so this problem wants to use words and not an equation
right?

Answer 51

right

Answer 52

okay something went wrong Either you typed it wrong, or the textbook got it wrong. By solving for x=6, she'll end up figuring out how long her hair will be in six months, not the time her hair reaches six inches. You meant to say, "solve for f(x) = 6." :)

Answer 53

cuz the way you said typed it there is no possible answer to it it must be f(x) = 6 which is simple algebra and wil be done in 2 minutes or less

Answer 54

to figure out how long her hair will grow in 6 months rather than 6 in

Answer 55

you even said it yourself "x represents the number of months since her last hair cut...x = 6" this clearly means 6 months and not 6 in in how ever many months cuz they tell us 6 months already theyre asking fro f(x)=6

Answer 56

are you with me?

Answer 57

?????

Answer 58

if i am correct here is the answer:
simple algebra. (2x+4)/3 = 6. Solve for x. That's an Algebra 1 problem, easy. Converting it to complete sentences is left as an exercise to the reader. ;)
any confusion ???

Answer 59

yes im still with you

Answer 60

okay welll do you get it now

Answer 61

the question was printed out wrong or typed wrong cuz there was no possible answer to the way you typed it but my way which is removing 6 in and keeping it 6 months gives you the answer of simple algebra. (2x+4)/3 = 6. Solve for x which is very simple
Converting it to complete sentences is left as an exercise to the reader

Answer 62

ok so like do you multiply 6 and 3 and idk about the question i mean that is what its askin me to do

Answer 63

yeah its a typo small little thing i did the same thing

Answer 64

(2x+4)/3 = 6 solve for X

Answer 65

ok so this is what i got 2x+4=18
2x=14
x=7 is that right

Answer 66

yep x=7 is the correct answer

Answer 67

ok thank you for all your help most appreciated:)

Answer 68

your welcome! any more questions?