anonymous
  • anonymous
For each function find f(-2), f(-0.5), and f(3) Are these correct 8. F(x)= 3/8x -3 1. F= -8 2. F= 4.6 3. F=2.3
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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DanJS
  • DanJS
f(x) = (3/8) * x - 3 or is that x supposed to be part of that denominator
DanJS
  • DanJS
group the thing with bra-kets for fractions , not sure how you got -8 for the first f(-2), replace x with -2, evaluate for what f(x)=
anonymous
  • anonymous
I'm sorry I don't understand ): can you show me how to do the first one and I'll do the other two

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DanJS
  • DanJS
yes, did i type it in right, the x is multiplied by 3/8 right, it is not 3/(8x) is it
anonymous
  • anonymous
Correct (: it is multiplied by 3/8
DanJS
  • DanJS
f(-2) is the value of f(x) when x=-2, let x=-2, substitute -2 in for all x's f(-2) = (3/8) *(-2) - 3 = -6/8 - 3
DanJS
  • DanJS
negative six eights minus 3, then simplify more, let 3 become 24/8, to have same denominator , so we can combine fractions
DanJS
  • DanJS
-(6/8) - (24/8) = -30/8
DanJS
  • DanJS
you can reduce that to -15/4 f(-2) = -15/4
DanJS
  • DanJS
----- if x=3 like the last one to figure f(3) you get (9/8) - 3 simplify
anonymous
  • anonymous
Do I do anything with the -2?
DanJS
  • DanJS
no, -2 is just the x value, f(-2) is the y value for a point on the graph of the function
anonymous
  • anonymous
My problem is multiplying with fractions
DanJS
  • DanJS
the function f(x) takes any x value you pick along the horizontal x axis, and gives it a y value, it is a rule machine to go from a chosen x value to a corresponding y value
DanJS
  • DanJS
\[\frac{ a }{ b } * \frac{ c }{ d }=\frac{ a*c }{ b*d }\] you just multiply top and bottom seperate like that
DanJS
  • DanJS
so for 9/8 times -2, you can think of -2 as -2/1
DanJS
  • DanJS
the negative 2 multiplies into the numerator
anonymous
  • anonymous
Oh okay that makes sense (: okay one sec I'm gonna do the problems let me know if they are right (:
DanJS
  • DanJS
to be able to add the fractions, i had to make them both over the same denominator. i multiplied -3 by 8/8 ,
anonymous
  • anonymous
So I got f(-0.5)= 2.6
DanJS
  • DanJS
let's see what you did . they are mixing decimals and fractions, it is messy you can keep x as -0.5 or make it -1/2
DanJS
  • DanJS
f(-0.5) = (-1.5)/8 - 3
DanJS
  • DanJS
can you do the arithmetic with a calculator? for class
anonymous
  • anonymous
I did 3/8 multiplied by -1/2 instead of -0.5 then I got -3/16 -3 then I put a 1 under the 3 to make it -3/16 - 3/1 and I got -6/16
anonymous
  • anonymous
Is it -3/8
DanJS
  • DanJS
you were on the right traack, remember to add or subtract fractions, they have to be both over the same denominator -3/16 - 3*(16/16)
anonymous
  • anonymous
I don't understand that part ☹
DanJS
  • DanJS
you got the multiplying fractions down, multiply top and bottom together individually addition and subtraction requires the same denominator first
DanJS
  • DanJS
you can add 16ths to 16ths, but you cant add 16ths to 87ths without changing things, the bottom has to be the same
DanJS
  • DanJS
\[\frac{ a }{ c } + \frac{ b }{ c } = \frac{ (a+b) }{ c }\]
anonymous
  • anonymous
Can we start over Okay so the problem is f(x) = 3/8 (-0.5)-3 F(-0.5) = 3/8 times -0.5 Then what?
DanJS
  • DanJS
we can keep the -1/2 you used, you did that part right (-3/16) - 3 from here you have to put the whole number 3 into 16ths, need same denominator to combine fractions
anonymous
  • anonymous
Would you be fine doing this with me through snapchat so I can show you what I did
DanJS
  • DanJS
i dont have that
DanJS
  • DanJS
multiply the 3 by (16/16) 16/16 is just 1, you are only multiplying by 1, it doesnt change anything
DanJS
  • DanJS
it becomes 48/16 which is the same as 3
anonymous
  • anonymous
So -3/16 -3 times 16/16?
DanJS
  • DanJS
yep.. review "common denominators" if you forgot about that ... then you can combine fractions, -3/16 - 48/16
DanJS
  • DanJS
-51/16 or you can approximate with decimals since x is a decimal
anonymous
  • anonymous
Answer : f(-0.5)= -9
anonymous
  • anonymous
Oh nevermind you add not multiply woods
anonymous
  • anonymous
-3.18 is the answer??
DanJS
  • DanJS
-51/16, is that what the calculator says.. looks right
DanJS
  • DanJS
-3.1875
DanJS
  • DanJS
Go for the last one, ill check it at the end, nothing new just a different x value
anonymous
  • anonymous
Thank you!!!!Can you help me with the last one?
anonymous
  • anonymous
Ok so f(3) = 3/8 (3)-3 correct?
anonymous
  • anonymous
6/8 -3?
anonymous
  • anonymous
Is this the answer?? F(3) = 3.75
anonymous
  • anonymous
@DanJS
DanJS
  • DanJS
sorry missed this notification, if x is 3 \[f(3) = \frac{ 3 }{ 8 }*3 - 3 ~~~~ =~~~~\frac{ 9 }{ 8 } - \frac{ 24 }{ 8 } \]
DanJS
  • DanJS
= (9-24) /8 = -15/8
DanJS
  • DanJS
you just need to practice adding vs multiplying fractions, this time you added the numerators in the (3/8)*3
anonymous
  • anonymous
Oh okay thank you so so much!!! Your awesome (:
DanJS
  • DanJS
remember the rules, i think i typed them with the a,b,c,d, general fractions somewhere here
anonymous
  • anonymous
Would you mind helping me with a new problem?
anonymous
  • anonymous
And I will thank you(:
DanJS
  • DanJS
ok
anonymous
  • anonymous
It's fine I'm going to bed thank you for your help! (:
DanJS
  • DanJS
ok, welcome, i may be on tomorrow also if you are working

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