Mathematics
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OpenStudy (lena772):
I calculated the y-intercept but idk what it tells me
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OpenStudy (lena772):
hartnn (hartnn):
your y-intercept means when x= 0
here, x represents time
time = 0 means initially
so, y-intercept gives you INITIAL VELOCITY of the car
hartnn (hartnn):
that is the velocity with which the car started
hartnn (hartnn):
so the car started with 50miles/hr
OpenStudy (lena772):
Thank you! for the next one the equation is f(b)-f(a)/b-a?
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hartnn (hartnn):
yes, that formula is correct
OpenStudy (lena772):
so i don't have a function here what do i do
hartnn (hartnn):
y = f(x)
its like,
f(b) means 'y' value at b
hartnn (hartnn):
so f(3) means y value or velocity at x= 3 hrs
hartnn (hartnn):
you got what i am trying to explain ?
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OpenStudy (lena772):
f(3)-f(1)/3-1
hartnn (hartnn):
yes, and what are f(3) and f(1) ?
OpenStudy (lena772):
that's what idk :( ik you explained but i still dont know what to do
hartnn (hartnn):
we take f(x) as 'y'
so, f(3) means y value when x = 3
which = ... ?
hartnn (hartnn):
see the table, what is y when x= 3 ?
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OpenStudy (lena772):
oh it's 56
OpenStudy (lena772):
56-52/3-1
OpenStudy (lena772):
4/2
2
hartnn (hartnn):
yes
hartnn (hartnn):
correct and you know what it represents ?
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OpenStudy (lena772):
2 miles per hour
OpenStudy (lena772):
The car increases it's speed by 2 miles per hour after every hour.
OpenStudy (lena772):
@hartnn
hartnn (hartnn):
yes,
that means the rate of change of velocity is 2 miles/hour^2 which is actually the ACCELERATION of the car
hartnn (hartnn):
so, average rate of velocity represents the accelration
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OpenStudy (lena772):
domain would be 4 right for C?
hartnn (hartnn):
when x = 4, is y = 60 ?
and domain is the set of values, not just 1 value
OpenStudy (lena772):
ohsorry :/
OpenStudy (lena772):
when x=4 y=58, when x=5 y=60
OpenStudy (lena772):
[50<x<60]?
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hartnn (hartnn):
yes, so x is 5 when y is 60
and domain is the set of "x" values
(set of y values is actually the RANGE)
so here, your domain will be
x = 0 to 5
OpenStudy (lena772):
but dont you have to say [0<x<5]
hartnn (hartnn):
thats just a way to represent(interval notation), you can represent it in may ways
OpenStudy (lena772):
sorry if i'm being anoying
hartnn (hartnn):
and thats not correct
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hartnn (hartnn):
i mean not accurate
OpenStudy (lena772):
annoying*
OpenStudy (lena772):
ok so I just put domain: 0 to 5
OpenStudy (lena772):
The domain would be integers from 0 to 5.
hartnn (hartnn):
\(0 \le 0 \le 5\)
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hartnn (hartnn):
i mean
0 <= x <= 5
hartnn (hartnn):
my point was just that u missed the "="
as x can actually take the values, 0 and 5
OpenStudy (lena772):
oh but i thought [] those represented could be equal
hartnn (hartnn):
thats another notation
hartnn (hartnn):
\([0,5]\)
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hartnn (hartnn):
\(0\le x \le 5 \\ [0,5]\)
both are same