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3 years ago

The parameters of a linear function are the slope and the y-intercept

Mathematics

1 answer:

taurus [48]3 years ago

3 0

Answer:

see the explanation

Step-by-step explanation:

we know that

A linear function in slope intercept form is equal to

$f(x)=mx+b$

where

m is the slope or unit rate

b is the y-intercept

x is the independent variable or input value

f(x) is the dependent variable or output value

In this problem we have

$f(m)=5+3m$

where

m is the number of miles

f(m) is the cab company's fare in dollars

we have that

In this context

Slope

The slope or unit rate is equal to the cost per mile for the riders trip

The slope is $3 per mile

Y-intercept

The y-intercept is the cost of the riders trip when the number of miles is equal to zero, also is called the initial value.

The y-intercept is $5

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The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is F(r) = GMr R

bagirrra123 [75]

Answer:

Yes the function is continuous.

Step-by-step explanation:

Given

$F(r)=\frac{GMr}{R^{3}}(r< R)$ and $F(r)=\frac{GM}{r^{2}}(r\geq R)$

For a function to be continuous we should have

$\lim_{r\rightarrow R^{-}}F(r)=\lim_{r\rightarrow R^{+}}F(r)$

Thus

$\lim_{r\rightarrow R^{-}}F(r)=\frac{GMR}{R^{3}}=\frac{GM}{R^{2}}$

Similarly we have

$\lim_{r\rightarrow R^{+}}F(r)=\frac{GM}{R^{2}}$

thus we can see that

$\lim_{r\rightarrow R^{-}}F(r)=\lim_{r\rightarrow R^{+}}F(r)$

Hence the function is continuous.

8 0

3 years ago

Rne subtracted 6x3 2x

artcher [175]

F(x) = 3-2x/x that is the answer

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2 years ago

If (n+1)!=90×(n-1)!,find n.

Helen [10]

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3 years ago

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jek_recluse [69]

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