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Natasha_Volkova [10]
3 years ago
6

Identify as a direct variation, inverse variation or neither. y = 6x

Mathematics
2 answers:
kramer3 years ago
7 0

Answer:

y=6x is a direct variation.

Step-by-step explanation:

In direct variation the relation between two variable is direct. It means y varies directly as x.

y\propto x

y=kx

Where, k is constant of proportionality.

In inverse variation the relation between two variable is inversely proportional. It means y varies inversely as x.

y\propto \frac{1}{x}

y=k \frac{1}{x}

Where, k is constant of proportionality.

The given function is

y=6x

It is direct variation because y varies directly as x and constant of proportionality is 6.

Therefore, y=6x is a direct variation.

Naddika [18.5K]3 years ago
5 0
This Is Direct Variation Because Y Always Varies Directly With X. It
Is Always 6 Times As Large As X.
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Mary throws her Grandma’s favorite crystal dish out the second floor window, which is 6 meters from the ground. She is really up
wlad13 [49]

we know that

acceleration due to gravity is 9.8m/s^2

so, we get

a(t)=9.8

and acceleration will always be constant

we know that

integral of acceleration is velocity

so, we can integrate both sides

\int \:a\left(t\right)dt=\int \:9.8dt

v(t)=9.8t+C

we are given

v(0)=35m/s

we can use it and find C

v(0)=9.8*0+C

35=9.8*0+C

C=35

now, we can plug it back

v(t)=9.8t+35

we know that

integral of velocity is height

we can integrate it again

\int \:v\left(t\right)dt=\int \:\left(9.8t+35\right)dt

s(t)=\int \:\left(9.8t+35\right)dt

s(t)=4.9t^2+35t+C

now, we have

s(0)=6

we can use it and find C

s(0)=4.9(0)^2+35(0)+C

6=4.9(0)^2+35(0)+C

now, we can plug back C

C=6

and we get

s(t)=4.9t^2+35t+6.............Answer

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3 years ago
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Ira Lisetskai [31]

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Step-by-step explanation:

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