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Lena [83]
3 years ago
5

Attachment Mathswatch!!

Mathematics
1 answer:
Travka [436]3 years ago
7 0

Answer:

y=x-1

Step-by-step explanation:

Gradient=1

Rise/run=1/1=1

y=x+c

y intercept=-1

y=x-1

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Leyla drops a penny from a height of 150 m. How long will it take the penny to hit the ground? Use the formula h(t)=−4.9t^2+vt+h
torisob [31]
To determine the time it  takes for the penny to reach the ground, we use the relation of height and time given above. We do  as follows:
<span>
0 =−4.9t^2+(0)t+150
t = sqrt( 150/4.9)
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Step-by-step explanation:

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Domain and Range for the function f(x)=5IXI is
shutvik [7]

Answer:

The domain of the function f(x) is:

\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

The range of the function f(x) is:

\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

Step-by-step explanation:

Given the function

f\left(x\right)=5\left|x\right|

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

  • Domain refers to all the possible sets of input values on the x-axis.

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

  • Range refers to all the possible sets of output values on the y-axis.

We know that the range of an Absolute function is of the form

c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k

k=0

so

Thus, the range of the function f(x) is:

\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

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3 years ago
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snow_tiger [21]

Answer:

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Step-by-step explanation:

See attached image.

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