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zysi [14]
3 years ago
13

PLEASE HELP!!!! I HAVE YOU ALL MY POINTS AND AM ON TIMED ASSESMENT!!!!!! I WILL NAME YOU BRAINLIEST AND SUGGEST TO ALL MY FRIEND

S TO SAY THANKS AND SAY YOU WERE BRANLIEST!!!!
The amount Lin’s sister earns at her part-time job is proportional to the number of hours she works. She earns $9.60 per hour. Express fractions in the form a/b if necessary.


a. Complete the equation in the form y=kx to describe this situation, where x represents the hours she works and y represents the dollars she earns.



y =
x



b. Is y a function of x? Type yes or no.




c. Complete the equation describing x as a function of y.



x =
y
Mathematics
1 answer:
lesantik [10]3 years ago
6 0

y is a function of x, because for each input x there is only one output y. (It doesn't work backwards. x is not a function of y. not sure if you needed that but there it is!)

The equation would be

y=9.60x

where y is the amount Lin's sister earns and x is the amount of hours she works

i think this is correct pls mark brainliest

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Answer:

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Step-by-step explanation:

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\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.

From the last equation:

y=-6

Substitute it into the second equation:

16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3

Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

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