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4 years ago

Is the function 7y+2x=12 linear or nonlinearhelppp pizzz

1 answer:

7 0

A function is called linear if highest degree of the equation is 1.
Here, degree of x and y is 1 hence it's a linear function.

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Tamara and Jason work at a widget factory. Tamara arrived at work before Jason and began making widgets. Tamara had already made

Mrac [35]

Answer:

See explanation!

Step-by-step explanation:

The remaining question reads:

Part A: Write a system of equations to represent the situation. Let x = hours and y = widgets.

Part B: How much time does it take for Tamara and Jason to produce the same number of widgets?

Part C: How many widgets will Tamara and Jason have produced?

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To solve this problem we can construct an linear algebraic expression for each person, principally denoted as:

$y=ax+c$

where

$y$ :is our dependent variable (which is a function of $x$ )

$x$ :is our independent variable

$a$ :is the slope

$c$ :is the y-intercept constant value (if any present)

Part A: Write a system of equations to represent the situation. Let x = hours and y = widgets.

Tamara

Has already made 20 widgets and produces at a rate of 8 widgets per hour thus here $c=20$ and $a=8$ , so Tamara's equation reads:

$y_{T}=8x+20$

Jason

Has not produced any widgets yet and produces at a rate of 12 widgets per hour thus here $c=0$ and $a=12$ , so Jason's equation reads:

$y_{J}=12x$

So the system of equations will be

$y_{T}=8x+20\\y_{J}=12x$

Part B: How much time does it take for Tamara and Jason to produce the same number of widgets?

Since we want to find the amount of time (i.e. the value of $x$ ) it takes for both of them to produce the same number of widgets we can just equate the two equations ans solve for $x$ as follow:

$y_{T}=y_{J}\\8x+20=12x\\8x-12x=-20\\-4x=-20\\x=\frac{-20}{-4}\\ x=5$

So it takes them 5 hours to produce the same amount of widgets.

Part C: How many widgets will Tamara and Jason have produced?

Now we can simply plug in the value of $x=5$ in any of the two equations (i.e. either for Tamara or Jason) to find the number of widgets produced.

$y_{T}=8(5)+20=40+20=60$

So in a time-space of 5 hours Each will have produced 60 widgets and in total will be 60+60 = 120 widgets.

6 0

3 years ago

WHO EVER THE HELL IS PRIVATE MESSAGING ME PLZ STOP I CANNOT SEE IT AND ITS BOTHER T/F OUTTA ME RN!!!!!!!!!! F YOUUUUU

Irina-Kira [14]

Answer: I'M ON YOUR SIDE....WHOEVER KEEPS MESSAGING THIS PERSON STOPPPPP!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

-HOPE THAT KEEPS EM AWAY

6 0

4 years ago

Read 2 more answers

Please help as soon as possible.Answer correctly while showing detailed working

Sophie [7]

I hope this helps you

6 0

3 years ago

PLEASE HELP URGENT!!!!

Aleks [24]

Answer:

j fingertip was not an easy choice but

6 0

2 years ago

If 8.045 kilometers is about 5 miles, about how many kilometers is 13 miles? Round your answer to the nearest hundredth if neces

Angelina_Jolie [31]

Answer:

20.92 km

Step-by-step explanation:

8.045 km/5 miles = 1.609 km per mils

1.609 x 13 = 20.92 km

3 0

3 years ago