Answer:
The value of y when x equals 19 in 2x-5y = -28 is y = -2
<u>Solution:</u>
Given that the expression is 2x-5y = -28
We have to find the value of y when x equals 18
Substituting x = -19 in the above equation,
2(-19) – 5y = -28
On solving the terms inside the bracket, by multiplying 2 with -19 we get -38
-38-5y=-28
Cancelling the negative sign on both sides, we get
38+5y= 28
5y = -10
On dividing -10 by 5 we get -2.
y= -2
Hence the value of y when x equals 19 in 2x-5y = -28 is y = -2
A function behaving as you state is a linear function, which means that the output varies directly with the input.
So, there exists some constant
such that your function is in the form
![f(x) = kx](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20kx%20)
In fact, if you double the input, you have
![f(2x) = k\cdot(2x) = 2\cdot (kx) = 2f(x)](https://tex.z-dn.net/?f=%20f%282x%29%20%3D%20k%5Ccdot%282x%29%20%3D%202%5Ccdot%20%28kx%29%20%3D%202f%28x%29%20)
And similarly
![f(3x) = k\cdot(3x) = 3\cdot (kx) = 3f(x)](https://tex.z-dn.net/?f=%20f%283x%29%20%3D%20k%5Ccdot%283x%29%20%3D%203%5Ccdot%20%28kx%29%20%3D%203f%28x%29%20)
Note that this is a guess, it may happen that output doubles (triples) if you double (triple) the input, and still the function is not like
.
For example, the function
![f(x) = \dfrac{x^3}{3} - 2x^2 + \dfrac{14}{3}x -2](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20%5Cdfrac%7Bx%5E3%7D%7B3%7D%20-%202x%5E2%20%2B%20%5Cdfrac%7B14%7D%7B3%7Dx%20-2%20)
is such that
![f(1) = 1,\ f(2) = 2,\ f(3) = 3](https://tex.z-dn.net/?f=%20f%281%29%20%3D%201%2C%5C%20f%282%29%20%3D%202%2C%5C%20f%283%29%20%3D%203%20)
So, it may seems that doubling and tripling the input doubles and triples the output, but this is not true for every input, for example,
![f(2) = 2,\ f(4) = 6](https://tex.z-dn.net/?f=%20f%282%29%20%3D%202%2C%5C%20f%284%29%20%3D%206%20)
And so doubling the input didn't double the output.
y - y₁ = m(x - x₁)
y - (-4) = 1(x - (-1))
y + 4 = 1(x + 1)
y + 4 = 1(x) + 1(1)
y + 4 = -x + 1
<u> - 4 - 4</u>
y = -x - 3
1/5 is your answer
Happy to assist you with you math!
Answer:
I am truly sorry if any of these answers are incorrect, I am here to help and I will do my best!
Step-by-step explanation:
A clock that uses hands to tell time is less precise than a clock that uses numbers.
A signal stored on a vinyl record is less easily copied than a signal stored in a computer.
A signal that is continuously varying is less reliable than a signal with limited possible values.
A signal transmitted by the human voice loses more energy as it travels than a signal transmitted by a fiberoptic cable.
Hope this helps! :)
If so, Brainliest would be nice... But it is ok if not :)