Answer:
Option C. y = -2x + 3
Step-by-step explanation:
When we look at this function we see that it has a negative slope and the y-intercept is equal to (0,3). From this we know that the function we are looking for will be looking like...
y = mx + 3
And as I said earlier since the slope is negative, the only right option is this case will be Option C
Answer:
The formula to find the voltage is:
![v=\sqrt{P*R}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7BP%2AR%7D)
And the voltage is 4 volts
Step-by-step explanation:
To get the equation of voltage you need to isolate v in one side of the equation. In order to do that, you need to remove the divisor/denominator and its square. How will you do that?
First, multiply both sides with R:
![P*R=\frac{v^{2} }{R} *R](https://tex.z-dn.net/?f=P%2AR%3D%5Cfrac%7Bv%5E%7B2%7D%20%7D%7BR%7D%20%2AR)
That would result into removing the divisor R from the right side of the equation:
![P*R=v^{2}](https://tex.z-dn.net/?f=P%2AR%3Dv%5E%7B2%7D)
Next, square-root both sides:
![\sqrt{P*R} =\sqrt{v^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7BP%2AR%7D%20%3D%5Csqrt%7Bv%5E%7B2%7D%20%7D)
That would result in removing the square of v from the right side of the equation:
![\sqrt{P*R} =v](https://tex.z-dn.net/?f=%5Csqrt%7BP%2AR%7D%20%3Dv)
Thus we get the equation,
.
To find out the voltage, simply replace R with 32 and P with 0.5
![v=\sqrt{0.5*32}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B0.5%2A32%7D)
![r=\sqrt{16}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B16%7D)
![r=4](https://tex.z-dn.net/?f=r%3D4)
Thus, the voltage is 4 volts.
Answer:
y equals three sevenths times x plus 3
Step-by-step explanation:
Given the information:
- points going up from about zero comma negative 3
<=> Let A (x1, y1) = (0, -3)
- to the right to about 7 comma zero
<=> Let B (x2, y2) = (7, 0)
As we know, the line of best fit is a linear equation that represent the data with the standard form:
y = mx + b where:
- m is the slope
- b is the the y-intercept when x = 0
For a line that goes trough the points (x1, y1) and (x2, y2), the slope is
m =
In this situation, we have:
m =
=
=> y =
x + b.
Because the line goes through A (0, 3)
=> 3 =
*0 + b
<=> b =3
=> y =
x + 3
So we choose y equals three sevenths times x plus 3