Answer:
y = 5/4 x - 7
Step-by-step explanation:
y - y1 = m(x - x1)
y + 2 = 5/4 (x - 4)
y + 2 = 5/4 x - 5
y = 5/4 x - 7
<span>Found a similar problem with the given table.
Elapsed time
(Minutes) 0 10 20 30 40 50 60 70 80 90
Rate
(gallons / minute) 42 40 38 35 35 32 28 20 19 10
Because the interval is every 10 minutes, we will use 10 and multiply it to each rate and get the sum total.
42*10 + 40*10 + 38*10 + 35*10 + 35*10 + 32*10 + 28*10 + 20*10 + 19*10 + 10*10
420 + 400 + 380 + 350 + 350 + 320 + 280 + 200 + 190 + 100
2,990
There will be a total of 2,990 gallons in the tank after 90 minutes. </span>
Answer:

Step-by-step explanation:
The formula for the slope with two points given would be

Substitute

We have been given that the inverse variation
shows the relationship between wavelength in meters, x, and frequency, y. We are asked to find the wavelength for radio waves with frequency
.
To find the required wavelength, we substitute
in our given equation and solve for x as:


We can see that both numerator and denominator has 3, so we can cancel it out.

Using quotient rule of exponents
, we will get:


Therefore, the wavelength for radio waves would be
meters and option B is the correct choice.
Its neither 2/8 is 1/4 simplified, therefore 2/8 is = 1/4
Hope this helped!