Rate of Change:
At 1 mile in 30 seconds.
At 5 miles in 2.5 minutes. 2.5 minutes = 2.5*60 = 150 seconds.
Rate of change = Change in height / Change in time
= (h₂-h₁)/(t₂-t₁)
= (5 -1) /(150 -30) = 4/120 = (1/30) = 0.0333 miles per second.
= (1/30) miles per second or 0.0333 miles per second.
To have the answer in miles per minute.
(1/30) miles per second = (1/30) miles/second.
60 seconds = 1minute
1 second = (1/60) minute.
(1/30) miles/second = (1/30) miles/(1/60)minute
= (1/30) *60 miles / minute
= 2 miles per minute.
Answer:
![y = -\frac{1}{4}x](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B4%7Dx)
Step-by-step explanation:
1. The slope-intercept form of a linear equation is
, where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.
2. To find the slope, let's take the two points (0,0) and (-40,10). After that, let's plug in the values to their corresponding variable in the formula:
3. Since we now know our slope, the equation looks like this so far:
.
4. Because b is the y-intercept, b = 0 because the line intersects the y-axis at (0,0).
5. Now that we have the values of m and b, we plug in them to get the equation of: ![y=-\frac{1}{4}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B4%7Dx)
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (- 4, 0)
m =
=
= 2
What grade are you in today school work is getting to hard
Answer:
2x+9=12x-21
-2. -2
9=10x -21
+21 +21
30=10x
Divide by 10 on both sides
30/10
x=3
Step-by-step explanation: