Average acceleration: ( v - v o ) / Δ t
v = 0 m/s, v o = 20 m/s, Δ t = 3.5 s
a (average) = ( 0 m/s - 20 m/s )/3.5 s = - 20 m/s / 3.5 s =
= - 5.7142857 m/s² ≈ - 5.71 m/s²
Answer:
It took Jen 4 hours to catch up with Laura
Step-by-step explanation:
Gaining speed 45-30= 15 mph
Laura's head start 30×2=60 miles
Time for Jen to catch up 60÷15= 4 hours
In other words
30(t+2)= 45t
30t+60= 45t
60=45t-30t
60= 15t
t=4 hours
10 is the old value and 3 is the new value. In this case we have a negative change (decrease) of -70 percent because the new value is greater than the old value. The answer is -70 percent.
Answer:
g(x) = (-1/25)x + (203/25)
Step-by-step explanation:
The general equation for a line is slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).
To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".
g(x) = mx + b <----- General equation
g(x) = (-1/25)x + b <----- Plug (-1/25) in "m"
8 = (-1/25)(3) + b <----- Plug in "x" and "y" from point
8 = (-3/25) + b <----- Multiply (1/25) and 3
200/25 = (-3/25) + b <----- Covert 8 to a fraction
203/25 = b <----- Add (3/25) to both sides
Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).
g(x) = (-1/25)x + (203/25)
Answer:
8
Step-by-step explanation:
let the number be n , then
n + 3 = n - 3 ( multiply through by 4 to clear the fraction )
n + 12 = 4n - 12 ( subtract 4n from both sides )
- 3n + 12 = - 12 ( subtract 12 from both sides )
- 3n = - 24 ( divide both sides by - 3 )
n = 8
That is the number is 8
