Answer:
y intercept is 3 and slope is 4/1
Step-by-step explanation:
Answer:
h(x) = x - 3
Step-by-step explanation:
To find the inverse of a function, you can switch the x and y variables.
In f(x) = x + 3, the y variables is "f(x)".
y = x + 3
Now switch the x and y.
x = y + 3
Isolate for y and replace with h(x).
x - 3 = y
y = x - 3
h(x) = x - 3
Answer:
The function 
is represented by 
.
Step-by-step explanation:
Statement indicates that atmospheric pressure decreases exponentially when height above sea level is increased. This fact is represented by the following model:
(Eq. 1)
Where:
- Atmospheric pressure at sea level, measured in kilopascals.
-Atmospheric pressure decrease rate, dimensionless.
- Height above sea level, measured in kilometers.
- Current pressure, measured in kilopascals.
If we know that 
and 
, the function is represented by:
To solve this problem, let us first assign variables. Let
us say that:
A = runner
B = cyclist
d = distance
v = velocity
time = t
The time in which the cyclist overtakes the runner is the
time wherein the distance of the two is the same, that is:
dA = dB
We know that the formula for calculating distance is:
d = v t
therefore,
vA tA = vB tB
Further, we know that tA = tB + 2, therefore:
vA (tB + 2) = vB tB
4 (tB + 2) = 14 tB
4 tB + 8 = 14 tB
10 tB = 8
tB = 0.8 hours = 48 min
Therefore the cyclist overtakes the runner after 0.8
hours or 48 minutes.
The answer is 4/9 or 0.44444
