Answer:
t = (p - 1/2)/3
Step-by-step explanation:
p = 4t + 1/2 - t
combine like terms:
p = 3t + 1/2
subtract 1/2 from each side of the equation:
3t = p - 1/2
divide both sides by 3:
t = (p - 1/2)/3
Answer:
<u>Frequency = 1/period =
</u>
Step-by-step explanation:
The frequency of the sinusoidal function = 1/period
Frequency is how many the function repeats itself per unit if time i.e: per "1"
For the given graph :
, Where: B = 2π/period
period = 2π/B , B = 1/4 = 0.25
∴ Period = 2π/0.25 = 8π
∴ Frequency = 1/period = 
Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is
. In particular, the value we are looking for is
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get 
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to
.
N = number of hours.
$5 per hour, total = 5*n = $5n
Since $35 has been saved.
The amount saved plus the amount got from baby sitting should be greater or equal to the $90 cost.
5n + 35 ≥ 90
5n ≥ 90 -35
5n ≥ 55
n ≥ 55/5
n ≥ 11
So Rodney should baby sit for at least 11 hours, that is 11 and above.
Answer: y = −
2
x + 8
Step-by-step explanation:
Use the slope formula and slope-intercept form y
=
m
x
+
b to find the equation.
y = −
2
x + 8
I hope this help.