A) You want to find t such that
.. C(t) = d
.. d = 20 +60*0.95^t
.. (d -20)/60 = 0.95^t
.. log((d -20)/60) = t*log(0.95)
.. t = log((d -20)/60)/log(0.95) . . . . . . time to cool to d degrees (d > 20)
b) C'(t) = 60*0.95^t*ln(0.95)
.. C'(1) = 60*0.95*ln(0.95) ≈ -2.924 °C/min
Answer: g(x) = 2(x + 3) + 1
Step-by-step explanation:
When we have an horizontal translation of A units (A is a positive real number) to the right, we write this as:
g(x) = f(x - A)
If the translation is to the left, then we have:
g(x) = f(x + A).
In this case, we have a translation to the left, and A = 3, then:
g(x) = f(x + 3)
And we know that:
f(x) = 2x + 1
g(x) = f(x + 3) = 2*(x + 3) + 1 = 2x + 6 + 1 = 2x + 7
g(x) = 2x + 7
Answer:
If it only moves 8 units up then you'll end up at (-5, 4). Your x value or position remains same for it didn't move right nor left.
