Answer:
3 is just 3
Step-by-step explanation:
3x is 3 times a number making it more
Answer:
y = 4(x + 2)^2 - 20.
or in standard form it is
y = 4x^2+ 16x - 4.
Step-by-step explanation:
The equation in vertex form will be:
y = a(x + 2)^2 - 20 where a is some constant.
The y-intercept is (0, -12) so:
-12 = a(0 + 2) - 20
2a = -12 + 20 = 8
a = 4.
when you get this kind of exercise, you find need to find y or x in one of the exactions and fill it in in the other, however in this exercise the two y's are already given so all you need to do is replace the y in one of the exactions with the other exactions like this:
(keep in mind, you need to keep writing both of the exactions over again, otherwise you'll lose an exaction. and we'll need it later on)
y=-2x+6
y=3x-4
y=-2x+6
-2x+6=3x-4
y=-2x+6
-2x-3x=-4-6
y=-2x+6
-5x=-10
y=-2x+6
x= 2
and now replace the x in the first exaction with the x that we found:
y=-2(2)+6
x=2
y=-4+6
x=2
y=2
x=2
Newton's Law of Cooling states that the change
of the temperature of an object is proportional to the difference between its
own temperature and the ambient temperature over time.
Therefore when expressed mathematically, this is equivalent
to:
dT = - k (T – Ts) dt
dT / (T – Ts) = - k dt
Integrating:
ln [(T2– Ts) / (T1– Ts)] = - k (t2 – t1)
Before we plug in the values, let us first convert the
temperatures into absolute values R (rankine) by adding 460.
R = ˚F + 460
T1 = 200 + 460 = 660 R
Ts = 70 + 460 = 530 R
ln [(T2– 530) / (660 – 530)] = - 0.6 (2 - 0)
T2 = 569.16 R
T2 = 109 ºF
Answer: After 2 hours, it will be 109 ºF
Answer:
y-4=3.1(x-1)
or y-1.6=3.1(x-1.4)
Step-by-step explanation:
