Answer:
If you want it solved to exact form which im assuming you do the answer is x= -3/2
But if you want decimal form it is x= -1.5 and the mixed number form is x= -1 1/2
Tip for the future if you have questions like this use Math-way its a website. Its an algebra calculator and it works wonders. :)
Step-by-step explanation:
Answer:
8.03 or 8.035714 and some other numbers that i cant bother to write out. also as a fraction it would be 803/100
Step-by-step explanation:
g(x)= -16x² + 72x + 80
Plug 2 in to check if it's correct.
g(2)= -16(2)² + 72(2) + 80
-16(4)+128+80
-72+128+80
= 136
Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
