Log_3(x(x + 24) = 4
log_3(x^2 + 24x) = 4
3^4 = (x^2 + 24x)
81 = x^2 + 24x
x^2 + 24x - 81 = 0
Continue from here.
Answer:
53.3324
Step-by-step explanation:
given that a thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 40° F.
By Newton law of cooling we have
T(t) = 
where T (t) is temperature at time t,T =surrounding temperature = 40, T0 =70 = initial temperature
After half minute thermometer reads 60° F. Using this we can find k
So equation is
When t=1,
we get
Answer:
7
Step-by-step explanation:
If A is 7 units away from the x-axis then the x-axis is seven units away from A.
That's if I read the question right.
Answer:
Your answer would be 8 and 5 because you are just moving the point over the y axis from -8 and 5 to 8 and 5.
Step-by-step explanation:
<span> Direct-substituting x = -2 gives 0/0, so we know that by the factor theorem, both the numerator and denominator have a factor of x + 2. From there, we can cancel out the conflicting factors and apply the limit.
We can factor the numerator and denominator to get:
x^3 - x^2 - x + 10 = (x + 2)(x^2 - 3x + 5)
x^2 + 3x + 2 = (x + 2)(x + 1).
So we have:
lim (x-->-2) (x^3 - x^2 - x + 10)/(x^2 + 3x + 2)
= lim (x-->-2) [(x + 2)(x^2 - 3x + 5)]/[(x + 2)(x + 1)]
= lim (x-->-2) (x^2 - 3x + 5)/(x + 1), by canceling out x + 2
= [2^2 - 3(-2) + 5]/(-2 + 1)
= (4 + 6 + 5)/(-1)
= -15.
I hope this helps! </span>
