V (Volume) = s^2 * h = 48 ------> h = 48s^-2
C (Cost) = (4sh)(2) + (2s^2)(1) = 2s^2 + 8sh = 2s^2 + 8s(48s^-2) = 2s^2 + 384s^-1
dC/ds = 4s - 384s^-2 = 0 ------> 4s(1 - 96s^-3) = 0
Since s can't be 0, the only possible solution is:
1 - 96s^-3 = 0
s^3 - 96 = 0
s = cube root(96) = 2 cube root(12) ~ 4.579 cm
s^2 = 4 + 2 cube root(18) = 2[2 + cube root(18)]
h = 48/s^2 = 24/[2 + cube root(18)] ~ 5.194 cm
Answer:there were 23 birds and 4 cats
Step-by-step explanation:
Let x represent the number of birds at the shelter on Thursday.
Let y represent the number of cats at the shelter on Thursday.
Maya found a record showing that there were a total of 27 birds and cats on Thursday. This means that
x + y = 27
An animal shelter spends $2.00 per day to care for each bird and $6.00 per day to care for each cat. Maya noticed that the shelter spent $70.00 caring for birds and cats on Thursday. This means that
2x + 6y = 70 - - - - - - - - - - - - - - 1
Substituting x = 27 - y into equation 1, it becomes
2(27 - y) + 6y = 70
54 - 2y + 6y = 70
- 2y + 6y = 70 - 54
4y = 16
y = 16/4
y = 4
x = 27 - y = 27 - 4
x = 23
What you must do in this case is to find the roots of the polynomial.
We have then:
x ^ 2 + 20x + 100 = 36
Rewriting:
x ^ 2 + 20x + 64 = 0
The values of the roots are:
x1 = -4
x2 = -16
Remember that the values of the roots are what make the polinome zero
Answer:
x1 = -4
x2 = -16
&0 bc it makes the most sence
Answer: I got u
Step-by-step explanation:
