Answer:
1) 48p^2+4p-4
2)40b^2-45b+5
3)3p^2-6p+3
4)3v^2-6v+3
5)40x^2+28x+24
6)3x^2+15x+12
Step-by-step explanation:
Answer:
y
=
15.96871942
…
,
−
15.96871942
…
Step-by-step explanation:
Answer:
south
Step-by-step explanation:
it’s half way turn because 180 is half of one 360 and north is right across from south:)
Answer:
Step-by-step explanation:
Represent the length of one side of the base be s and the height by h. Then the volume of the box is V = s^2*h; this is to be maximized.
The constraints are as follows: 2s + h = 114 in. Solving for h, we get 114 - 2s = h.
Substituting 114 - 2s for h in the volume formula, we obtain:
V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)
This is to be maximized. To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:
dV
----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2
ds
Simplifying this, we get dV/ds = -4s^2 + 114s = 0. Then either s = 28.5 or s = 0.
Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in
and the volume is V = s^2(h) = 46,298.25 in^3
Answer:
Step-by-step explanation:
hello :
put x = -5 in this equation : a(4-x) =-3x + b
a(4+5) =15 + b
9a = 15 +b
b = 9a - 15
the values of a and b is all order pair : ( a ; 9a-15) a real number
