The answer is C, Region A.
Answer:
<u>112 children</u>
<u>180 adults</u>
Step-by-step explanation:
Let the number of adults = A
Let the number of children = C
A + C =292
4A + 1.5C = 888. solve for A, C
A = 292 - C
4[292 - C] + 1.5C = 888
1,168 - 4C + 1.5C = 888
-2.5C = - 280
C = -280 / -2.5
C = 112 - Number of children
292 - 112 = 180 - Number of adults
The given quadratic describes a parabola that opens upward. Its one absolute extreme is a minimum that is found at x = -3/2. The value of the function there is
(-3/2 +3)(-3/2) -1 = -13/4
The one relative extreme is a minimum at
(-1.5, -3.25).
_____
For the parabola described by ax² +bx +c, the vertex (extreme) is found where
x = -b/(2a)
Here, that is x=-3/(2·1) = -3/2.
Answer:
x=
3
/2
Step-by-step explanation:
12(5x−4.5)=36
(12)(5x)+(12)(−4.5)=36(Distribute)
60x+−54=36
60x−54=36
Step 2: Add 54 to both sides.
60x−54+54=36+54
60x=90
Step 3: Divide both sides by 60.
60x
60
=
90
/60
x=
3
/2