Answer:
All Calendula College students enrolled in the spring.
Step-by-step explanation:
A researcher at Calendula College wishes to estimate the number of units earned by students during the spring semester at Calendula.
To do so, he randomly selects 100 student transcripts from among all Calendula College students enrolled in the spring and records the number of units each student earned in the spring term.
!z!=a→z=a or z=-a; z=4x+3, a=9+2x
!4x+3!=9+2x
1) 4x+3=9+2x
Solving for x:
4x+3-3-2x=9+2x-3-2x
2x=6
2x/2=6/2
x=3
Checking for extraneous solution:
!4x+3!=9+2x
x=3→!4(3)+3!=9+2(3)
!12+3!=9+6
!15!=15
15=15 Ok, then x=3 is not a extraneous solution
2) 4x+3=-(9+2x)
Solving for x:
4x+3=-9-2x
4x+3-3+2x=-9-2x-3+2x
6x=-12
6x/6=-12/6
x=-2
Checking for extraneous solution:
!4x+3!=9+2x
x=-2→!4(-2)+3!=9+2(-2)
!-8+3!=9-4
!-5!=5
5=5 Ok, then x=-2 is not a extraneous solution
Answer:
x = -2 or 3
Note that A of a circle is A = pi*r^2.
Here, we use A = 3.14*r^2.
We are able to solve this for r^2: r^2 = A / 3.14
If A = 1964 square units, then r^2 = (1964 sq units) / 3.14, or about 625 sq units, so that r is about 25 units. This would be the largest possible radius.
f A = 1810 square units, then r^2 = (1810 sq units) / 3.14, or about 576 sq units, so that r is about 24 units. This would be the smallest possible radius.
The radius would be between 24 and 25 units long (answer)
