Answer:
d
Step-by-step explanation:
Answer:
3 or
C
Step-by-step explanation:
(45 - 3x)^1/2 = x - 9 Square both sides
45 - 3x = x^2 - 18x + 81 Switch sides
x^2 - 18x + 81 = 45 - 3x Add 3x to both sides
x^2 - 15x + 81 = 45 Subtract 45 from both sides
x^2 - 15x + 36 = 0 Factor
(x - 12)(x - 3) =0
The answers are
x = 12
x = 3
Now the question asks which is extraneous. The answer will be which ever number won't solve the original equation. Looking at it right now, both look OK.
(45 - 3*12)^1/2 = 12 - 9
(45 - 36)^1/2 = 3
(9)^1/2 = 3
So 12 is a proper solution.
What about 3?
(45 - 3*3)^1/2 = 12 - 3
(45 - 9)^1/2 = 9
36^1/2 = 9
6 does not = 9
The extraneous solution is x = 3
A folder costs 1.15 more than a pen, so a pen is x, folder is x+1.15
COST = 6x + 3(x + 1.15)
An equation for this problem is
Cost = number of pens(x) + number of folders (x + 1.15)
Answer:
686.94
Step-by-step explanation:
first year, 42 interest
second year, 44.94 interest
Total=686.94
Answer:
20.8 inches squared
Step-by-step explanation:
Area of spinner:
45.1 is the area of sectors where the token doesn't move, which 5 sectors doesn't move the token (don't forget that the bonus points doesn't move token). Then
45.1/5=9.02
9.02*12=108.24
K=1/2(r^2)sin150
108.24=1/2(r^2)sin150
216.48=(r^2)1/2
432.96=r^2
r=20.8