Y=(1/2)x^2 + 2x - 1
3x - y = 1, or y=3x-1
substitute
3x-1=(1/2)x^2+2x-1
0=(1/2)x^2-x
0=x(0.5x-1)
x=0,2
y=2+4-1=5
3(2)-1=5.
When x=2 y=5 (2,5) is one solution
when x=0, y=-1, (0,-1) is the other solution
Width of the rectangle =
Length of the rectangle =
Solution:
Area of the rectangle =
Width of the rectangle = greatest common factor of
Factor of =
Factor of =
Factor of =
Greatest common factor of
=
Width of the rectangle
Area of the rectangle = length × width
Divide by 5k² on both sides.
Cancel the common factor 5k², we get
Switch the sides.
Length =
Width of the rectangle =
Length of the rectangle =
The total amount owed after 6 months will be found using the formula:
FV=P(1+r/100*n)^n
P=principle=$10000
r=rate=18%
n=terms=0.5
FV=10000(1+18/2*100)^0.5
FV=$10,440.30651
Thus the amount owed will be $10440.30651
Answer:
454
Step-by-step explanation:
set up a system of equation
let y be the number of students
let x be the number of adults
because there are twice the amount of students attended as adults, we can use y=2x as one equation
the other equation will be 6.5y+9x=4972 because this represents the total amount of money
plug 2x for y : 6.5(2x)+9x=4972 : x=226
plug 226 in for the first equation : y=2(226) : y=452
Step-by-step explanation:
33+22+90=145
180-145=35
x=180-35
<u>x=</u><u>1</u><u>4</u><u>5</u>