Answer:
positive 3
Step-by-step explanation:
Answer:
x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.
Step-by-step explanation:
f(x) = −x² + 50x − 264
−x² + 50x − 264 = 0
-x² + 44x + 6x - 264 = 0
-x(x - 44) + 6(x - 44) = 0
(x - 44)(-x + 6) = 0
x = 6, 44
Y=1 1/4(1.25)x +9, add 8x to each side and then divide each side by 6
14/21 is 2/3 simplified.
9/15 is 3/5 simplified.
and 3/8 can not be simplified, so it's 3/8
Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05<em>n</em> + 0.10<em>d</em> = 1.50
==> 5<em>n</em> + 10<em>d</em> = 150
Multiply both sides of the first equation by -5:
<em>n</em> + <em>d</em> = 21
==> -5<em>n</em> - 5<em>d</em> = -105
Add the two equations together:
(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)
Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :
(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105
5<em>d</em> = 45
<em>d</em> = 45/5 = 9
Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:
<em>n</em> + 9 = 21
<em>n</em> = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
