The values of x are 2 and -1.
Solving the equation created by substitution listed in the question:
-2x+14=x²-3x+12
Add 2x to both sides:
-2x+14+2x=x²-3x+12+2x
14=x²-1x+12
Subtract 14 from both sides:
14-14=x²-1x+12-14
0=x²-1x-2
Factoring this, we want factors of -2 that sum to -1; -2(1) = -2 and -2+1=-1:
0=(x-2)(x+1)
Using the zero product property, we know that either x-2=0 or x+1=0:
x-2=0
x-2+2=0+2
x=2
x+1=0
x+1-1=0-1
x=-1
Answer:
10 ft.
Step-by-step explanation:
8.8 ÷ 4= 2.2
22÷2.2= 10
Answer: the answer is 432 per day so in 2 days she/he will have just enough
Step-by-step explanation:
(You forgot to add the question, but I guess you want to know the mass of the turkey for 14 people :p )
By hypothesis, 1 lb = 450g. Adam wants that each of the 14 person, get 3/4 lb. Let x be the mass of 3/4 lb in grams, using the rule of three:
1 lb --> 450g
3/4 lb --> x
x = 3/4 * 450 = 337.5
So 3/4 lb = 337.5 g
Adam wants to cook for 14 people and wants to allow 3/4 lb of turkey for each person, so 337.5 for each.
So to know the total mass of the turkey, you multiply the mass for one person by the total number of people:
337.5 * 14 = 4725
So the mass of the turkey for 14 people is 4725g, or 10.5 lb (3/4 * 14)
Hope this Helps! :)
