Answer:
it has one root x=2/5
Step-by-step explanation:
Given
base=2x+6
height=x+4
and
area=56 square units
56=1/2 times (2x+6) times (x+4)
times bot sides by 2
112=(2x+6)(x+4)
expand
112=2x²+14x+24
divide both sides by 2
56=x²+7x+12
minus 56 both sides
0=x²+7x-44
factor
waht 2 numbers mulitply to get -44 and add to get 7
11 and -4
0=(x-4)(x+11)
set to 0
x-4=0
x=4
x+11=0
x=-11
false, measures can't be negative
x=4
height=x+4
height=4+4=8
base=2x+6
base=2(4)+6=8+6=14
x=4 and base=14 and height=8
y=-3 and then x=-1 =-3:-1
W=-3m+205
m=number of months
205= weight at first to start the diet
w=weight
a)
m=0
so;
w=-3(0)+205=205
Answer: Chris weight at the start of the diet 205 pounds
b)
W=-3m+205
The weight lost each month is the number beside "m", in this case is -3 pounds
Answer: Chris lose 3 pounds per month
c)
w=205-45=160
so
160=-3m+205
-3m+205=160
-3m=160-205
-3m=-45
m=-45/-3=15
Answer: 15 months.
