One scarf=s
One hat=h
2s+h=13
s+2h=14
h=13-2s
(plug that into the other equation)
s+2(13-2s)=14
s+26-4s=14
26-3s=14
-3s=-12
s=4
One hat=$5
One scarf=$4
5+4=9
Price of one hat AND one scarf is $9
Answer:
is equal to 8 1/27
Step-by-step explanation:
(2
1
3
)(3
4
9
)
=
7
3
(3
4
9
)
=
7
3
(
31
9
)
=
217
27
=8
1
27
Her work is incorrect because she accidentally changed -14 to -7 in the second step.
Working it out from the top we get
(x-14)+11=x-(x-4)
x-14+11=x-x+4
x-3=0+4
Final answer:
x=7
Hope I helped :)
Answer:

Step-by-step explanation:
The standard form of a quadratic is:

To complete the square, the a (leading coefficient) must be 1 and there can only be terms with variables on one side.
The expression given:

follows these rules. Next, we divide the b (linear coefficient) by 2, then square it. Basically:

The b in the expression is -18.


This is the number that is added.