The correct answer is B: y ≥ 1/3x - 1
(0,0) ⇒ within the shaded area
0 ≥ 1/3(0) - 1
0 ≥ 0 - 1
0 ≥ -1
True
(0, -3) ⇒ not within the shaded area
-3 ≥ 1/3(0) -1
-3 ≥ 0 - 1
-3 ≥ -1
False
Answer:
7 items
Step-by-step explanation:
Sherry and Laura want to buy a new Ipod. Sherry has already saved $49 and will earn the rest by selling necklaces for $5 each. Laura doesn’t have any money saved, but will sell bracelets for $12 each. How many items must they sell to have the same amount saved for an Ipod?
49 + 5x = y
12x = y
7 items later
49+5(7)=84
12(7)=84
Sshshshahahahahs 2
.3blankw
Shshshshhaahahah hard usti 5 to 5
.down C
Not sure how to give a hint without blatantly giving the answer but...
Consider an n - digit number in base b.
That is N=an−1an−2.....a0=∑k=0akbk
N
=
a
n
−
1
a
n
−
2
.
.
.
.
.
a
0
=
∑
k
=
0
a
k
b
k
Note aka
k
<
b
so we can easily show NN
<
b
n
(may have to repeat and argue inductively.
And presumably to be n - digit than an−1≠0
a
n
−
1
≠
0
so N≥bn−1
N
≥
b
n
−
1
.
So we have: every n digit number is between bn−1
b
n
−
1
inclusively and bn
b
n
exclusively. This should be blindingly obvious to us if b=10
b
=
10
.
So... that's a really important and fundamental result. Remember and use it.
