Answer:
The negative outside the parentheses indicates that the vertex is a maximum
f(x) has a minimum vertex
g(x) has a maximum
Step-by-step explanation:
There are 5 letters in the word "prime"
Imagine we had 5 slots to fill. They are empty initially.
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice
We have this countdown: 5,4,3,2,1
which multiplies out to 5*4*3*2*1 = 120
There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.
Answer:
The first term is 42.
Step-by-step explanation:
The common difference is 142 - 140 = 2 so we have
50th term = a1 + 2(50 -1) = 140 where a1 is the first term
a1 + 98 = 140
a1 = 140 - 98 = 42.
Answer:
1. $8.
2. 48 counters.
Step-by-step explanation:
1. A pair of socks cost 20 - 2(6)
= $8.
2. let the number of counters in Box A and Box be be x.
Then the number of counters in Box B after the transfer is x + 1/2 x.
x + 1/2 x = 72
1.5 x = 72
x = 72 / 1.5
= 48.
In order to find the answer, you can use-
1/4x=6
In order to get the answer, you multiply 6 by the denominator.
6x4=24
Then, you'd divide the solution of that part by the numerator.
24 divided by 1 equals 24.
Therefore, the final answer would be 24.
