Answer:
It is a geometric sequence en the common ratio is: 
.
Step-by-step explanation:
1. By definition, a geometric sequence is a sequence in which you obtain a term by multiplying the previous one by a common ratio.
2. The common ratio is obtained by dividing a term by its preceding term.
3. Keeping this on mind, you have:
4. As you can see, the common ratio is 
Answer:
Daniel sold 54 and Jack sold 42
Step-by-step explanation:
D = number of tickets that Daniel sold
J = number of tickets that Jack sold
D + J = 96
D = 12+ J
Substitute the second equation into the first equation
12 + J + J = 96
Combine like terms
12 + 2J = 96
Subtract 12 from each side
2J = 84
Divide by 2
J = 42
D = J+12
D = 54
Daniel sold 54 and Jack sold 42
Answer:
500
Step-by-step explanation:
Answer:
2a. 4/9 < 1/2 < 4/4
3a. 4/9 < 1/2 < 5/4
Step-by-step explanation:
Step-by-step explanation:
Lets first find the remainder when p(x) is divided by x-2
p(2)=2(2)³+b(2)²+3(2)-5
p(2)=16+4b+6-5
p(2)=4b+17
Now let's find the remainder when q(x) is divided by x-2
q(2)=(2)³+(2)²-4(2)-b
q(2)=8+4-8-b
q(2)=4-b
Now let's equate both of them
4b+17=4-b
4b+b=4-17
5b=-13
b=-13/5 as required
