Answer:
Step-by-step explanation:
Nick's age = x years
Lina's age =3*x = 3x
After 6 years,
Lina's age = 3x + 6
Nick's age = x + 6
3x + 6 = 2*(x+6)
3x + 6 = 2*x + 2*6
3x + 6 = 2x + 12 {Subtract 6 form both sides}
3x +6 - 6 = 2x + 12 - 6
3x = 2x + 6 {subtract 2x from both sides}
3x - 2x = 2x + 6 - 2x
x = 6
Nick's age = 6 years
Lina's age =3*6 = 18 years
Answer:
810
Step-by-step explanation:
In this case the sample space would be the number of combinations that can be made with the numbers from 1 to 30 with the letters of the alphabet, from "a" to "z", for example:
A1, A22, C4, F9, etc
Now we know how many numbers are 30, now the alphabet has 27 letters, therefore, the number of combinations are:
27 * 30 = 810
Which means that the total number of results is 810.
Answer:
The answer is B. f(x) = (x − 1)(x − 2)(x + 1)(x + 2)
Answer:
B and C work. A and D do not.
Step-by-step explanation:
This is one of those questions that you have to go through each answer to see what the results are. You don't have to go far to eliminate A and D so let's do that first.
A]
5n + 6
Let n = 1
5(1) + 6
5 + 6= 11
However there is trouble beginning with n = 2
5*2 + 6
10 + 6
16 All you need is one wrong answer and the choice is toast. So A won't work.
================
Try D
6(n - 1)+ 5
n=0
6*(-1) + 5
-6 + 5
- 1
And D has been eliminated with just 1 attempt. n= 2 or n = 1 would be even worse. D is not one of the answers.
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B
Let n = 1
6(1) + 5
6 + 5
11 The first term works.
n = 2
6*(2) + 5
12 + 5
17 and n = 2 works as well. Just in case it is hard to believe, let's try n = 3 because so far, everything is fine.
n = 3
6*(3) + 5
18 + 5
23 And this also works. I'll let you deal with n = 4
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C
n = 0
6(0 + 1) + 5
6*1 + 5
6 + 5
11
n = 1
6(1 + 1) + 5
6*2 + 5
12 + 5
17 which works.
So C is an answer.
