Answer:
C.64
Step-by-step explanation:
The first step is to figure out what the sequence is, the first step is 2, 4 the only ways for 2 to get to 4 would be +2 or *2 so we will look at the next step, 4 to 8. The only ways for 4 to get to 8 is +4 or *2, since these both have *2 in common we will check that with all of the terms
2, 4, 8, 16, 32
2 (*2) = 4 (*2) = 8 (*2) = 16 (*2) 32
Since the equation is working we are going to multiply 32 by 2 to get the 6th term
32 (*2) = 64
Answer:
17
Step-by-step explanation:
an=a1+(n-1)d
a22=-25+21(2)
a22=17
Answer:
(a) 7 essays and 29 multiple questions
(b) Your friend is incorrect
Step-by-step explanation:
Represent multiple choice with M and essay with E.
So:
--- Number of questions
--- Points
Solving (a): Number of question of each type.
Make E the subject of formula in 

Substitute 36 - M for E in 


Collect Like Terms


Divide both sides by -4


Substitute 29 for M in 


Solving (b): Can the multiple questions worth 4 points each?
It is not possible.
See explanation.
If multiple question worth 4 points each, then
would be:

Where x represents the number of points for essay questions.
Substitute 7 for E and 29 for M.


Subtract 116 from both sides



Make x the subject

Since the essay question can not have worth negative points.
Then, it is impossible to have the multiple questions worth 4 points
<em>Your friend is incorrect.</em>
Answer:
Step-by-step explanation:
Parallel lines have identical slopes and different y intercepts.
y = 3x + 2
y = 3x + 9
These lines are parallel with the same slopes (3) and different y intercepts (2 and 9)
Answer:
The answer is 27
Step-by-step explanation:
The reason being, you can solve this 2 ways.
1) Combine like terms, 7a-4a = 3a.
Now just substitute (a=9) into 3a.
3 * (9) = 27.
2) Or just substitute a = 9 into the original expression.
7 * (9) - 4 * (9)
= 63 - 36 = 27