The answer is 21x-28 hope it helps
Answer:
6 possible integers
Step-by-step explanation:
Given
A decreasing geometric sequence

Required
Determine the possible integer values of m
Assume the first term of the sequence to be positive integer x;
The next sequence will be 
The next will be; 
The nth term will be 
For each of the successive terms to be less than the previous term;
then
must be a proper fraction;
This implies that:

<em>Where 7 is the denominator</em>
<em>The sets of </em>
<em> is </em>
<em> and their are 6 items in this set</em>
<em>Hence, there are 6 possible integer</em>
Answer:
2^6, 64
Step-by-step explanation: The simplified version is two to the fifth power and the answer is 64. Those are the two I know
Answer:
q = 15
Step-by-step explanation:
Given
f(x) = x² + px + q , then
f(3) = 3² + 3p + q = 6 , that is
9 + 3p + q = 6 ( subtract 9 from both sides )
3p + q = - 3 → (1)
---------------------------------------
f'(x) = 2x + p , then
f'(3) = 2(3) + p = 0, that is
6 + p = 0 ( subtract 6 from both sides )
p = - 6
Substitute p = - 6 into (1)
3(- 6) + q = - 3
- 18 + q = - 3 ( add 18 to both sides )
q = 15
Answer:
0.194
Step-by-step explanation:
Probability that BOTH are democrats means probability of <u>"one being democrat"</u> AND <u>"another also being democrat"</u>.
The AND means we need to MULTIPLY the individual probability of a person being democrat.
Probability that a voter is democrat is 44% (0.44) -- stated in the problem
Now, Probability BOTH being Democrats is simply MULTIPLYING 0.44 with 0.44

Rounded to nearest thousandth, 0.194
Last answer choice is correct.