Just did it...its the first one...second one....fifth one and sixth one...that..is if your on edegenuity..
The Q30X program and the Intensity program are both effective because the average participant 1-mile run time was reduced for each program, but the Intensity program is the more effective program because it yielded a greater decrease in the average participant 1-mile run time.
<span>I note that this problem starts out with "Which is a factor of ... " This implies that you were given several answer choices. If that's the case, it's unfortunate that you haven't shared them.
I thought I'd try finding roots of this function using synthetic division. See below:
f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation. Thanks.
Possible zeros of this poly are factors of 35: plus or minus 1, plus or minus 5, plus or minus 7. Use synthetic division; determine whether or not there is a non-zero remainder in each case. If none of these work, form rational divisors from 35 and 6 and try them: 5/6, 7/6, 1/6, etc.
Provided that you have copied down the function
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35 properly, this approach will eventually turn up 1 or 2 zeros of this poly. Obviously it'd be much easier if you'd check out the possible answers given you with this problem.
By graphing this function, I found that the graph crosses the x-axis at 7/2. There is another root.
Using synth. div. to check whether or not 7/2 is a root:
___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0
Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.
Answer:
B
Step-by-step explanation:
First, pop. density for State A:
population/area : 1,055,173 / 2,677 = 394.16
For State B:
pop./A : 1,333,089 / 36,418 = 36.61
For State C:
pop.A : 3,596,677 / 5,543 = 648.87
For State D:
pop./A : 6,745,408 / 10,555 = 639.07
Okay!
So with this data, we can easily rule out the first option (State A has the least population, but it isn't the most densely populated). Moving on to the second option, we see that the state with the second-lowest population, State B, also has the lowest population density! Thus, our answer is B (haha which is coincidentally the State name).
The parent function represented by the graph is an exponential function, as it gets exponentially smaller.
