<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: 36.2
Step-by-step explanation:
Answer:
3.08 x 10^-3
Step-by-step explanation:
when putting into scientific notation, you must make it to where there is one number to the left of the decimal. If you move the decimal left, it equals a negative power, if you move it right, it equals a positive power.
This question is incomplete, the complete question is;
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 24.6 pounds and a standard deviation of 8.0 pounds.
Step 2 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 51 people on this diet, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
the standard deviation of the sampling distribution of sample means is 1.12
Step-by-step explanation:
Given the data in the question,
population mean; μ = 24.6 pounds
Population standard deviation; σ = 8.0 pounds
sample size; n = 51
Now determine the standard deviation of the sampling distribution of sample means.
standard deviation of the sampling distribution of sample means is simply
⇒ population standard deviation / √sample size
= 8.0 / √51
= 8.0 / 7.141428
= 1.120224 ≈ 1.12
Therefore, the standard deviation of the sampling distribution of sample means is 1.12
Answer:
Below
Step-by-step explanation:
The equation of a circle is written as:
(x-a)^2 + (y-b)^2 = r^2
● ( a,b) are the coordinates of the center . Here (0,-2)
● r is the radius (here 12)
So the equation is:
x^2 + (y+2)^2 = 12^2
