Answer:
here
Step-by-step explanation:
it is basically a sector , use the area formula i.e.
[(theta)/360]*πr^2
A.) 200+15m=395. This is because the initial price is 200, and after that she will add $15/month. The equation you chose would be exponential, meaning the rate would increase as time passed, which is not the case. Instead, the rate is constant, and the only think that changes is m, the number of months.
b.) I believe it will be easier to answer with ^this equation.
c.) The rate of change would be 15, since the rate is increasing monthly by $15.
d.) Once you solve 209+15m=495, you'll have the answer.
Answer:
and
.
Step-by-step explanation:
We have been given a system of equations. We are asked to solve our given system.


From equation (1), we will get:

Upon substituting this value in equation (2), we will get:





Now, we will substitute
in equation (1).



Therefore, the point
is solution for our given equation.
Answer:
8.5 units
Step-by-step explanation:
The distance between two points is given by

Taking points (-12, 11) and (-18, 17) as the first and second points respectively then


d=8.48528137423857 units
Rounded off to nearest tenths
d=8.5 units
<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.