Answer:
The required factors are: x, (x + 6) and (x - 3).
Step-by-step explanation:
As per the question,
The given polynomial is:
Now,
BY factorization, we get
By splitting the mid-term, that is split 3x like:
3x = 6x - 3x
Therefore,
Now on further solving by taking common factor out, we get
![=x[x(x+6)-3(x+6)]](https://tex.z-dn.net/?f=%3Dx%5Bx%28x%2B6%29-3%28x%2B6%29%5D)
Therefore, the given second polynomial (x - 4), is not a factor of given polynomial .
Hence, the given polynomial has three factor x, (x + 6) and (x - 3).
The rate of change will be positive and a point in the graph will be (1,250);
the function then would be y = 250x;
after 1 year she will owe USD 5,250;
she will have to make 33 payments.
How to form equation using slope and one point?
y - y1 = m(x - x1) is the equation of a straight line's point slope form, where m is the line's slope and (x1, y1) is the point through which the provided line passes.
Using slope-point equation, the equation for the payment can be taken as:
y-250 = [(500-250)/(2-1)]*(x-1)
y - 250 = 250*(x-1)
y = 250 + 250x - 250 = 250x;
Putting x = 12, for a year the amount paid is USD 3,000.
Amount she owes = USD (8250-3000) = USD 5,250;
Total amount to be paid (in USD) = 8250
Amount paid per month (in USD) = 250
Thus, number of payments required = 8250/250 = 33
Thus, the rate of change will be positive and a point in the graph will be (1,250); the function then would be y = 250x; after 1 year she will owe USD 5,250; she will have to make 33 payments.
To learn more about slope point equation form tap on the link below:
brainly.com/question/24907633
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Answer:
y=-1/2x+3/4
Step-by-step explanation:
just divide the entire equation by 4, so that y is isolated.
The standard form equation of a line is y=mx+b
Answer: 5
Step-by-step explanation:
A = xˆ(2−1)+yˆ(−1−(−1))+zˆ(0−(−3)) = xˆ +zˆ3,
|A| =
√
1+9 = 3.16,
aˆ =
A
|A|
=
xˆ +zˆ3
3.16
= xˆ 0.32+zˆ 0.95.
