9514 1404 393
Answer:
a) (x³ -x² +x +2) +2/(x+1)
b) (x² +2x -5) +6/(x+3)
Step-by-step explanation:
Polynomial long division is virtually identical to numerical long division, except that the quotient term does not require any guessing. It is simply the ratio of the leading terms of the dividend and divisor. As with numerical long division, the product of the quotient term and the divisor is subtracted from the dividend to form the new dividend for the next step.
The process stops when the dividend is of lower degree than the divisor.
In part (a), you need to make sure the dividend expression has all of the powers of x present. This means terms 0x³ and 0x² must be added as placeholders in the given dividend. They will become important as the work progresses.
Answer:
irrational.
Step-by-step explanation:
0.7777... repeats and does not end so it is irrational
And what else you can not solve that problem
Answer:
The last table given See attached image)
Step-by-step explanation:
Notice that they are asking for the inverse function to the one with the detailed relationship given. The original relationship was assigning to the Domain of number of people attending, the Range of values for charges.
Therefore, the inverse function will be assigning in the opposite way: from the average charges (now the Domain of this relationship), to the number of people attending (now the Range of this relationship). The relationship should also maintain the original element to element connection:
What was:
(20, $10) should now be ($10, 20)
(26, $6.25) should now be ($6.25, 26)
(35, $4) should now be ($4, 35)
This is exactly represented by the last table (see also image attached)
Answer:
and 
Step-by-step explanation:
We have been given the parabola with vertex (1, -9) and y intercept at (0, -6).
Now we need to find the x-intercepts of that parabola. So first we begin by finding the equation of parabola using vertex formula:
Vertex for this formula is given by (h,k)
Compare that with given vertex (1,-9), we get: h=1, k=-9
So plug these into vertex formula:
...(i)
Plug given point (0, -6). into (i)
Plug a=3 into (i)
Now to find x-intercept, we just plug y=0 and solve for x
Hence final answer are
and
