<h3>Answer:</h3>
17. 2x^4 + x^3 + x^2 + 4x + 3 + 8/(x -1)
18. x = 2, x = -2
19. The slant asymptote is y = x + 14
<h3>Explanation:</h3>
17. See the first attachment for the synthetic division. The summary statement is the expression represented by the result.
18. The denominator is the difference of two squares, so is readily factored to ...
... (x -2)(x +2)
The zeros of this product are the locations of the vertical asymptotes of f(x). They are ...
... x = 2, x = -2.
19. Dividing the numerator by the denominator (using synthetic division, if you like) gives the result ...
... f(x) = x + 14 + 104/(x -8)
The linear expression y=x+14 defines the end behavior when x gets large. That is, it is the slant asymptote of the function. See the second attachment for a graph.
(There will be a horizontal asymptote only when the degrees of numerator and denominator are the same. In this case, they are not.)
Answer:
6?
Step-by-step explanation:
9x8=72
8x7=56
7x6=42
6x5=30
5x4=20
4x3=12
3x2= 6
Answer:
69
Step-by-step explanation:
Answer: Brand B is the best unit price
Explanation:
Brand A:
6 = 54$
1 = 54/6
1 = 9$
Brand B:
9 = 63$
1 = 63/9
1 = 7
So brand B is much cheaper
Answer:
If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles (bottles only differ in heights) then the larger bottle will hold approximately 701.14 ml of fluid (the answer says 700ml which is very close)
Step-by-step explanation:
Step 1: Formula of volume of a cylinder is pi*r^2*h
where value of pi is 3.14
r is the radius
h is the height of the bottle (height is different for both bottles)
After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.
You can extract the radius by following this method:
Volume of a cylinder = pi*r^2*h (now put the value of the known volume and height of the smaller cylinder)
500 = 3.14 * (r)^2 *15
500/(3.14*15) = r^2
10.616 = r^2
Taking sqrt. on both sides
We get r = 3.26
Now put the same value in the formula of volume with the radius and height. You will get the answer for second bottle.
V= 3.14 * (3.26)^2 *21
V= 701.14 (approx)
