Sophia and Quinn were picking apples at the farm.
1 answer:
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Answer:
<u>Potential roots:</u>
Step-by-step explanation:
Simply put, the rational roots theorem tells us that if there are any rational roots of a polynomial function, they must be in the form
±
Where
a_n is the number before the highest power of the polynomial, and
a_0 is the constant in the polynomial
<em>From the polynomial shown, we have a_n = 9 and a_0 = 4</em>
<em />
<em>The factors of 9 are 9, 3, 1</em>
<em>and</em>
<em>The factors of 4 are 4,2,1</em>
<em />
So, if there are any rational roots, they would be:
±
±
Which is ± 9/4, 9/2, 9/1, 3/4, 3/2, 3/1, 1/4, 1/2, 1/1
or
Answer:
volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( x + b )² dx
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)
from the image;
the equation of AB will be;
y-b / b-0 = x-0 / 0-a
(y-b)(0-a) = (b-0)(x-0)
0 - ay -0 + ba = bx - 0 - 0 + 0
-ay + ba = bx
ay = -bx + ba
divide through by a
y = x + ba/a
y = x + b
so R is bounded by y = x + b and y =0, 0 ≤ x ≤ a
The volume of the solid revolving R about x axis is;
dv = Area × thickness
= π( Radius)² dx
= π ( x + b )² dx
V = π ₀∫^a ( x + b )² dx
Therefore, volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( x + b )² dx
Answer:
Rate of depreciation per year is 4310 $/ year and the depreciation schedule is given below.
Step-by-step explanation:
According to the question,
since, it is straight-line depreciation,
rate of depreciation per year = $/year
= 4310 $/ year
So we can prepare the following table. (year = 0 for the base period)
Year Depreciation Accumulated Book value
expense depreciation
( in $) (in $) (in $)
0 0 0 21920
1 4310 4310 17610
2 4310 8620 13300
3 4310 12930 8990
4 4310 17240 4680