2.3 plus 2.6 plus 2.9 plus 3.2 plus 3.5
Y - y₁ = m(x - x₁)
y - 1 = -2(x - 3)
y - 1 = -2(x) + 2(3)
y - 1 = -2x + 6
+ 1 + 1
y = -2x + 7
The answer is A.
is a right triangle with base length 1 and height 8, so the area of
is
.
The average value of
over
is given by the ratio
The denominator is just the area of
, which we already know. The average value is then simplified to
In the
-plane, we can describe the region
as all points
that lie between the lines
and
(the lines which coincide with the triangle's base and hypotenuse, respectively), taking
. So, the integral is given by, and evaluates to,
We open the brackets
And use the laws of indices
-2x^2(-5X^2+4X^3)
Opening brackets
10X^4-8X^5 we get X^4 and X^5 because the terms we have
multiplied have common bases and therefore we have added the powers
Hence our answer is 10X^4-8X^5
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