using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equ
1 answer:
Answer:
The projected population in 2026 is of 699.3 million.
Step-by-step explanation:
Population:
The population, in x years after 2000, is given by the follwing equation:
That is:
What is projected population in 2026?
2026 - 2000 = 26, so this is y(26).
The projected population in 2026 is of 699.3 million.
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Answer:
Step-by-step explanation:
The given line passes through the points,
and
.
We can find the slope using the following;
or
Using the first formula;
We obtain;
The correct answer is C.
(3) Differentiating both sides of
with respect to <em>x</em> gives
Solve for d<em>y</em>/d<em>x</em> :
Then the slope of the tangent line to the curve at (1, 9) is
The equation of the tangent line would then be
<em>y</em> - 9 = -2/3 (<em>x</em> - 1) ==> <em>y</em> = -2/3 <em>x</em> + 29/3
(4) The slope of the tangent line to
at a point <em>(x, y)</em> on the curve is
When <em>x</em> = -1, we have a slope of 2/3, so
-(2<em>a</em> + 1)/(-1 - 2)² = 2/3
Solve for <em>a</em> :
-(2<em>a</em> + 1)/9 = 2/3
2<em>a</em> + 1 = -18/3 = -6
2<em>a</em> = -7
<em>a</em> = -7/2