If you'd graph this function, you'd see that it's positive on [-1.5,0], and that it's possible to inscribe 3 rectangles on the intervals [-1.5,-1), (-1,-0.5), (-0.5, 1].
The width of each rect. is 1/2.
The heights of the 3 inscribed rect. are {-2.25+6, -1+6, -.25+6} = {3.75,5,5.75}.
The areas of these 3 inscribed rect. are (1/2)*{3.75,5,5.75}, which come out to:
{1.875, 2.5, 2.875}
Add these three areas together; you sum will represent the approx. area under the given curve on the given interval: 1.875+2.5+2.875 = ?
The answer should be
780x + 1500y=31000
please correct me if i'm wrong
Answer:
In year 2030 the population is predicted to be 71.75 million
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- Using data from 2010 and projected to 2020, the population of
the United Kingdom (y, in millions) can be approximated by the
equation 10.0 y − 4.55 x = 581
- x is the number of years after 2000
- We need to know in what year the population is predicted to be
71.75 million
* <em>Lets substitute the value of y in the equation by 71,75</em>
∵ The equation of the population is 10.0 y - 4.55 x = 581
∵ y = 71.75
∴ 10.0(71.75) - 4.55 x = 581
∴ 717.5 - 4.55 x = 581
- Subtract 717.5 from both sides
∴ - 4.55 x = - 136.5
- Divide both sides by - 4.55
∴ x = 30
∵ x represents the number of years after 2000
∵ 2000 + 30 = 2030
∴ In year 2030 the population is predicted to be 71.75 million
-13 -23 because divide by two then add five and subtract 5
