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 = ?
Answer:
Given - A rectangle of length 18 feet and wide 14 feet
To find - Area
Solution -
Area of rectangle = Length * Breadth
=
square feet
A. All remaining numbers are in Q because it goes "even" left, and "odd" right.
B. Probability of it not being in Q is 1/2
Answer: Choice A
Proof:
Replace x with 1 and y with 2. This is because (x,y) = (1,2) so x = 1 and y = 2.
Doing both replacements and simplifying leads to...
2*x - y = 0
2*1 - 2 = 0
2 - 2 = 0
0 = 0
That confirms (x,y) = (1,2) is a point on the line.
It confirms (1,2) is a solution to the equation.
The price of the television set before taxes is $400
<h3>How to find the price of the television set before taxes.?</h3>
The given parameters are:
Price after tax = $428.00
Tax rate = 7%
The price of the television set before taxes is calculated as:
Price after tax = Price before tax * (1 + tax rate)
This gives
$428.00 = Price before tax * (1 + 7%)
Express the percentage as decimal
$428.00 = Price before tax * (1 + 0.07)
Evaluate the sum
$428.00 = Price before tax * (1.07)
Divide both sides by 1.07
Price before tax = $400
Hence, the price of the television set before taxes is $400
Read more about sales tax at:
brainly.com/question/9437038
#SPJ1
