514 divided by 28 equals 18.3571429
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:
3x
Step-by-step explanation:
50 mi/hr × (1 hr / 60 min) × (200 gal / 500 mi) = ⅓ gal/min
(⅓ gal/min) × (t min) = x gal
t = 3x
Answer: 
Step-by-step explanation:
Group like terms:
Simplify the arithmetic:
Add 7 to both sides:
Simplify the arithmetic:
Simplify the arithmetic:
Divide both sides by 3:
Simplify the fraction:
Find the greatest common factor of the numerator and denominator:
Factor out and cancel the greatest common factor and the answer will be:
Area= 1/2(base)(height)
A= 1/2(7)(2)
A= (1*2*7)/2
A= 14/2
A= 7 units squared
Hope this helps! :)
