Answer:
B, D, and E
Step-by-step explanation:
B. Five hundred thousand = 500,000/ three hundred = 300/ sixty-eight = 68.
D. 5 hundred thousands = 500,000/ 3 hundreds = 300/ 6 tens = 60/ 8 ones = 8.
E. 500,000 + 300 + 60 + 8 = 500,368.
Answer:
13 y^2 - 9 x y + 3 x^2
Step-by-step explanation:
Simplify the following:
6 x^2 - 7 x y + 8 y^2 - (x^2 - 3 x y - y^2) - (2 x^2 + 5 x y - 4 y^2)
-(x^2 - 3 x y - y^2) = -x^2 + 3 x y + y^2:
6 x^2 - 7 x y + 8 y^2 + -x^2 + 3 x y + y^2 - (2 x^2 + 5 x y - 4 y^2)
-(2 x^2 + 5 x y - 4 y^2) = -2 x^2 - 5 x y + 4 y^2:
6 x^2 - 7 x y + 8 y^2 - x^2 + 3 x y + y^2 + -2 x^2 - 5 x y + 4 y^2
Grouping like terms, 6 x^2 - 7 x y + 8 y^2 - x^2 + 3 x y + y^2 - 2 x^2 - 5 x y + 4 y^2 = (8 y^2 + y^2 + 4 y^2) + (-7 x y + 3 x y - 5 x y) + (6 x^2 - x^2 - 2 x^2):
(8 y^2 + y^2 + 4 y^2) + (-7 x y + 3 x y - 5 x y) + (6 x^2 - x^2 - 2 x^2)
8 y^2 + y^2 + 4 y^2 = 13 y^2:
13 y^2 + (-7 x y + 3 x y - 5 x y) + (6 x^2 - x^2 - 2 x^2)
x y (-7) + x y 3 + x y (-5) = -9 x y:
13 y^2 + -9 x y + (6 x^2 - x^2 - 2 x^2)
6 x^2 - x^2 - 2 x^2 = 3 x^2:
Answer: 13 y^2 - 9 x y + 3 x^2
12 hours and 40 minutes
Step-by-step explanation:
add them all up
Check the picture below.
keep in mind that the yellow shaded area is the "true" region, namely where f(x) ⩾ 0, and the values "x" takes on are pretty much all real values.