Answer:
x if -3is less than x is less than -1
5 is -1 is less than x is less than 1
Step-by-step explanation:
You find the slope of the line for the first piece when the x-values range from -3 to -1.
For the second piece, the line is y=5 because the line is horizontal.
Answer:
y=1/∛4 divides the area in half
Step-by-step explanation:
since the minimum value of x² is 0 (for x=0 ) and for y=1
1 = 25*x² → x= ±√(1/25) = ±1/5
then the total area between y=1 and y = 25*x² is bounded to x=±1/5 and y=0 . Since there is a direct relationship between x and y , we can find the value of x=a that divides the region in 2 of the same area. thus
Area below x=C = Area above x=C
Area below x=C = Total area - Area below x=C
2*Area below x=C = Total area
Area below x=C = Total area /2
∫ 25*x² dx from x=c to x=-c = 1/2 ∫ 25*x² dx from x=1/5 to x=-1/5
25*[c³/3 - (-c)³/3] = 25/2 * [(1/5)³/3 - (-1/5)³/3]
2*c³/3 = (1/5)³/3
c = 1/(5*∛2)
thus
y=25* x² = 25*[1/(5*∛2)]² = 1/∛4
thus the line y=1/∛4 divides the area in half
Answer
B is the correct answer.
Step-by-step explanation:
This is the given information for which system of equations would be used to find out how many dimes and quarters Amir has?
x = dimes x = 0.10 or 0.1
y = quarters y = 0.25
31 coins
worth $5.20 = 5.2
x + y = 31
0.1x + 0.25y = 5.2
Since ED and DB are exactly half of EB, we can set ED and DB equal to each other.
x + 4 = 3x - 8
Subtract x from both sides. Add 8 to both sides
12 = 2x
Divide both sides by 2
6 = x
ED = 6 + 4 = 10
ED = DB = 10
EB = ED +DB = 10 + 10 = 20
ED = 10
DB = 10
EB = 20
