<h3>
Answer: B) 2</h3>
=========================================================
Explanation:
Take away the four white small squares on the left side. To balance things out, you have to add 4 black squares to the right side.
Also, take away the two white long rectangles from the right side. To balance this out, you have to add 2 gray long rectangles to the left side.
You should have:
- 5 gray rectangles, and no squares (of any color) on the left side
- 10 black squares, no long rectangles (of any color), on the right side
From here you'll group up the 10 black squares so that you'll have 2 black squares per gray rectangle.
This means the solution is 2.
-------------------------------------
If you're curious about the algebraic way to solve, then you could do this:
3x-4 = -2x+6
3x+2x = 6+4
5x = 10
x = 10/5
x = 2
This method doesn't require us to use the visual model.
W letter is two pairs of parallel lines
Answer:
x = 2.25
Step-by-step explanation:
-9(x - 5) = x + 22 1/2
Distribute the nine and then add 9x to both sides
-9x + 45 = x +22 1/2
+ 9x + 9x
Then try to get x alone
45 = 10x + 22 1/2
-22 1/2 -22 1/2
22.5 = 10x
2.25 = x
The piecewise function is
f(x) = 2, 0 < x ≤ 1/2
f(x) = 2 + 0.7x, x > 1/2
<h3>How to determine the piecewise function?</h3>
From the question, we have:
Fares = $2.00 ⇒ up to (and including) 1/2 miles
Fares = $0.70 increment ⇒ greater than 1/2 miles
Let x represent the number of miles, and f(x) the fares.
So, we have:
f(x) = 2, 0 < x ≤ 1/2
f(x) = 2 + 0.7x, x > 1/2
The above represents the piecewise function
Read more about piecewise function at:
brainly.com/question/18859540
#SPJ1
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
