Answer:
0.5 lawns per hour.
Step-by-step explanation:
6/12 is 0.5
Answer: 90.51 square units
Explanation:
1) The rectangle has one length on the x-axis.
2) Call x, the x-coordinate of the right lower corner of the rectangle.
And the point is (x,0)
3) The x-coordinate of the lef lower corner will be - x.
And the point is (-x,0)
4) The right upper point of the rectangle will be (x,y) where y = 24 - x²
5) The left upper point of the rectangle will be (-x,y) where y = 24 - x² .
6) The area of such rectantle is the length of the base times the length of the height.
The length of the base is 2x
The lenght of the height is y
So, the area is A = 2x(y) = 2x(24 - x²) = 48x - 2x³
7) Now to find the maximum area you have to derivate the function and make it equal to zero:
dA
---- = A' = 48 - 6x² = 0 =>
dx
4x² = 48 => x² = 48/6 = 8 =>
x = (+/-)√8
Then, y = 24 - x² = 24 - (√8)² = 24 - 8 = 16
8) Therefore the area of the rectangle is
A = 2x(y) = 2(√8)(16) = 90.51.
9) You can see if x is a greater or smaller.
For example x = 2 and x = 3
x = 2 => y = 24 - (2)² = 20 => A = 2(2)(20) = 80 which is less than 90.51
x = 3 => y = 24 - (3)² = 15 => A = 2(3)(15) = 90 which is less than 90.51
So, that tells you that your result should be right.
Answer:
D. y + 4 = 2x
Step-by-step explanation:
The graph has a y-intercept at (0, -4).
A. y=16 - 3x/4
if x = 0, y = 16. FALSE.
B. 24 + 3y = 6x
If x = 0, 24 + 3y = 0
3y = -24
y = -8. FALSE.
C. 4y + x = 16
If x = 0, 4y = 16
y = 4. FALSE.
D. y + 4 = 2x
If x = 0, y + 4 = 0
y = -4. TRUE.
y = 4 + 2x has the same y-intercept as the graphed line.
First put the equation into standard form by isolating y:
y=-0.5x+5
To convert x to have no coefficients, the coefficient is really 1, so multiplying everything by -2 and you get
-2y=x-10
Answer:
is there a question ?
Step-by-step explanation:
