The x-intercept is what 'x' is when 'y' is equal to 0. So plug in 0 for 'y' and solve for 'x':
![\sf 4x+2y=16](https://tex.z-dn.net/?f=%5Csf%204x%2B2y%3D16)
![\sf 4x+2(0)=16](https://tex.z-dn.net/?f=%5Csf%204x%2B2%280%29%3D16)
Simplify:
![\sf 4x=16](https://tex.z-dn.net/?f=%5Csf%204x%3D16)
Divide 4 to both sides:
![\sf x=4](https://tex.z-dn.net/?f=%5Csf%20x%3D4)
So the x-intercept is (4, 0).
The y-intercept is what 'y' is when 'x' is equal to 0. So plug in 0 for 'x' and solve for 'y':
![\sf 4x+2y=16](https://tex.z-dn.net/?f=%5Csf%204x%2B2y%3D16)
![\sf 4(0)+2y=16](https://tex.z-dn.net/?f=%5Csf%204%280%29%2B2y%3D16)
Simplify:
![\sf 2y=16](https://tex.z-dn.net/?f=%5Csf%202y%3D16)
Divide 2 to both sides:
![\sf y=8](https://tex.z-dn.net/?f=%5Csf%20y%3D8)
So the y-intercept is (0, 8).
Let width and length be x and y respectively.
Perimeter (32in) =2x+2y=> 16=x+y => y=16-x
Area, A = xy = x(16-x) = 16x-x^2
The function to maximize is area: A=16 x-x^2
For maximum area, the first derivative of A =0 => A'=16-2x =0
Solving for x: 16-2x=0 =>2x=16 => x=8 in
And therefore, y=16-8 = 8 in
Answer:
She can ride 17.045 Miles in one hour.
Step-by-step explanation:
(250 feet/10 seconds) x (1 mile/5280 feet) x (60 seconds/ 1 minute) x (60 minutes/ 1 hour) = 17.045 Miles per hour
Answer: 20
Step-by-step explanation:
2x^2 + 4y=
2(2)^2 + 4(3)=
2(4)+12=
8+12=20
Answer:
12 months=1 years
24 months=2 years
36 months=3 years
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