Let x is the days and the y is the height of the plant.
Let the change between x and y is linear.
So, the relation between x and y will take the form ⇒ y = ax + b
where a and b are constants.
At x = 30 ⇒ y = 18 ⇒⇒⇒ ∴ 18 = 30 a + b → (1)
At x = 90 ⇒ y = 29 ⇒⇒⇒ ∴ 29 = 90 a + b → (2)
solve (1) and (2) to find a and b
subtract (1) from (2)
∴ 11 = 60 a ⇒⇒⇒ ∴ a = 11/60
substitute at (1) ⇒⇒⇒ ∴ b = 25/2 = 12.5
<u>So, the equation which represents the plants growth is</u>
<u>∴ y = (11/60) x + 12.5</u>
Hello from MrBillDoesMath!
Answer:
x = 3
Discussion:
(
23 + 3x) + (8x-41) = 15 =>
23 - 41 + 3x + 8x = 15 =>
-18 + 11x = 15 =>
11x = 15 + 18 = 33 =>
x = 33/11 = 3
Thank you,
MrB
Answer:
AB=7.21 unit
BC=6 unit
CD=7.21 unit
AD= 6 unit
AC=4 unit
BD=4 unit
Step-by-step explanation:
Coordinates of A =(-2,3)
Coordinates of B = (2,-3)
Coordinates of C = (2,3)
Coordinates of D =(-2,-3)
Distance formula :

AB=7.21 unit

BC=6

CD=7.21

AD=6


AC=4

BD=
BD=4
Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985