Answer:
x = 15 ft
y = 15 ft
A(max) = 225 ft²
Step-by-step explanation:
Let call "x " and " y " sides of the rectangle x (side paralll to the northern boundary, then:
A(r) = x*y and 4*x + 2*2*y = 120 or 4*x + 4*y = 120
4*x + 4*y = 120 ⇒ x + y = 30 ⇒ y = 30 - x
Area of the garden as a function of x is:
A(x) = x* ( 30 - x ) ⇒ A(x) = 30*x - x²
Taking derivatives on both sides of the equation
A´(x) = 30 - 2*x
A´(x) = 0 ⇒ 30 - 2*x = 0
2*x = 30
x = 30/2
x = 15 ft
And y = ( 30 - x )
y = 15 ft
A(max) = 15*15
A(max) = 225 ft²
Answer:
7 to 3 is this answer
Step-by-step explanation:
if you noticed, with all the other ones they all have 3 : 7 in it. So by the process of elimination it's 7 to 3 that is different. I'll tell you why,
3 : 7, that is the ratio we have as an example. That's why it isn't the different one.
3 to 7, you say 3 : 7 as 3 to 7 to it still has the same ratio
3/7, this is how to type the fraction version of the ratio so it makes sense that it is the same one as 3 : 7.
7 to 3, if you haven't noticed yet, all of them has 3 : 7 as a counterpart. They are all the same but this one, this is 7 : 3 or 7 to 3. So with logic, this is the different ratio.
<u>f(x) = x + 3</u>
f(2) = 2 + 3
f(2) = 5
f(4) = 4 + 5
f(4) = 9
f(6) = 6 + 5
f(6) = 11
{(2, 5), (4, 9), (6, 11)}
Answer:
16
Step-by-step explanation:
Answer:
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