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Liula [17]
3 years ago
7

What is the answer to 7 ?

Mathematics
2 answers:
Elza [17]3 years ago
8 0

Answer:

the answer is E

Step-by-step explanation:

kodGreya [7K]3 years ago
4 0

Answer:

d. 10a³b⁻⁴

Step-by-step explanation:

Rule:

aᵃ × aᵇ = aᵃ⁺ᵇ

2a³b⁻² × 5ab⁻²

2 × 5 = 10

a³⁺¹ = a⁴

b⁻²⁻² = b⁻⁴

10a⁴b⁻⁴

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You have 6L feet of fence to make a rectangular vegetable garden alongside the wall of your house, where L is a positive constan
nika2105 [10]

Answer:

A(max) = (9/2)*L² ft²

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y  = (3/2)*L   ft

Step-by-step explanation:

Let call  "x"  and  " y " sides of the rectangle. The side x is parallel to the wall of the house then

Area of the rectangle is  

A(r) = x*y

And total length of fence available is 6*L f , and we will use the wall as one x side then, perimeter of the rectangle which is 2x  +  2y   becomes x + 2*y

Then

6*L  =  x + 2* y    ⇒ y  = ( 6*L - x ) /2

And the area as function of x is

A(x)  =   x* ( 6*L - x )/2

A(x)  = ( 6*L*x  - x² ) /2

Taking derivatives on both sides of the equation we get:

A´(x)  =  1/2 ( 6*L - 2*x )

A´(x)  =  0      ⇒      1/2(  6*L  - 2*x ) = 0

6*L - 2*x  = 0

-2*x  = - 6*L

x  =  3*L feet

And

y  = ( 6*L - x ) /2   ⇒  y  = ( 6*L - 3*L )/ 2

y = ( 3/2)*L feet

And area maximum is:

A(max)  =  3*L * 3/2*L

A(max)  = (9/2)*L² f²

4 0
3 years ago
Read 2 more answers
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