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luda_lava [24]
3 years ago
12

Give the prime algebraic factorization: 15a2b = _____

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0

Answer:

3a5a2b

Step-by-step explanation:

You can prime factorize 15: 3 x 5

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A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be fenced. If 1000 yards of fenci
sveta [45]

Answer:

x  =  500 yd

y  =  250 yd

A(max) = 125000 yd²

Step-by-step explanation:

Let´s call x the side parallel to the stream ( only one side to be fenced )

y the other side of the rectangular area

Then the perimeter of the  rectangle  is  p  =  2*x  + 2* y  ( but only 1 x will be fenced)

p  =  x  +  2*y

1000  =  x   +  2 * y         ⇒    y  =  (1000 - x )/ 2

And   A(r)  =  x * y

Are as fuction of x

A(x)  =  x  *  (  1000  -  x ) / 2

A(x)  =   1000*x / 2 -  x² / 2

A´(x)  =  500  -  2*x/2

A´(x)  =  0              500   -  x   =  0

x  =  500 yd

To find out if this value will bring function A to a maximum value we get the second derivative

C´´(x)  =  -1         C´´(x) < 0  then efectevly we got a maximum at  x  = 500

The side  y  = ( 1000  -  x ) / 2

y  =  500/ 2

y  =  250 yd

A(max)  =  250 * 500

A(max) = 125000 yd²

3 0
3 years ago
I'm confused! Given: f(x) = x 2 + 2x + 1, find f(x + h) and simplify. is that the derivative formula? what should I do?
ZanzabumX [31]
<span>x 2 + 2x + 1 if you wanted is just 4x+1

</span>
7 0
3 years ago
Please help. I’ll mark you as brainliest if correct!
erica [24]

Step-by-step explanation:

Nicole starts with the budget:

$395

Now, she only expects to pay half the deposit;

$72 ÷ 2 = $36

Subtract this from the budget:

$395 - $36 = $359

Divide by cost per hour:

$359 ÷ $60 = 5.983333... (3 repeating)

This means, Nicole can rent a <em>maximum</em><em> </em>of 5 hours with her budget. The inequality would be

x  \leqslant 5

5 0
3 years ago
Find the surface Area.
vesna_86 [32]

Answer:

it's 400

Step-by-step explanation:

just do it like this I guess 5 × 8 × 10

8 0
3 years ago
In the diagram below,
sergey [27]
Can you attach a picture because this is very hard to read
5 0
3 years ago
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