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3 years ago

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How do you factor 6x2 + 11x + 3

1 answer:

REY [17]3 years ago

3 0

Answer:

(3x + 1) (2x + 3)

These are the factors of 6x2 + 11x + 3

Step-by-step explanation:

Math Term Definition. Factor. To factor a number means to break it up into numbers that can be multiplied together to get the original number. EXAMPLES: 6 = 3 x 2 so, factors of 6 are 3 and 2 9 = 3 x 3 so, factors of 9 are 3 and 3 Sometimes, numbers can be factored into different combinations.

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A rectangular area is to be enclosed by a wall on one side and fencing on the other three sides. If 18 meters of fencing are use

Rashid [163]

Answer:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

Step-by-step explanation:

For this case we assume that the total perimeter is 18 ft, we have a wall and the two sides perpendicular to the wall measure x units each one so then the side above measure P-2x= 18-2x.

And we are interested about the maximum area.

For this case since we have a recatangular area we know that the area is given by:

$A= LW$

Where L is the length and W the width, if we replace from the values on the figure we got:

$A(x)= x *(18-2x) = 18x -2x^2$

And as we can see we have a quadratic function for the area, in order to maximize this function we can use derivates.

If we find the first derivate respect to x we got:

$\frac{dA}{dx} = 18-4x=0$

We set this equal to 0 in order to find the critical points and for this case we got:

$18-4x=0$

And if we solve for x we got:

$x=\frac{18}{4}=\frac{9}{2} m$

We can calculate the second derivate for A(x) and we got:

$\frac{d^2 A}{dx^2}= -4$

And since the second derivate is negative then the value for x would represent a maximum.

Then since we have the value for x we can solve for the other side like this:

$L= 18-2x = 18-2 \frac{9}{2}= 18-9 =9m$

And then since we have the two values we can find the maximum area like this:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

8 0

3 years ago

Louis's mother sent him to the grocery store with $20. she told him to purchase a 16 oz tub of cream cheese and use the rest of

Kruka [31]

Answer:

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Step-by-step explanation:

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3 years ago

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Jamie makes a road through his wooded lot. What is the area of the part of the lot that has trees?

fredd [130]

since the area formula is length times width,72 times 36 = 2592 then that times 6 = 15552.That is the area of the lot that has trees.

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3 years ago

Plz help me with this problem guys

Tju [1.3M]

The length of LM Left and M

5 0

4 years ago

Quick!<br>pemdas<br>2² × (-9 + 4)

ahrayia [7]

2^2(-9 + 4)

First step: solve the brackets.

2^2(-5)

Second step: solve the exponent.

4(-5)

Final step: multiply.

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PS: Could you please mark as brainliest? Thanks!

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3 years ago

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