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3 years ago

Factor the expression 24x + 18y =

2 answers:

6 0

First lets find their greatest common factor;
The GCF of 24 & 18 is 6.

Now lets factor the equation;
6(4x + 3y)

Hope this helps! :)

dangina [55]3 years ago

3 0

24x = 2,2,2,3,x
18y = 2,3,3,y

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3 years ago

Murphy family has 4 members and they went to 7 games. Chen family has 5 members and they went to 4 games. In total, the two fami

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kifflom [539]

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3 years ago

Chloe has enough sand to fill a sandbox with an area of 36 square units. She wants the outer edges of the sandbox to use as litt

sergiy2304 [10]

Answer:

The dimensions of the box is 6 × 6 units.

Step-by-step explanation:

Chloe fill a sand box whose area is 36 square units.

Let length be x units and width be y units.

Area of box = 36

$xy=36\\y=\dfrac{36}{x}\ \ \ ...(i)$

Perimeter of box, $P=2(x+y)$

$P=2(x+\dfrac{36}{x})\ \ \ \ \ \ \ \ [\text{ From }(i)]$

Differentiate w.r to x

$\dfrac{dP}{dx}=2(1-\dfrac{36}{x^2})$

For critical point, $\dfrac{dP}{dx}=0$

$\therefore 2(1-\dfrac{36}{x^2})=0$

$\Rightarrow x=\pm6$

x can't be negative.

$\dfrac{d^2P}{dx^2}=\dfrac{144}{x^3}\\\dfrac{d^2P}{dx^2}|_{x=6}=\dfrac{144}{216}>0(\text{min})$

$P_{min}=24$ units

Hence, Length = 6 units and width = 6 units

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3 years ago