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2 years ago

What is the product of 5x²y+3xy³

Mathematics

1 answer:

Serhud [2]2 years ago

8 0

Answer:

$(xy)(5x+3y^{2} )$

Step-by-step explanation:

The terms 5x²y and 3xy³ both have xy in common. We can factor out xy.

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On moving day, Jorge needs to rent a truck. The length of the cargo space is 12 ft, and the height is 1 ft less than the width.

lidiya [134]

Answer:

12ft $\times$ 7ft $\times$ 6ft

Step-by-step explanation:

Given that truck can hold = 504 $ft^{3}$ i.e.

Volume, V = 504 $ft^{3}$

Length of cargo space = 12 ft

Let width of cargo space = w ft

As per question statement:

Let height of cargo space = (w-1) ft

To find: The Dimensions of Cargo Space

Formula for Volume of Cargo Space:

V = Length $\times$ Width $\times$ Height

Putting the given values and conditions:

504 = 12 $\times$ $w \times (w-1)$

$\Rightarrow w(w-1) = \dfrac{504}{12}\\\Rightarrow w^{2} -w = 42\\\Rightarrow w^{2} -w - 42=0\\\Rightarrow w^{2} -7w +6w -42 =0\\\Rightarrow w(w -7) +6(w -7) =0\\\Rightarrow (w -7)(w+6) = 0\\\Rightarrow w =7, -6$

Dimensions can not be negative, so width, w = 7 ft

Height = (w-1) = 7-1 = 6 ft

So, the dimensions are 12ft $\times$ 7ft $\times$ 6ft.

5 0

3 years ago

Find X when y= -2 Thank you for your help and have a blessed day

Andreas93 [3]

Answer:

x = -5

Step-by-step explanation:

$4x+y=2(x+3y)\\\\4x-2=2(x+3(-2))\\\\4x-2=2(x-6)\\\\4x-2=2x-12\\\\4x-2+2=2x-12+2\\\\4x=2x-10\\\\4x-2x=2x-2x-10\\\\2x=-10\\\\\frac{2x=-10}{2}\\\\\boxed{x=-5}$

Hope this helps.

8 0

3 years ago

Read 2 more answers

8×6+(12-4)÷2 Options: 58, 52, 56, or 28

Virty [35]

Answer: 52

Step-by-step explanation:

8x6+(12-4)÷2

Parenthesis' first

8x6+8÷2

multiplication next

48+8÷2

Division next

48+4

52

6 0

2 years ago

Pls answer quick pls pls pls

xxTIMURxx [149]

Answer:

I got 2 km per hour

Step-by-step explanation:

7 0

2 years ago

Please help solve for x

Ludmilka [50]

Answer:

8.49

Step-by-step explanation:

there is a little formula related to the famous formula of Pythagoras.

it says that the height of a triangle is the square root of the product of both segments of the baseline (the segments the height splits the baseline into).

so, x is actuality the height of the triangle.

x = sqrt(3×24) = sqrt(72) = 8.49

7 0

3 years ago