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3 years ago

How to simplify. Year 8 level

Mathematics

1 answer:

Lerok [7]3 years ago

8 0

Answer:

hi, want to say that Math. way is a good way to solve those kind of problems try that app some time

the answer is 4

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How do you simplify this? x²y+xy² / y²+2/5 × xy

polet [3.4K]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

How do you simplify this?
x²y+xy² / y²+2/5 × xy

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf\frac{ { x }^{ 2 } y+x { y }^{ 2 } }{ { y }^{ 2 } + \frac{ 2 }{ 5 } \times xy } \\$

Factor the expressions that are not already factored.

_____

How to factorise :-

NUMERATOR $\downarrow$

$\sf \: x ^ { 2 } y + x y ^ { 2 }$

Factor out xy.

$\sf \: xy\left(x+y\right)$

DENOMINATOR $\downarrow$

$\sf{ y }^{ 2 } + \frac{ 2 }{ 5 } \times xy \\$

Factor out 1/5.

$\sf \: {\frac{1}{5}y\left(2x+5y\right)} \\$

_____

Continuing...

$\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)} \\$

Cancel out y in both the numerator and denominator.

$\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)} \\$

Expand the expression.

$\sf\frac{x^{2}+xy}{\frac{2}{5}x+y} \\$

This can further simplified to as $\downarrow$

$= \boxed{\boxed{\bf\frac{5x\left(x +y\right)}{2x+5y}}}$

3 0

3 years ago

I need help with #1

kolezko [41]

D. Because it corresponds to the angle to the left

5 0

3 years ago

Coleman uses his graphing calculator to find all of the solutions to the equation shown below.

Phoenix [80]

Answer:

The correct option is;

D. x = -1.38 and 0.82

Please find attached the combined function chart

Step-by-step explanation:

The given equation is x³ + 3 = -x⁴ + 4

Plotting the equation using Excel, we have;

f(x) = x³ + 3, h(x) = -x⁴ + 4

x f(x) h(x)

-1.4 0.256 0.1584

-1.39 0.314381 0.26699

-1.38 0.371928 0.373261

-1.37 0.428647 0.477246

-1.36 0.484544 0.57898

Which shows an intersection at the point around -1.38

x f(x) h(x)

0.77 3.456533 3.64847

0.78 3.474552 3.629849

0.79 3.493039 3.610499

0.8 3.512 3.5904

0.81 3.531441 3.569533

0.82 3.551368 3.547878

0.83 3.571787 3.525417

Which shows the intersection point around 0.82

Therefore, the correct option is x = -1.38 and 0.82

From the graphing calculator the intersection point is given as

x = -1.3802775691 and 0.81917251339.

8 0

3 years ago

Tristan's pen is 2/3 foot long. His pencil is 5/12 foot long. In feet , what is the conbined length of the pen and pencil

frosja888 [35]

The unsimplified answer is 40/12ft long.

8 0

2 years ago

Read 2 more answers

Roland’s Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 1 economy se

vovangra [49]

Roland’s Boat Tours will make more money if they sell more economy seats, hence the maximum profit is attained if they only sell the minimum deluxe seat which is 6

6*35+ 24*40 = 210+960= $1170

Given details

To make a complete tour, at least 1 economy seats

and 6 deluxe seats

Maximum passengers per tour = 30

"Boat Tours makes $40 profit for each economy seat sold and $35 profit for each deluxe seat sold"

Therefore, to maximise profit, he needs to take more of economy seats

Hence

Let a deluxe seat be x and economy seat be y

Maximise

6 x+ 24y = 30

The maximum profit from one tour is = 6*35+ 24*40 = 210+960= $1170

Learn more

brainly.com/question/25828237

7 0

2 years ago