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3 years ago

find the slope and y-intercept of the line that is parallel to y= -2x - 5 and passes through the point (-3,-3)

Mathematics

1 answer:

siniylev [52]3 years ago

4 0

Answer:

-9

Step-by-step explanation:

Slope is the same so y=-2x+b

Plug in x and y

-3=-2(-3)+b

-3=6+b

b=-9

(Y-intercept is -9)

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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

Mr. Simpson is buying jerseys for his High School football team. Thejerseys cost $0 each and there is a processing fee of $65 to

Rina8888 [55]

ANSWER

The linear equation is: y = 80x + 65

Te cost for 40 football jerseys: $3265

EXPLANATION

Let 'x' be the number of jerseys and 'y' the cost of x jerseys.

Each jersey costs $80, so the cost of x jerseys is 80x. There's also an extra fee for procesing of $65, which is the same no matter how many jerseys they buy.

Therefore, the cost 'y' of x jerseys is:

$y=80x+65$

Now we want to know the cost of 40 football jerseys, so we just have to replace x by 40 and solve:

$\begin{gathered} y=80\cdot40+65 \\ y=3200+65 \\ y=3265 \end{gathered}$

5 0

1 year ago

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lana66690 [7]

Answer:

oki wsp

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

On Saturday Ricardo drank a total of 40 fluid ounces of water.If he drank''m''fluid ounces of water that morning,which equation

Varvara68 [4.7K]

Answer:

n = ( 40 - m )

Step-by-step explanation:

On a particular day, Ricardo drank a total of 40 fluid ounces of water.

If he drank m fluid ounces of water in the morning of that day, then the number of fluid ounces of water he drank the rest of the day is given by (40 - m) fluid ounces.

If n represents the number of fluid ounces water that he drank the rest of the day, then we can write the equation as

n = ( 40 - m )

Therefore, the above equation can be used to find n. (Answer)

5 0

3 years ago

If Kim reduces the weekly number of hours she works by one-fourth and her current weekly income is $520.00, what is her new week

Dimas [21]

Answer:

$390 you divide 520 by 4 so 520/4=130 now we subtract 130 from 520, 520-130=390

Step-by-step explanation:

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3 years ago