Show that x + y : x - y= 3 : 2

Answers

Answer 1

Answer:

x + y : x - y = (5/2+1/2) : (5/2-1/2)

x + y : x - y = 3 : 2

Therefore,  x + y : x - y= 3 : 2 is proved.

Step-by-step explanation:

Given

x + y : x - y = 3 : 2

As

[tex]x + y = 3[/tex]

[tex]x - y = 2[/tex]

Solving to find x and y

[tex]\begin{bmatrix}x+y=3\\ x-y=2\end{bmatrix}[/tex]

[tex]x-y=2[/tex]

[tex]-[/tex]

[tex]\underline{x+y=3}[/tex]

[tex]-2y=-1[/tex]

[tex]\begin{bmatrix}x+y=3\\ -2y=-1\end{bmatrix}[/tex]

solve for y

[tex]-2y=-1[/tex]

Divide both sides by 2

[tex]\frac{-2y}{-2}=\frac{-1}{-2}[/tex]

[tex]y=\frac{1}{2}[/tex]

[tex]\mathrm{For\:}x+y=3\mathrm{\:plug\:in\:}y=\frac{1}{2}[/tex]

[tex]x+\frac{1}{2}=3[/tex]

[tex]x+\frac{1}{2}-\frac{1}{2}=3-\frac{1}{2}[/tex]

[tex]x=\frac{5}{2}[/tex]

so

[tex]x=\frac{5}{2},\:y=\frac{1}{2}[/tex]

Thus,

x + y : x - y = (5/2+1/2) : (5/2-1/2)

x + y : x - y = 3 : 2

Therefore,  x + y : x - y= 3 : 2 is proved.


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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

I seem to have learned this, but I just don't remember how to do it? Even if I remember, I don't know how to count it?

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Answers

Answer:

44 and 46

Step-by-step explanation:

Let the integers be:

n and n + 2

Then we have:

n + n + 2 = 3(n + 2) - 48

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67,132 divided by 7= ?
Round your answer to the nearest tenth.

Answers

Answer:

DONE!

Step-by-step explanation:

67132/7 = 9590.28571429

Rounded to the nearest tenth: 9590.3

Answer:

9590.3

Step-by-step explanation:

finally got to answer lol

What is the ratio of blue paint to red paint in the mixture?

Answers

Answer: I think the answer is 5:2 Hope This Helps

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Hoped I helped!

Have a wonderful day-

Bye!

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

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Answer:

a

Step-by-step explanation:

i don't really know just Draco told me i should answer this

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Answers

Use substitution
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Answer:

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Step-by-step explanation:

ez

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

x= -0.01984

Step-by-step explanation:

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If h(x)=2(x^2+5)+10, what is the value of p(13)

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]h(x) = 2( {x}^{2} + 5) + 10 [/tex]

[tex]h(x) = 2 {x}^{2} + 10 + 10[/tex]

[tex]h(x) = 2 {x}^{2} + 20[/tex]

_________________________________

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

9514 1404 393

Answer:

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Step-by-step explanation:

The side ratios in a 30-60-90 triangle are ...

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Step-by-step explanation:

evaluate the function at each specified
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Answers

Answer:

Evaluating the function is just replacing the "x" (or the "t" in the second case) by the value that we want:

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 a) q(0) = 1/(0^2 - 9) = 1/(-9) = - 1/9

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  [tex]\lim_{x \to \ 3} q(x) = infinity[/tex]

 c) q(y + 3) = 1/( (y + 3)^2 - 9) = 1/(y^2 + 6*y + 9 - 9) = 1/(y^2 + 6*y)

2) q(t) = (2*t^2 + 3)/t^2

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 b) q(0) = (2*0^2 + 3)/0^2 = 3/0

  Again, we can not divide by zero, this is simmilar to the case 1.b

 c) q(-x) = (2*(-x)^2 + 3)/(-x)^2 = (2*x^2 + 3)/x^2

   

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Answers

Answer:

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Step-by-step explanation:

Expand:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Problem 3

I'm not sure what your teacher is asking here. Identities are equations, but your teacher didn't give you an equation.

=============================================

Problem 4

To show that we have an identity, I'm only going to manipulate the left hand side to transform it into the right hand side. The right hand side will remain the same the entire time.

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(3x+7)(3x+7) - 84x = (3x-7)^2

(9x^2+21x+21x+49) - 84x = (3x-7)^2

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may be handy in terms of expanding out (3x+7)^2 and factoring 9x^2-42x+49

=============================================

Problem 5

x + 1/x = 11

a + b = 11 .... where a = x and b = 1/x

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An alternative route is to solve x + 1/x = 11 for x. You'll get two solutions. Use either solution to plug into x^2 + 1/(x^2) to find the result is 119.

The snack bar at the school purchases water bottles at wholesale and then marks them up to make a profit. It marks up the water bottles by 33 and one-third percent, an amount of $0.28.

Percents
Total
33One-third%
33One-third%
33One-third%
100%
$0.28
$0.28
$0.28


What was the wholesale price of each water bottle?

$0.56

$0.84

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Answers

Answer:

Step-by-step explanation:

0.84 * 33 1/3% = 0.28

The answer is $0.84

Answer:

0.84

Step-by-step explanation:

took the test edge 2021

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Answers

Answer:

y= -2x-6

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Took the quiz on Edge. Have an amazing day! ^w^

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